modul selia bantu 2008 ( bpg )
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Mathematics Module
Modul Selia Bantu PPSMI 2
Bahagian Pendidikan Guru Kementerian Pelajaran Malaysia Aras 2 – 6 Blok E 13 Kompleks Kerajaan Parcel E Pusat Pentadbiran Persekutuan 62604 PUTRAJAYA Hak cipta terpelihara. Tidak dibenarkan mengeluar ulang mana-mana bahagian isi kandungan modul ini dalam apa jua bentuk dan apa jua cara sama ada elektronik, fotostat, makanik rakaman atau cara lain sebelum mendapat izin bertulis daripada Bahagian Pendidikan Guru, Kementerian Pelajaran Malaysia, Aras 2 – 6, Blok e 13 Kompleks Kerajaan Parcel E, Pusat Pentadbiran Persekutuan 62604 PUTRAJAYA Hakcipta Bahagian Pendidikan Guru Kementerian Pelajaran Malaysia Cetakan Pertama 2008
Mathematics Module
Modul Selia Bantu PPSMI 3
FOREWORD
Mathematics Module
Modul Selia Bantu PPSMI 4
ADVISOR
Datin Asariah Bt Meor Shahruddin
Director Of Teacher Education Division Ministry Of Education Malaysia
CHAIRMAN
Tuan Haji Mokhtar Bin Mat Dris
District Education Officer Perak Tengah Perak
COORDINATOR
En. Romai Noor Bin Rabbu
Assistant Director Of Teacher Education Division Ministry Of Education, Malaysia
MODULE PANELLISTS : 1. Tn. Hj. Ahmad Damanhuri Bin Nordin
Duputy District Education Officer Perak Tengah , Perak
2. Tn. Syed Azelan Bin Syed Abu Hassan Assistant District Education Officer ( Mathematics and Science ) Perak Tengah, Perak
3. En. Mohd Ramdzan Bin Mukhtar Assistant District Education Officer ( Languages ) Perak Tengah, Perak 4. En. Zaudi Bin Lebai Mat Assistant District Education Officer ( Vocational and Technology ) Perak Tengah, Perak
5. Cik Zarena Bi Binti Mohamed Sadique SMK Tengku Aris Bendahara Kluang, Johor
FACILITATOR: 1. Cik Zarena Bi Binti Mohamed Sadique
SMK Tengku Aris Bendahara Kluang, Johor
Mathematics Module
Modul Selia Bantu PPSMI 5
MODULE WRITERS : En. Rosli b Maun ( Ketua Panel ) SK Seri Iskandar, 32800 Parit, Perak
18 tahun mengajar Guru Cemerlang Matematik SK Jurulatih Utama Matematik Panel Pembinaan Item Pemeriksa Kertas Matematik Ketua Panitia Matematik
Pn. Hjh. Hapipah Bt Sahar SK Layang – Layang Kanan, 32800 Parit, Perak
30 tahun mengajar Guru Kanan Guru Cemerlang Matematik SK Jurulatih Utama Etems Panel Pembinaan Item Pemeriksa Kertas Matematik Ketua Panitia Matematik
Email :[email protected]
Pn. Zureida Binti Hj. Huri SK Bota Kanan, 32600 Bota, Perak
18 tahun mengajar Jurulatih Utama Etems Panel Pembinaan Item Pemeriksa Kertas Matematik Ketua Panitia Matematik
En. Mohamad Razhuan Bin Napi SK Tepus, 32800 Parit, Perak
19 tahun mengajar Guru Kanan Guru Cemerlang Matematik SK
1. Jurulatih Utama Matematik Jurulatih Utama Head Count Panel Pembinaan Item Pemeriksa Kertas Matematik Ketua Panitia Matematik
Email : [email protected]
En. Fairuz Bin Ali @ Ibrahim SK Dato’ Sagor 36000 Kampong Gajah, Perak
4 tahun mengajar Jurulatih Utama Matematik Daerah Penel Penggubal Item Matematik Ketua Panitia Matematik Sekolah
email: [email protected]
En. Nor Hisham Bin Ayob SK Toh Paduka Raja 36800 Kampong Gajah, Perak
4 tahun mengajar Ketua Panitia Matematik Sekolah Panel WAJA Panel Soalan Percubaan UPSR
Negeri Panel Penggubal Item Matematik
Daerah Email:[email protected]
Mathematics Module
Modul Selia Bantu PPSMI 6
Pn. Kasmawati Binti Meor Abas SK Belanja,2800 Parit ,Perak
16 tahun mengajar Guru Kanan HEM Penel Penggubal Item Matematik Ketua Panitia Matematik Sekolah
Negeri Perak
Pn. Rohhaya Binti Yunos SK Titi Gantung,32600 Bota, Perak.
21 tahun mengajar Ketua Panitia Matematik Sekolah Panel Penggubal Soalan Daerah
En. Rozali Bin Din SK Tanjung Belanja,32800 Parit,Perak
24 tahun mengajar Pengerusi Panitia Matematik Sekolah Panel Penggubal Soalan Daerah Panel Penggubal Soalan Percubaan
Cik Norazawati Binti Hj. Damiri SK Iskandar Shah,32800 Parit,Perak
12 tahun mengajar Panel Penggubal Soalan Daerah Panel Penggubal Soalan Percubaan
Negeri Perak
EDITORS: 1. Pn. Fatimah Binti Mustafa
SMK Bandar Maharani Muar, Johor
2. Pn. Sarweswari A/P Karuppiah SMK Dato Hj Kamaruddin, Kuala Kubu Baru Ulu Selangor, Selangor
3. Pn. Selvarani A/P Thanggiah
SMK Sultan Abdul Aziz Shah Kajang, Selangor
Mathematics Module
Modul Selia Bantu PPSMI 7
MATHEMATICS MODULES SCHEDULE
MODULE A
Week Module Topic Pages
1 A Whole Numbers 18 - 32 2 A Whole Numbers 33 - 45 3 A Whole Numbers 46 – 73 4 A Fractions 74 – 81 5 A Fractions 82 - 96 6 A Decimals 97 - 121 7 A Money 122 - 153 8 A Percentage 154 - 160 9 A Percentage 161 - 171
MODULE B
Week Module Topic Pages
10 B Time 173 - 193 11 B Average 194 - 207 12 B Length 208 - 218 13 B Mass 219 - 234 14 B Volume of Liquid 235 - 271 15 B Shape and Space 272 - 285
MODULE C
Week Module Topic Pages
16 C SET 1 ( Paper 1 ) 288 – 305 17 C SET 1 ( Paper 2 ) 306 – 310 18 C SET 2 ( Paper 1 ) 311 – 325 19 C SET 2 ( Paper 2 ) 326 – 330 20 C SET 3 ( Paper 1 ) 331 – 346 21 C SET 3 ( Paper 2 ) 347 – 351
Mathematics Module
Modul Selia Bantu PPSMI 8
TABLE OF CONTENT
CONTENT PAGES Foreword 3 Introduction AIMS and Objectives 11 - 12 Whole Numbers 16 - 81 Fractions 82 - 96 Decimals 97 - 119 Money 120 - 151 Percentage 152 - 172 Time 173 - 193
Average 194 - 207 Length 208 - 218 Mass 219 - 234 Volume of Liquid 235 - 271 Shape and Space 272 - 285 Sample of Questions ( Paper 1 and Paper 2 ) 286 - 351 Answer sheets 352 - 353 Individual Score Mark 354
Mathematics Module
Modul Selia Bantu PPSMI 9
TEST SPECIFICATION TABLE – MATHEMATICS UPSR PAPER 1 /2
UPSR MATHEMATICS TEST CONTENTS TOPIC Mathematics test content
Whole number
1.1 1.2 1.3 1.4 1.5 1.6 1.7
Write any number in words or numerals up to 1 000 000 Write any number in fraction or decimals ( up to 3 decimal palces) in Million up to 1 000 000 and vice –versa Determine the place value of digit up to 1 000 000 Round off any numbers , not more than 1000000 to the nearest hundred thousand , ten thousands, thousands, hundreds and tens. Ability to perform basic operations Ability to perform mixed operation involving number less than 10 000 To solve problems in daily situations.
2.1 Name and write proper fraction 2.2 Convert proper fractions to equivalent fractions 2.3 Convert fraction to its simplest form 2.4 Convert improper fractions to a mixed number and vice versa 2.5 Add / subtract
i / proper fraction with proper fraction ii/mixed number with proper fraction with the same denominator iii/ mixed number with proper fraction with different denominator iv/mixed number with mixed number with different denominator v/ mixed number with mixed number with different denominator
2.6 Multiply i/ proper fraction with whole number
Fraction
2.8 Solve problems in daily situation 3.1 Convert / express fraction of tenths, hundredths and thousandths into
decimals and vice – versa 3.2 Add whole numbers or decimals with decimals up to 3 decimal places 3.3 Subtract decimal from decimal or whole number 3.4 Multiply decimals less than 10 with one digit
Decimals
3.5 Divide decimal less than 10 4.1 Perform basic operation of addition , subtraction , multiplication and
division involving money in RM or RM and Sen 4.2 Perform mixed operation of addition and subtraction , multiplication
and division involving money in RM or RM and Sen 4.3 Solve problems in daily situations ( Exclude profit , loss , discount)
Money ( up to
RM 100000)
4.4 Read and complete a bill
Mathematics Module
Modul Selia Bantu PPSMI 10
5.1 Convert fraction of hundredths to percentage and vice-versa 5.2 Convert proper fraction with denominator of 2,4,5.& 10 5.3 Solve problem in daily places to percentage and vice versa
Percentage
5.4 Solve problems in daily situations 6.1 State the time in hours and minutes , a.m and p.m & 24 hour system 6.2 Convert 12 – hour system to 24 hour system and vice – versa 6.3 Read information from a schedule , a calendar and a clock face 6.4 Draw the hour and the minute hands on a clock face 6.5 Find duration of time and conversion of units 6.6 Perform basic operation involving second , minutes , hours , days ,
weeks, months and years. 6.7 Solve problems in daily situations.
Time
7.1 Read the scales in m , cm & mm 7.2 Convertion of units 7.3 Perform basic operation involving cm , m and km Length
7.4 Solve problems in in daily situations 8.1 Read the scales in kg and g 8.2 Convert kg to g and vice – versa 8.3 Perform basic operation involving cm , m and km
Mass
8.4 Solve problems in daily situasions 9.1 Read the scales in l and ml 9.2 Convert l to ml and vice – versa 9.3 Perform basic operation involving l and ml 9.4 Solve problems in daily situation
Volume Of Liquid
10.1 Name and state 2 –D shapes - square , rectangle , right-angled triangle 10.2 State the characteristics of 2 –D shapes 10.3 To determine the perimeter of a square , rectangle or triangle 10.4 To determine the perimeter of composite shapes 10.5 To determine the area of a square or a rectangle 10.6 To determine the area of composite shapes 10.7 Name and state 3 – D shapes
2-D and 3 D Dimensional
Shapes
10.8 Find the volumeof a cube and cuboid 11.1 Calculate the average of two to five quantities , numbers less than 1 00011.2 Solve problems in daily situations Average 12.1 Read and interpret data from a pictograph or a bar graph Data
Handling 12.2 Solve problems in daily situations
Mathematics Module
Modul Selia Bantu PPSMI 11
NATIONAL EDUCATION PHILOSOPHY
Education in Malaysia is an ongoing effort towards further developing
the potential of individuals in a holistic and integrated manner so as to produce individuals who are
intellectually, spiritually, emotionally and physically
balanced and harmonious, based on a firm belief in God. Such an
effort is designed to produce Malaysian citizens who are
knowledgeable and competent, who possess high moral standards,
and who are responsible and capable of achieving a high level of
personal well-being as well as being able to contribute to the betterment of the family, the
society and the nation at large.
Mathematics Module
Modul Selia Bantu PPSMI 12
MATHEMATICS AIM FOR PRIMARY SCHOOL
TThhee MMaatthheemmaattiiccss CCuurrrriiccuulluumm aaiimmss ttoo bbuuiilldd ppuuppiillss’’ uunnddeerrssttaannddiinngg ooff nnuummbbeerr ccoonncceeppttss aanndd tthheeiirr bbaassiicc sskkiillllss iinn ccoommppuuttaattiioonn tthhaatt tthheeyy ccaann aappppllyy iinn tthheeiirr ddaaiillyy rroouuttiinneess eeffffeeccttiivveellyy aanndd rreessppoonnssiibbllyy iinn kkeeeeppiinngg wwiitthh tthhee aassppiirraattiioonnss ooff aa ddeevveellooppeedd ssoocciieettyy aanndd nnaattiioonn,, aanndd aatt tthhee ssaammee ttiimmee ttoo uussee tthhiiss kknnoowwlleeddggee ttoo ffuurrtthheerr tthheeiirr ssttuuddiieess..
MATHEMATICS OBJECTIVES FOR PRIMARY SCHOOL
KKnnooww aanndd uunnddeerrssttaanndd mmaatthheemmaattiiccaall ccoonncceeppttss,, rruulleess aanndd pprriinncciipplleessrreellaattiinngg ttoo nnuummbbeerrss,, ooppeerraattiioonnss,, ssppaaccee,, mmeeaassuurreemmeenntt aanndd ddaattaa rreepprreesseennttaattiioonn
MMaasstteerr bbaassiicc ooppeerraattiioonnss ooff mmaatthheemmaattiiccss aaddddiittiioonn,, ssuubbttrraaccttiioonn,, mmuullttiipplliiccaattiioonn,, ddiivviissiioonn;; Master the skills of combined operations MMaasstteerr bbaassiicc mmaatthheemmaattiiccaall sskkiillllss,, nnaammeellyy mmaakkiinngg eessttiimmaatteess aanndd aapppprrooxxiimmaatteess,, mmeeaassuurriinngg,, hhaannddlliinngg ddaattaa,, rreepprreesseennttiinngg iinnffoorrmmaattiioonn iinn tthhee ffoorrmm ooff ggrraapphhss aanndd cchhaarrttss UUssee mmaatthheemmaattiiccaall sskkiillllss aanndd kknnoowwlleeddggee ttoo ssoollvvee pprroobblleemmss iinn
eevveerryyddaayy lliiffee eeffffeeccttiivveellyy aanndd rreessppoonnssiibbllyy;; UUssee tthhee llaanngguuaaggee ooff mmaatthheemmaattiiccss ccoorrrreeccttllyy UUssee ssuuiittaabbllee tteecchhnnoollooggyy iinn ccoonncceepptt bbuuiillddiinngg,, aaccqquuiirriinngg
mmaatthheemmaattiiccaall sskkiillllss aanndd ssoollvviinngg pprroobblleemmss AAppppllyy tthhee kknnoowwlleeddggee ooff mmaatthheemmaattiiccss ssyysstteemmaattiiccaallllyy,, hheeuurriissttiiccaallllyy,,
aaccccuurraatteellyy aanndd ccaarreeffuullllyy PPaarrttiicciippaattee iinn aaccttiivviittiieess rreellaatteedd ttoo MMaatthheemmaattiiccss;; aanndd AApppprreecciiaattee tthhee iimmppoorrttaannccee aanndd tthhee bbeeaauuttyy ooff MMaatthheemmaattiiccss..
Mathematics Module
Modul Selia Bantu PPSMI 13
5 LEARNING PRINCIPLES
Every classroom activity for the teaching and learning of Mathematics must include the five learning principles: 1 Problem Solving 2 Mathematical Communication 3 Reasoning 4 Making Connection 5 The Use of Technology
MODULE AIM
To use the simplest approach and method in the teaching and learning process to help teachers guide the student to master the basic skills and hence improve the performance and percentage of passes for Mathematics in Primary school.
MODULE OBJECTIVES At the end of this module, it is hoped that teachers 1 are able to help and guide the students to obtain answers using the
simplest method 2 will be able to vary the types of questions for assessments and
examinations 3 will give maximum exercises focusing on the UPSR format At the end of this module, it is hoped that students 2 are able to master basis skills of Mathematics for Primary School 3 are able to equip themselves to answers Mathematics questions 4 are able to do self access learning.
Mathematics Module
Modul Selia Bantu PPSMI 14
Guidelines To Usage Of The Module
Receive Module
Internalising and Understanding Module
This is a self access module. It is important that teachers understand and internalize the steps given and guide the students in answering
the questions based on those steps
Mass produce the Modules
Distribute Module to Students
Guidelines For Usage 1 Used as supporting material in the teaching and learning
process. 2 Teachers are encouraged to use the module topically. 3 Teachers act as facilitators when the students are using the
module 4 Every student owns a complete set of this module
Mathematics Module
Modul Selia Bantu PPSMI 15
Mathematics Module
Modul Selia Bantu PPSMI 16
Mathematics Module
Modul Selia Bantu PPSMI 17
i. 3 796 + 20 489 =
ii. 40 000 – 3578
=
iii. 6 934 x 35 =
1.4.1 Round off 38 427 to the nearest tens.
1.4.2 29 641 when rounded off to
the nearest thousands is
Types of questions
1.1.1 Write in words the number 30 402.
1.1.2 The number words for
62 057 is
1.1.3 Write the numeral for ‘forty-two thousand and six’.
i. ‘Eighteen thousand and thirty’
1.2.1 Convert 0.49 million to a numeral.
i. Express 7 003 000 to a decimal
of million
1.2.3 Convert 434 million to a numeral
a. There are 4 500 pupils. 395 are girls. What is the total of boys?
i. What is the place value of digit 4 in the number 38 402?
i. 18 x 246 ÷ 4 =
ii. 350 + 28 ÷ 7 =
iii. 104 – 17 x 42 =
Mathematics Module
Modul Selia Bantu PPSMI 18
WEEK : 1 THEME : WHOLE NUMBERS TOPIC : NUMBERS UP TO 7 DIGITS TIME : 4 HOURS 30 MINUTES OBJECTIVES At the end of this week, pupils should be able to: i. name and write numbers up to 1 000 000 ii. determine the place value of digits up to 1 000 000 iii. round off the numbers to the nearest tens, hundreds, thousands, and ten thousands. GENERAL INSTRUCTIONS
1. This section contains 4 parts. 2. Answer all the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 19
TOPIC 1.1 (a) Write number words in numeral forms INSTRUCTIONS
Write the following values in numeral form.
No In words Numerals
1 Two hundred thousand and two
2 Eighty thousand and twenty-seven
3 Sixty-one thousand and seven
4 Five hundred thirty-six thousand and three hundred
5 Two hundred four thousand and fifty
6 Eighty thousand five hundred
7 Seven hundred two thousand and sixteen
8 Three hundred thousand four hundred and five
9 Forty-seven thousand eight hundred and six
10 Nineteen thousand and eighty-nine
11 Eight hundred three thousand and fifty
12 Seventy-five thousand and fifteen
13 Sixty thousand and nine
14 Five thousand and eighty-one
15 Twenty-five thousand three hundred
16 Three hundred two thousand eight hundred and three
17 Forty thousand two hundred
18 Fifty-three thousand and forty-four
19 Sixty-six thousand six hundred and three
20 Seven hundred thousand and two
Mathematics Module
Modul Selia Bantu PPSMI 20
TOPIC 1.1 (b) Write numbers in words INSTRUCTION
Write the following values in words.
No
Value In words
1 12 063 2 4 006 3 3 098 4 3 906 5 193 063 6 700 543 7 90 652 8 76 530 9 72 055
10 22 002
Mathematics Module
Modul Selia Bantu PPSMI 21
11 33 303 12 40 404 13 55 099 14 209 876 15 107 653 16 70 876 17 11 011 18 76 002 19 53 000 20 76 307
Mathematics Module
Modul Selia Bantu PPSMI 22
TOPIC 1.2 (a) Determine the place value of digits up to 1 000 000 INSTRUCTION Express the following decimals of a million in numerals.
No
Decimal of a million Numerals
Example 0.34 million 340 000
1 1.098 million
2 2.3 million
3 3.45 million
4 4.04 million
5 5.003 million
6 6.23 million
7 7.7 million
8 8.91 million
9 6.87 million
10 3.45 million
11 6.59 million
12 4.23 million
13 5.64 million
14 2.25 million
15 2.19 million
16 4.37 million
17 5.09 million
18 5.67 million
19 7.09 million
20 5.47 million
Mathematics Module
Modul Selia Bantu PPSMI 23
TOPIC 1.2 (b) Determine the place value of digits up to 1 000 000 INSTRUCTION
Express the following numerals in decimal of a million.
No
Numerals Decimal of a million
Example 340 000 0.34 million
1 250 000
2 200 000
3 6 908 000
4 7 689 000
5 5 768 000
6 786 000
7 675 000
8 6 574 000
9 5 769 000
10 540 000
11 6 590 000
12 4 680 000
13 6 859 000
14 560 000
15 789 000
16 5 768 000
17 6 890 000
18 7 200 000
19 3 589 000
20 567 000
Mathematics Module
Modul Selia Bantu PPSMI 24
TOPIC 1.2 (c) Determine the place value of digits up to 1 000 000 INSTRUCTION
Express the following fractions of a million to numerals.
No Fractions Numerals
1 41
million
2 51
million
3 52
million
4 241
million
5 321
million
6 7 43
million
7 541
million
8 852
million
9 243
million
10 101
million
11 641
million
12 5101
million
13 851
million
14 10 41
million
15 343
million
16 241
million
17 652
million
18 841
million
19 5 101
million
20 852
million
Mathematics Module
Modul Selia Bantu PPSMI 25
TOPIC 1.2 (d) Determine the place value of digits up to 1 000 000 INSTRUCTION
Express the following numerals int fractions of a million.
No
Numerals Fractions
1 900 000
2 200 000
3 400 000
4 3 500 000
5 5 500 000
6 5 250 000
7 6 500 000
8 750 000
9 500 000
10 6 500 000
11 1 750 000
12 5 250 000
13 3 250 000
14 5 200 000
15 4 250 000
16 1 400 000
17 5 750 000
18 2 500 000
19 3 100 000
20 9 250 000
Mathematics Module
Modul Selia Bantu PPSMI 26
TOPIC 1.2 (e) Determine the place value of digits up to 1 000 000 INSTRUCTION
State the place value and the digit value for the underlined digits.
No Numeral
Place Value
Digit value
1 25 567
2
34 578
3
20 098
4
129 008
5
234 872
6
109 455
7
3 409
8
2 308
9
3 456
10
23 478
Mathematics Module
Modul Selia Bantu PPSMI 27
11
45 785
12
67 543
13
45 760
14
436 789
15
560 763
16
359 796
17
459 205
18
345 299
19
4 496
20
96 587
Mathematics Module
Modul Selia Bantu PPSMI 28
TOPIC 1.2 (f) Determine the place value of digits up to 1 000 000 INSTRUCTION
State the place value and the digit value for the digit ‘4’
No Numerals
Place Value
Digit value
1 23 450
2
45 789
3
3 409
4
3 004
5
230 643
6
498 123
7
245 093
8
654 870
9
657 450
10
467 875
Mathematics Module
Modul Selia Bantu PPSMI 29
11
540 685
12
498 900
13
675 904
14
674 799
15
657 497
16
748 689
17
561 497
18
606 453
19
564 980
20
475 896
Mathematics Module
Modul Selia Bantu PPSMI 30
TOPIC 1.3 Develop number sense up to seven digits. INSTRUCTION
Form the biggest and the smallest number from the digits given.
No
Digits
Biggest number
Smallest numbers
1 3 , 4 , 0 ,6
2 1 , 2 , 1 , 3
3 0 , 2, 4 , 0
4 3 , 1 , 6 , 7
5 0 , 0 , 1 , 4
6 3 , 5 , 2 , 9
7 2 , 2 , 3 , 1
8 2 , 6 , 6 , 7
9 6 , 2 , 5 , 7
10 1 , 3 , 5 , 2
11 5 , 3 , 2 , 1 , 7
12 0 , 3, 0 , 1 , 0
13 1 , 2 , 3 , 1 , 2
14 2 , 4 , 6 , 0 , 4
15 9 , 9 , 2 , 0 , 8
16 3 , 9 , 8 , 0 , 1
17 1 , 1 , 1 , 1 , 2
18 3 , 3 , 4 , 4 , 3
19 6 , 6 , 3 , 3 , 4
20 7 , 3 , 6 , 4 , 6
Mathematics Module
Modul Selia Bantu PPSMI 31
TOPIC 1.4 Round off numbers to the nearest hundreds, thousands and ten thousands. INSTRUCTION Round off these numbers to the nearest hundreds, thousands and ten thousands.
No Number Hundred Thousand Ten thousand
1 23 451
2 45 451
3 16 409
4 79 004
5 230 643
6 498 123
7 245 093
8 356 432
9 564 987
10 437 982
11 346 231
12 145 504
13 235 240
14 237 459
15 347 230
16 344 564
17 564 791
18 453 670
19 674 921
20 453 221
Mathematics Module
Modul Selia Bantu PPSMI 32
ANSWERS WEEK 1
1.1 (a)
1. 200 002 2. 80 027 3. 61 007 4. 536 300 5. 204 050 6. 80 500 7. 702 016 8. 300 405 9. 47 806 10. 19 089 11. 803 050 12. 75 015 13. 60 009 14. 5 081 15. 25 300 16. 302 803 17. 40 200 18. 53 044 19. 66 603 20. 700 002
1.1 (b)
1.Twelve thousand and sixty-three 2. Four thousand and six 3. Three thousand and ninety-eight 4. Three thousand nine hundred and six 5. One hundred ninety-three thousand and sixty-three 6. Seven hundred thousand five hundred and forty-three. 7. Ninety thousand six hundred and fifty-two 8. Seventy-six thousand five hundred and thirty 9. Seventy-two thousand and fify- five 10. Twenty-two thousand and two 11. Thirty-three thousand
three
hundred and three 12. Forty thousand four hundred and four 13. Fifty-five thousand and ninety-nine 14. Two hundred nine thousand eight hundred and seventy-six 15. One hundred seven thousand six hundred and fifty-three 16. Seventy thousand eight hundred and fifty-three 17. Eleven thousand and eleven 18. Seventy six thousand and two 19. Fifty-three thousand 20. Seventy-six thousand three Hundred and seven.
1.2 (a)
1) 1 098 000 2) 2 300 000 3) 3 450 000 4) 4 040 000 5) 5 003 000 6) 6 230 000 7) 7 700 000 8) 8 910 000 9) 6 870 000 10) 3 450 000 11) 6 590 000 12) 4 230 000 13) 5 640 000 14) 2 250 000 15) 2 190 000 16) 4 370 000 17) 5 090 000 18) 5 670 000 19) 7 090 000 20) 5 470 000
1.2(b)
1. 0.25 million 2. 0.2 million 3. 6.908 million 4. 7.689 million 5. 5.768 million 6. 0.786 million 7. 0. 675 million 8. 6.574 million 9. 5.769 million 10. 0.54 million 11. 6.590 million 12. 4.68 million 13. 6.859 million 14. 0.56 million 15. 0.789 million 16. 5.768 million 17. 6.89 million 18. 7.2 million 19. 3.589 million 20. 0.567 million
1.2(c)
1. 250 000 2. 200 000 3. 400 000 4. 2 250 000 5. 3 500 000 6. 7 750 000 7. 5 250 000 8. 8 400 000 9. 2 750 000 10. 100 000 11. 625 000 12. 5 100 000 13. 8 200 000 14. 10 250 000 15. 3 750 000 16. 2 250 000 17. 6 400 000 18. 8 250 000 19. 5 200 000 20. 8 400 000
Mathematics Module
Modul Selia Bantu PPSMI 33
1.2 (d)
1. 109
million
2. 51
million
3. 52
million
4. 213 million
5. 215 million
6. 415 million
7. 216 million
8. 43. million
9. 21
million
10. 216 million
11. 431 million
12. 41. million
13. 413 million
14. 515 million
15. 414 million
16. 521 million
17. 435 million
18. 212 million
19. 1012 million
20. 419 million
1.2 (e) 1. ones 7 2. hundreds 500 3. tens 90 4. thousands 9000 5. hundred thousands 200 000 6. hundreds 400 7. thousands 3000 8. hundreds 300 9. tens 50 10. ten thousands 20 000 11. hundreds 700 12. thousands 7000 13. tens 60 14. thousands 6000 15. hundreds 700 16. hundred thousands 300 000 17. ones 5 18. ten thousands 40 000 19. tens 90 20. hundreds 500
1.2 (f) Place value Digit Value 1. hundreds 400 2. ten thousands 40 000 3. hundreds 400 4. ones 4 5. tens 40 6. hubdred thousands 400 000 7. ten thousands40 000 8. thousands 4000 9. hundreds 400 10. hundred thousands 400 000 11. ten thousands 40 000 12. hundred 400 000 13. ones 4 14. thousands 4000
15. hundreds 400 16. tens thousands 40 000 17. hundreds 400 18. hundreds 400 19. thousand 4000 20. hundred thousands 400 000
1.3 Biggest Smallest numbers numbers 1. 6430 3046 2. 3211 1123 3. 4200 2004 4. 7631 1367 5. 4100 1004 6. 9532 2359 7. 3221 1223 8. 7662 2667 9. 7652 2567 10. 5321 1235 11. 75321 12 357 12. 31 000 10 003 13. 32 211 32 211 14. 64420 20 446 15. 99 820 20 899 16. 98 310 10 389 17. 21 111 11 112 18. 44 333 33 344 19. 66 433 33 466 20. 76 643 34 667
Mathematics Module
Modul Selia Bantu PPSMI 34
1.4 Hundred
1. 23 500 2. 45 500 3. 16 400 4. 79 000 5. 230 600 6. 498 100 7. 245 100 8. 356 400 9. 565 000 10. 438 000 11. 346 200 12. 145 500 13. 235 200 14. 237 500 15. 347 200 16. 344 600 17. 564 800 18. 453 700 19. 674 900 20. 453 200
Thousand
23 00 45 000 16 000 79 000 231 000 498 000 245 000 356 000 565 000 438 000 346 000 146 000 235 000 237 000 347 000 345 000 565 000 454 000 675 000 453 000
Ten Thousand
20 000 50 000 20 000 80 000 230 000 500 000 250 000 360 000 560 000 440 000 350 000 150 000 240 000 240 000 350 000 340 000 560 000 450 000 670 000 450 000
Mathematics Module
Modul Selia Bantu PPSMI 35
WEEK : 2 THEME : WHOLE NUMBERS TOPIC : BASIC OPERATIONS WITH NUMBERS UP TO SEVEN DIGITS TIME : 3 HOURS OBJECTIVES At the end of this week, pupils should be able to: i. solve questions involving basic operations GENERAL INSTRUCTIONS
1.This section contains 5 parts. 2.Answer all the questions in this section.
WEEK : 2 THEME : 1.5 BASIC OPERATION TIME : 3 hours OBJECTIVES : At the end of this week the pupils should be able to
i. perform basic questions
Mathematics Module
Modul Selia Bantu PPSMI 36
TOPIC 2.1 Perform basic operation of addition. INSTRUCTION Solve the following questions in vertical forms.
1. 2345 + 637 =
2. 7654 + 238 = 3. 78 + 23 456 =
4. 87 654 + 2729 =
5. 765 + 23 718 = 6. 15 965 + 6028 =
7. 568 + 12 386 = 8. 76 123 + 9282 = 9. 8765 + 12 243 =
Mathematics Module
Modul Selia Bantu PPSMI 37
10. 85 271 + 6 137 =
11. 25 418 + 238 = 12. 4 478 + 23 456 =
13. 8 450 + 27 296 =
14. 7 654 + 23 718 =
15. 1 457 + 60 428 =
16. 7 568 + 2 386 =
17. 76 564 + 956 =
18. 48 765 + 2 243 =
Mathematics Module
Modul Selia Bantu PPSMI 38
TOPIC 2.2 Perform basic operation of substraction. INSTRUCTION
Solve the following questions in the vertical form
1. 2345 - 637 =
2. 7654 - 238 = 3. 22 347 - 3 456 =
4. 87 654 - 2729 =
5. 23 765 - 3 718 = 6. 15 965 - 6028 =
7. 24 568 - 12 386 = 8. 76 123 - 9282 = 9. 8765 - 2 243 =
Mathematics Module
Modul Selia Bantu PPSMI 39
10. 12 234 - 6371 =
11. 76 542 – 2 412 = 12. 23 378 - 3 456 =
13. 87 634 - 22 729 =
14. 42 765 - 23 718 = 15. 55 965 - 6 228 =
16. 35 568 - 4 386 = 17. 56 123 - 2 562 = 18. 38 765 - 4 243 =
Mathematics Module
Modul Selia Bantu PPSMI 40
TOPIC 2.3 Perform basic operations of multiplication. INSTRUCTION Solve the following questions in the vertical form
1. 2345 x 7 =
2. 7054 x 8 = 3. 7823 x 6 =
4. 8054 x 9 =
5. 765 x 23 = 6. 509 x 60 =
7. 568 x 12 = 8. 6 12 x 42 = 9. 1705 x 24 =
Mathematics Module
Modul Selia Bantu PPSMI 41
10. 22 345 x 7 =
11. 27 054 x 8 = 12. 71 823 x 6 =
13. 2 154 x 9 =
14. 654 x 13 = 15. 509 x 30 =
16. 568 x 22 = 17. 6 12 x 21 = 18. 1705 x 14 =
Mathematics Module
Modul Selia Bantu PPSMI 42
TOPIC 2.4 Perform basic operations of division. INSTRUCTION
Solve the following questions in the vertical form.
1. 2345 ÷ 7 =
2. 7656 ÷ 8 = 3. 7836 ÷ 6 =
4. 87 651 ÷ 9 =
5. 7656 ÷ 11 = 6. 714 ÷ 21 =
7. 5664 ÷ 32 = 8. 76 120 ÷ 22 = 9. 8733 ÷ 41 =
Mathematics Module
Modul Selia Bantu PPSMI 43
10. 24 352 ÷ 7 =
11. 17 656 ÷ 8 = 12. 17 836 ÷ 6 =
13. 87 651 ÷ 5 =
14. 7656 ÷ 12 = 15. 4 714 ÷ 21 =
16. 15 668 ÷ 21 = 17. 75 120 ÷ 12 = 18. 8733 ÷ 21 =
Mathematics Module
Modul Selia Bantu PPSMI 44
TOPIC 2.5 Problem solving involving basic operations INSTRUCTION
Solve the following problems
Question Answer
1. 3560 men take part in a marathon. There are 389 women more than men in the race. Find the total number of women.
2. The diagram shows the number of animals in farm X . What is the number of animals in the farm X ?
3. The diagram shows the numbers of pupils in SMY School. What is the total number of the pupils in SMY School ?
4. The table shows the number of stamps collected by two pupils
Pupils Number of stamps
Fahmi 2 874 Razak 916
How many stamps have both boys collected?
SMY
School Boy : 1 654 Girls : 1 953
291 Goats 12 986 Cows
Mathematics Module
Modul Selia Bantu PPSMI 45
Question Answer 5. There are 1350 pupils in the school. 799 are boys. How many of them are girls?
6. The table shows a number of animals in two zoos .
Zoo Number of animals KL 3 568
Melaka 1 287
What is the difference in the number of animals between KL Zoo and Melaka Zoo ?
7. Diagram 1 shows the number of Azi’s stamps. Milah has 237 stamps less than Azi . How many stamps does Milah have ?
8. Diagram 2 shows the number of marbles that Dali has in a box. He gives 557 marbles to Yem. How many marbles are left ? 9. There are 360 pencils in a box. How many pencils are there in 3 boxes ?
4 876
14 365 marbles
Mathematics Module
Modul Selia Bantu PPSMI 46
10. The diagram shows the number of oranges in a box.
Find the total number of oranges in 12 boxes.
11. The diagram shows the number of chocolates in a box. Diagram 4 How many chocolates are there in 9 boxes ?
12. A box contains 24 tins of drink. Find the number of tins in 12 boxes.
63 oranges
36 chocolates
Mathematics Module
Modul Selia Bantu PPSMI 47
Question Answer 13 352 participants are divided equally into 8 groups How many participants are there in each group ?
14. 1152 participants are divided equally into 9 camps. How many participants are there in a camp?
15. 14 064 mangosteens have been packed equally into 24 boxes. How many mangosteens are there in a box?
16 576 goats are distributed equally to 3 different farms P, Q and R. How many goats does each farm have?
Mathematics Module
Modul Selia Bantu PPSMI 48
ANSWER WEEK 2
2.1
1). 2982 2) 7892 3). 23 534 4) 90 383
5) 24 483 6) 21 993. 7) 12 954 8) 85 405 9) 21 008 10) 91 408 11) 25 656 12) 27 934 13) 35 746 14) 31 372 15) 61 885 16) 9954 17) 77 520 18) 51 008
2.2
1) 1708 2) 7416 3) 18 891 4) 84 925 5) 20 047 6) 9 937 7) 12 182 8) 66 841 9) 6 522 10) 5863 11) 74 130 12) 19 922 13) 64 905 14) 19 047 15) 49 737 16) 31 182 17) 53 561 18) 34 522
2.3 1. 16 415 11. 216 432 2. 56 432 12. 430 938 3. 46 938 13. 19 386 4. 72 486 14. 8 502 5. 17 595 15. 15 270 6. 30 540 16. 12 496 7. 6 816 17. 12 852 8. 25 704 18. 23 870 9. 40 920 10. 15 6415
2.4 1. 335 10. 3478 r 6 2. 957 11. 2207 3. 1306 12. 2972 r 4 4. 9739 13. 17 530 r 1 5. 696 14. 638 6. 34 15. 224 r 10 7. 177 16. 746 r 2 8. 3460 17. 6260 9. 213 18. 415 r 18
2.5 1)3949 9). 1 080 2)13 277 10.) 756 3)3 60711. 11) 324 4)3 790 12). 288 5)551 13). 44 6)2281 14). 128 7)4639 15). 586 8)13 808 16). 192
WEEK : 3
Mathematics Module
Modul Selia Bantu PPSMI 49
THEME : WHOLE NUMBERS TOPIC : MIXED OPERATIONS WITH NUMBERS UP TO SEVEN DIGITS TIME : 6 HOURS OBJECTIVES At the end of this week, pupils should be able to: i. compute questions involving mixed operations GENERAL INSTRUCTIONS
1. This section contains 4 parts. 2. Answer all the questions in this section.
TOPIC 3.1 MIXED OPERATIONS – ADDITIONS AND SUBSTRACTION INSTRUCTION Solve the following questions in the vertical form.
Mathematics Module
Modul Selia Bantu PPSMI 50
1. 2345 + 637 - 2740 = 2. 7654 + 238 - 6090 =
3. 87 654 + 2729 - 79 570 =
4. 765 + 23 718 - 8 654 =
5. 568 + 12 386 - 7450 =
6. 76 123 + 9282 - 45 876 =
Mathematics Module
Modul Selia Bantu PPSMI 51
7. 2 342 + 632 - 2740 = 8. 8 654 + 138 - 6220 =
9. 8 321 + 2721 - 24 57 =
10. 1 765 + 21 718 - 4 654 =
11. 2 568 + 11 386 - 750 =
12. 16 123 + 4282 - 5 876 =
Mathematics Module
Modul Selia Bantu PPSMI 52
13. 12 342 + 532 - 4 740 = 14. 18 654 + 138 - 5220 =
15. 6 321 + 2 721 - 4 570 =
16. 4 765 + 5 718 - 4 654 =
17. 2 364 + 5 386 - 750 =
18. 26 121 + 3 282 - 5 876 =
Mathematics Module
Modul Selia Bantu PPSMI 53
19. 2345 - 637 + 3876 = 20. 7654 - 238 + 976 =
21. 87 654 - 2729 + 23 508 =
22. 76 523 - 718 + 4 590 =
23. 56 812 - 386 + 234 =
24. 76 123 - 9282 + 78 =
Mathematics Module
Modul Selia Bantu PPSMI 54
25. 12 345 - 837 + 3876 = 26. 17 654 - 238 + 976 =
27. 17 453 - 2529 + 13 508 =
28. 56 524 - 715 + 4 596 =
29. 46 812 - 586 + 1 234 =
30. 65 123 - 8 282 + 178 =
Mathematics Module
Modul Selia Bantu PPSMI 55
31. 2348 - 537 + 3576 = 32. 8 654 - 338 + 876 =
33. 32 654 - 2724 + 2 324 =
34. 56 421 - 818 + 5 420 =
35. 42 612 - 486 + 234 =
36. 56 123 - 8 282 + 478 =
Mathematics Module
Modul Selia Bantu PPSMI 56
TOPIC 3.2 Mixed operation – Addition, Substraction and Multiplication. INSTRUCTION Solve the following questions in the vertical form
1. 765 + 345 x 7 = 2. 987 + 54 x 8 =
3. 845 + 74 x 9 =
4. 234 + 75 x 23 =
5. 777 + 68 x 12 =
6. 765 + 61 x 42 =
Mathematics Module
Modul Selia Bantu PPSMI 57
7. 764 + 145 x 7 = 8. 986 + 52 x 8 =
9. 848 + 72 x 5 =
10. 534 + 76 x 21 =
11. 778 + 62 x 11 =
12. 766 + 21 x 12 =
Mathematics Module
Modul Selia Bantu PPSMI 58
13. 665 + 145 x 4 = 14. 887 + 52 x 3 =
15. 844 + 72 x 6 =
16. 734 + 71 x 13 =
17. 874 + 63 x 12 =
18. 865 + 51 x 32 =
Mathematics Module
Modul Selia Bantu PPSMI 59
19. 5400 - 345 x 7 = 20. 9081 - 754 x 8 =
21. 8054 - 854 x 9 =
22. 5022 - 765 x 3 =
23. 5600 - 58 x 12 =
24. 8766 - 72 x 32 =
Mathematics Module
Modul Selia Bantu PPSMI 60
25. 5432 - 245 x 7 = 26. 8071 - 654 x 5 =
27. 6054 - 654 x 5 =
28. 6022 - 565 x 3 =
29. 5543 - 158 x 12 =
30. 9766 - 62 x 12 =
Mathematics Module
Modul Selia Bantu PPSMI 61
31. 7400 - 245 x 3 = 32. 8081 - 732 x 8 =
33. 8034 - 832 x 9 =
34. 5032 - 565 x 3 =
35. 5578 - 98 x 12 =
36. 5466 - 71 x 32 =
Mathematics Module
Modul Selia Bantu PPSMI 62
TOPIC 3.3 Mixed operation – Addition and Division. INSTRUCTIONS Solve the following questions in the vertical form
1. 765 + 2345 ÷ 7 = 2. 987 + 7656 ÷ 8 =
3. 945 + 87 651 ÷ 9 =
4. 2300 + 7656 ÷ 11 =
5. 2543 + 5664 ÷ 32 =
6. 763 + 76 120 ÷ 22 =
Mathematics Module
Modul Selia Bantu PPSMI 63
7. 766 + 2445 ÷ 5 = 8. 988 + 7650 ÷ 5 =
9. 948 + 57 554 ÷ 7 =
10. 2364 + 10 549 ÷ 11 =
11. 2548 + 8664 ÷ 12 =
12. 768 + 75 120 ÷ 20 =
Mathematics Module
Modul Selia Bantu PPSMI 64
13. 787 + 2359 ÷ 7 = 14. 5 987 + 7640 ÷ 8 =
15. 985 + 14 610 ÷ 6 =
16. 7300 + 7632 ÷ 12 =
17. 2743 + 5859 ÷ 21 =
18. 863 + 72 120 ÷ 12 =
Mathematics Module
Modul Selia Bantu PPSMI 65
TOPIC 3.4 Mixed operation – Substraction and Division. INSTRUCTION Solve the following questions in the vertical form
1. 5200 - 2345 ÷ 7 = 2. 8300 - 7656 ÷ 8 =
3. 960 - 765 ÷ 9 =
4. 9 411 - 7656 ÷ 11 =
5. 6530 - 5664 ÷ 12 =
6. 94 200 - 17 472 ÷ 12 =
Mathematics Module
Modul Selia Bantu PPSMI 66
7. 81 200 - 2345 ÷ 7 =
8. 21 300 - 4 656 ÷ 4 =
9. 4 350 - 765 ÷ 5 =
10. 13 411 - 7 434 ÷ 6 =
11. 16 530 - 2 652 ÷ 12 =
12. 84 200 - 26 103 ÷ 21
Mathematics Module
Modul Selia Bantu PPSMI 67
13. 21 200 - 1344 ÷ 7 = 14. 21 300 - 5 656 ÷ 2 =
15. 5 360 - 765 ÷ 5 =
16. 33 411 - 3648 ÷ 12 =
17. 26 530 - 5655 ÷ 13 =
18. 84 200 - 36 120 ÷ 10 =
Mathematics Module
Modul Selia Bantu PPSMI 68
TOPIC 3.5 Mixed operation – Problem Solving Questions. INSTRUCTION
Read and solve the following questions.
Questions Answers 1. There are 3560 male participants. The female participants are 389 more than the male participants. Calculate the total of participants in the competition ?
2. Amin has 3450 stamps. Ben has 750 stamps less than Amin. Calculate the total number of stamps both of them have.
3. The enrolment of SKP is 2 times the total of SKM. How many pupils are there in SKP ?
4. Faiz bought 3 packets of chocolates. There are 80 chocolates in each packet. He gives 34 chocolates to his brother. How many chocolates does Faiz have left.
SKM Boys : 345 pupils Girls : 360 pupils
Mathematics Module
Modul Selia Bantu PPSMI 69
Question Answer 5. The enrolment of boys in a school is 799. The number of girls are 80 pupils less than the boys. Calculate the total number of pupils in the school?
6. The diagram shows the number of animals in a farm . The number of buffaloes are 800 less than the total number of cows and goats. How many buffaloes are there ?
7. The diagram shows the number of stamps in Azi’s collection. Milah has 237 stamps less than Azi. How many stamps do the both of them have ?
8.The diagram shows the number of marbles Dali has. He gives 257 marbles to Yem and 89 marbles to Zam. How many marbles does he have left?
234 cows
7 634 goats
1387 stamps
1190 marbles
Mathematics Module
Modul Selia Bantu PPSMI 70
ANSWERS WEEK 3
3.1
1. 242 2. 1 802 3. 10 813 4. 15 829 5. 5 504 6. 39 529 7. 234 8. 2572 9. 8585 10. 18829 11. 13204 12. 14529 13. 8134 14. 13572 15. 4472 16. 5829 17. 7000 18. 23527 19. 5584 20. 8392 21. . 10 8433 22. . 80 395 23. . 56 660 24. . 66 919 25. . 15 384 26. . 18 392 27. . 28 432 28. . 60 405 29. 47 460 30. 57 019 31. 5387 32. 9192 33. 32 254 34. 61 023 35. 42 360 36. 48 319
3.2
1. 3180 19. 2985 2. 1419 20. 3049 3. 1511 21. 368 4. 1959 22. 2727 5. 1593 23. 4904 6. 3327 24. 6462 7. 1779 25. 3717 8. 1402 26. 4801 9. 1208 27. 2784 10. 2130 28. 4327 11. 1460 29. 3647 12. 1018 30. 9022 13. 1245 31. 6665 14. 1043 32. 2225 15. 1276 33. 546 16. 1657 34. 3337 17. 1630 35. 4402 18. 2497 36. 3194
3.3
1. 1100 2. 1944 3. 10684 4. 2996 5. 2720 6. 4223 7. 1255 8. 2518 9. 9170 10. 3323 11. 3270 12. 4524 13. 1124 14. 6942 15. 3420
16. 7936 . 17. 3022 18. 6873
3.4
1) 4865 2) 7342 3) 875 4) 8715 5) 6058 6) 92 744 7) 80 865 8) 20 136 9) 4197 10) 12 172 11) 16 309 12) 82 957 13) 21 008 14) 18 472 15) 5207 16) 33 107 17) 26 095 18) 80 588
3.5
1. 7509 2. 6150 3. 1410 4. 206 5. 1518 6. 7068 7. 2537 8. 844
Mathematics Module
Modul Selia Bantu PPSMI 72
Types of questions
1.5 Name and write proper fraction
1.6 Write an equivalent fraction for 32 .
2.3 Convert proper fraction to equivalent
fraction. Simplify 84 .
2.4 Convert improper fractions 35 to a
mixed number an vice verca
2.6 41 of 36 is
73 × 497 =
2.7 Dividing fraction with
fraction 63 ÷
13
2.5.1 Add proper fraction with proper fraction
21 +
31 =
2.5.2 Subtraction
32 -
41 =
1.1.4 Add/Sub mix number with proper fraction with the same denominator
2.1 State the fraction for the shaded region. 2.1 Write the fraction of the letter
A compared to the number of the letters in the phrase.
PLEASE WALK
Mathematics Module
Modul Selia Bantu PPSMI 73
WEEK : 4 THEME : FRACTIONS TOPIC : ADDITION AND SUBSTRACTION TIME : 5 HOURS OBJECTIVES At the end of this week, pupils should be able to: 1. name and convert fractions into i. proper fractions or improper fractions ii. equivalent fractions iii. simplest form 2. adding and substracting fractions of different denominators. GENERAL INSTRUCTIONS
1. This section contains 6 parts. 2. Answer all the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 74
TOPIC 4.1 Proper fractions Instruction
Write the following Proper Fractions in words :
No. Fractions Words
1 34
2 78
3 23
4 45
5 37
6 49
7 58
8 67
9 61
10 8
3
11 9
2
12 9
1
13
52
14
65
15
41
16
81
17
109
18
103
19
107
20
101
Mathematics Module
Modul Selia Bantu PPSMI 75
TOPIC 4.2 Proper fractions Instruction
Convert the following Proper Fraction ito its equivalent fraction : No. Proper Fractions Equivalent Fractions
1 34
2 78
3 23
4 45
5 37
6 49
7 58
8 67
9 61
10 8
3
11 9
2
12 9
1
13
52
14
65
15
43
16
81
17
109
18
103
19
107
20
101
Mathematics Module
Modul Selia Bantu PPSMI 76
TOPIC 4.3 Fractions ; Simplest Form Instruction
Convert the following fraction into its simplest form. No. Fractions Simplest Form
1 86
2 128
3 64
4 106
5 146
6 166
7 104
8 144
9 184
10 21
6
11 14
8
12 16
8
13
188
14
1210
15
1410
16
1610
17
1810
18
1612
19
4518
20
4214
Mathematics Module
Modul Selia Bantu PPSMI 77
TOPIC 4.4 Improper Fractions with Mixed Numbers Instruction
Convert the following Improper Fractions to Mixed Numbers : No. Improper Fractions Mixed Numbers
1 27
2 37
3 6
14
4 7
12
5 9
14
6 322
7 3
13
8 67
9 45
10 3
5
11 4
7
12 2
13
13
720
14
213
15
812
16
915
17
817
18
610
19
79
20
59
Mathematics Module
Modul Selia Bantu PPSMI 78
TOPIC 4.5 Improper Fractions and Mixed Numbers Instruction
Convert the following Mixed Numbers to Improper Fractions : No. Mixed Numbers Improper Fractions
1 121
2 231
3 461
4 271
5 591
6 532
7 131
8 365
9 741
10 1
32
11 6
43
12 9
21
13 1
72
14 4
51
15 7
81
16 2
95
17 5
87
18 7
61
19 1
74
20 4
54
Mathematics Module
Modul Selia Bantu PPSMI 79
TOPIC 4.6 Fractions : Addition and Substraction Instruction
Solve the following questions. Show the steps.
No. Question Working Steps Answers
1 78 +
21
2 61
+ 23
3 25 +
21
4 37 +
41
5 21
+ 89
6 58 +
41
7 67 +
41
8 61
+ 35
9
23 +
61
10 25 +
32
11 21
- 61
Mathematics Module
Modul Selia Bantu PPSMI 80
No. Question Working Steps
Answers
12 31
- 61
13
12 -
83
14
14 -
81
15 6
5 -
95
16 8
5 - 12
17
98
- 31
18 5
1 -
101
19 5
3 -
101
20 10
9 -
54
Mathematics Module
Modul Selia Bantu PPSMI 81
ANSWERS WEEK 4
4.1
1 three over four 2 seven over eight 3 two over three 4 four over five 5 three over seven 6 four over nine 7 five over eight 8 six over seven 9 one over six 10 three over eight 11 two over nine 12 one oner nine 13 two over five 14 five over six 15 one over four 16 one over eight 17 nine over ten 18 three over ten 19 seven over ten 20 one over ten
Note: Accept answers In these forms: Three Quarters, Seven eights…etc
4.2
1. 86
, 129
, 1612
2. 1614
, 2421
, 3228
3. 64
, 96
, 128
4. 108
, 1512
, 2016
5. 146
, 219
, 2012
6. 188
, 2712
, 3616
7. 1610
, 2415
, 3220
8. 1412
, 2118
, 2824
9. 122
, 183
, 244
10. 166
, 249
, 3212
11. 184
, 276
, 368
12. 182
, 273
, 364
13. 104
, 156
, 208
14. 1210
, 1815
, 2420
15. 86
, 129
, 1612
16. 162
, 243
, 324
17. 2018
, 3027
, 4036
18. 206
, 309
, 4012
19. 2014
, 3021
, 4028
20. 202
, 303
, 404
Note: Accept any equivalent answers.
4.3
1. 43 11.
74
2. 32 12.
21
3. 32 13.
94
4. 53 14.
65
5. 73 15.
75
6. 83 16.
85
7. 52 17.
95
8. 72 18.
43
9. 92 19.
52
10. 72 20.
31
Mathematics Module
Modul Selia Bantu PPSMI 82
4.4
1. 321 11. 1
34
2. 231 12. 6
21
3. 231 13. 2
76
4. 175 14. 6
21
5. 195 15. 1
21
6. 731 16. 1
32
7. 431 17. 2
81
8. 161 18. 1
32
9. 141 19. 1
72
10. 132 20. 1
54
4.5
1. 23 11.
427
2. 37 12.
219
3. 625 13.
79
4. 7
15 14. 521
5. 946 15.
857
6. 3
17 16. 923
7. 34 17.
847
8. 623 18.
643
9. 429 19.
711
10. 35 20.
524
4.6
1. 183 11.
31
2. 65 12.
61
3. 109 13.
81
4. 2819 14.
81
5. 1187 15.
185
6. 87 16.
81
7. 1283 17.
95
8. 3023 18.
101
9. 65 19.
21
10. 1151 20.
101
Mathematics Module
Modul Selia Bantu PPSMI 83
WEEK : 5 THEME : FRACTIONS TOPIC : FOUR OPERATIONS TIME : 6 HOURS OBJECTIVES At the end of this week, pupils should be able to: 1. perform the four operations involving fractions of different denominations 2. solve problems in daily situations. GENERAL INSTRUCTIONS
1. This section contains 5 parts. 2. Answer all the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 84
TOPIC 5.1 Fractions ; Addition and Substraction Instruction
Solve the following questions . No. Question Working Steps Answers
1 578 + 38
2 223 + 23
3 25 + 14
5
4 37 + 65
7
5 49 + 48
9
6 65
8 - 78
7
651
- 53
8
578 - 38
9
241
- 34
10
452
- 45
Mathematics Module
Modul Selia Bantu PPSMI 85
TOPIC 5.2 Addition and Substraction of Fractions with Different Denominators Instruction
Add /subtract mixed number with Proper Fraction(Different denominator): Solve the questions
No. Question Working Steps
Answer
1 578 +
21
2 223 +
41
3 31
+ 145
4 21
+ 657
5 41
+ 489
6 658 -
21
7
651
- 43
8
578 -
101
9
241
- 52
10
452
- 31
Mathematics Module
Modul Selia Bantu PPSMI 86
No. Question Working Steps
Answers
11 578 + 4
21
12 22
3 + 241
13 32
5 + 141
14 43
7 + 631
15 54
9 + 432
16 65
8 + 361
17 26
7 + 821
18 74
5 +2 43
19
3 13 + 152
20
314 + 2
76
21
3 13 – 152
Mathematics Module
Modul Selia Bantu PPSMI 87
No. Question Working Steps
Answers
22
31
4 – 231
23 22
5 – 141
24 2 16 – 1
31
25
437 – 2
32
26 43
8 – 171
27 52
9 – 243
28
221
– 141
29
2 16 – 151
30
437 – 2
32
Mathematics Module
Modul Selia Bantu PPSMI 88
TOPIC 5.3 Fractions Multiplication Instruction
Solve the following questions.
Example : 23 of 4812
= 23 × 4812
= 2 × 1604 = 3 208
1. 34 of 648 2. 58 of 4816
3. 35 of 3600
4. 16 of 3144
5. 27 of 2359
6. 29 of 4851
7. 78 of 1344 8. 25 of 1040
1 604
Mathematics Module
Modul Selia Bantu PPSMI 89
Example: 23 of 4.5 ℓ
Unit conversion 4.5 l = 4500 ml
23 of 4500 ml
= 23 × 4500 ml
= 2 × 1500 ml = 3000 ml
9. 34 x 6.7 km 10. 58 x 4.8 kg
11. 35 x 3.6 m
12. 16 x 2.16kg 13. 27 x 2.1 ℓ
14. 29 x 4.5 km
15. 78 x 2.4 kg 16. 25 x 1.04 ℓ
Mathematics Module
Modul Selia Bantu PPSMI 90
TOPIC 5.4 Fractions Division Instruction Solve the following questions.
21 ÷
41
=
41 ÷
52
=
32 ÷
72
=
71 ÷
51
=
52 ÷
51 =
52 ÷
71 =
73 ÷
41 =
91 ÷
52 =
65 ÷
31 =
61 ÷
51 =
1 6
2 7
3 8
4 9
5 10
Mathematics Module
Modul Selia Bantu PPSMI 91
11
43 ÷ 6 =
16
91 ÷ 9 =
12
51 ÷ 4 =
17
73 ÷ 8 =
13
43 ÷ 20 =
18
83 ÷ 4 =
14
65 ÷ 10 =
19
43 ÷ 12 =
15
51 ÷ 12 =
20
103 ÷ 6 =
Mathematics Module
Modul Selia Bantu PPSMI 92
TOPIC 5.5 Fractions Problem Solving involving Multiplication Instruction
Solve the following problems.
Example:
Yap has 50 marbles. 25 of them are yellow,
16 are black and the rest are blue. How many marbles are blue?
= 35 × 50
= 30 - 16 Blue marbles = 14
1. 54
of 30 boys wear spectacles.
How many of them wear spectacles?
2. 83
of 40 pupils in a classroom are boys.
How many boys are there in the classroom ?
3. 72
of 42 cars are Kancil.
Find the total number of Kancil cars?
4. 83
of 32 pupils go to school by bus.
How many pupils go to school by bus?
5. There were 32 candidates in an
examination. 83
of them failed.
How many of them failed?
Mathematics Module
Modul Selia Bantu PPSMI 93
6. There are 48 chairs in a hall. 83
of them
are plastic chairs. Find the total number of plastic chairs?
7. 54
of 30 boys wear spectacles.
How many of them are not wearing spectacles?
8. 72
of 42 cars are Kancil. The rest are
Iswara . How many Iswara cars are there?
9. There are 40 pupils in a class.
83
of them are girls.
Find the total number of boys in the class?
10. There are 45 chairs in a hall. 53
of them
are plastic chairs. The rest are wooden chairs. How many wooden chairs are there in the hall?
11. 83
of 32 pupils go to school by bus
while the others walk to school. How many of them walk to school?
ANSWERS WEEK 5
5.1
1. 641
2. 331
3. 251
4. 771
5. 531
6. 543
7. 553
8. 521
9. 121
10. 353
5.2
1. 683 11. 10
83
2. 21211 12. 4
1211
3. 2152 13. 4
2013
4. 7143 14. 10
2116
5. 5365 15. 10
91
6. 681 16. 9
2419
7. 5209 17. 11
145
8. 54031 18. 10
2011
9. 12017 19. 4
1511
10. 4151 20. 6
283
21 11514
22 111211
23 1203
24. 65
25. 12116
26. 35613
27. 23617
28. 1 41
29. 3029
30. 12116
Mathematics Module
Modul Selia Bantu PPSMI 95
5.3 1 486 2 3010 3 2160 4 524 5 674 6 1078 7 1176 8 416 9 5025 m 10 3000 g 11 216 cm 12 360 g 13 600 ml 14 l000 m 15 2100 g 16 416 ml
5.4
1 2
2 231
3 2
4 175
5 221
6. 85
7. 75
8. 254
9. 185
10. 65
11. 81
12. 201
13. 803
14. 121
15. 601
16. 811
17. 563
18. 323
19. 161
20. 201
5.5
1. 24 2. 15 3. 12 4. 12 5. 12 6. 18
7. 6 8. 30 9. 25 10. 18 11. 20
Mathematics Module
Modul Selia Bantu PPSMI 156
Mathematics Module
Modul Selia Bantu PPSMI 157
3.5 Devide decimals less than 10 3.5.1 0.21 ÷ 7 = 3.5.2 A piece of rope measuring
20.7 m has been cut into 6 parts of the same length. What is the length of each part?
3.4 Multiply decimals less than 10 with one digit
3.4.1 3.47 × 6 = 3.4.2 A packet of sugar weighs
1.25 kg. What is the weight
3.2.1 Add whole numbers of decimals with decimals up to 3 decimals places 4.27 + 12 =
3.2.2 What is the total of 38.8 and 7.27? 3.2.3 5.09 + 17.6 =
Types of questions
3.3 Subtract decimals from decimal
or whole number 3.3.1 73.1 − 8.04 = 3.3.2 What must be subtracted from 8.6 to make 3.47? 3.3.3 7.07 − 3 =
2.1.1 Convert / express fraction of tenths, hundredths, thousandths into decimals and vice – versa
2.1.2 Express 2.7 in fraction
Mathematics Module
Modul Selia Bantu PPSMI 158
WEEK : 6 THEME : DECIMALS TOPIC : BASIC OPERATIONS WITH DECIMALS TIME : 5 HOURS OBJECTIVES At the end of this week, pupils should be able to: 1. convert decimals to fractions and vice versa. 2. solve questions involving basic operations. GENERAL INSTRUCTIONS
1. This section contains 12 parts. 2. Answer all the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 159
TOPIC 6.1 Convert / Express Fractions of Tenths, Hundredths and Thousandths in Decimals or vice versa Instruction Convert the following decimals into fractions of tenths, hundredths and thousandths.
Fraction No
Decimals Tenth Hundredth Thousandth
1 0.2 2 0.04 3 1.6 4 3.081 5 8.14 6 0.008 7 2.09 8 4.432 9 3.25
Mathematics Module
Modul Selia Bantu PPSMI 160
10 3.006 11 5.701 12 8.001 13 1.02 14 0.05 15 3.917 16 0.132 17 3.03 18 4.019 19 8.808 20 0.003
Mathematics Module
Modul Selia Bantu PPSMI 161
TOPIC 6.2 Convert / Express Fractions of Tenths, Hundredths and Thousandths in Decimals or vice versa Instruction
Convert the following fractions of tenths, hundredths, thousandths into decimals.
No
Fraction Decimals
1 100
1
2
10001
3
103
4 100
3
5
10005
6 4
107
7 7
1007
8 9
10007
9 2
104
10
610011
11
71000
11
12
1012
13
2
1001
Mathematics Module
Modul Selia Bantu PPSMI 162
TOPIC 6.3 Convert / Express Fractions of Tenths, Hundredths and Thousandths in Decimals or vice versa Instruction
Convert the following fractions of tenths, hundredths, thousandths into decimals.
No. Questions 1 decimal place 2 decimal places
3 decimal places
Exp
1.23465 1.2 1.23 1.235
1 0.09876 2 12.2345 3 11.9876 4 9.075630 5 12.09542 6 0.087642 7 0.12647 8 0.16482
Mathematics Module
Modul Selia Bantu PPSMI 163
9 11.20856 10 21.0897 11
32.0987
12 45.6547
13 65.8769
14 12.5432
15 56.9076
Mathematics Module
Modul Selia Bantu PPSMI 164
TOPIC 6.4 Whole Numbers or Decimals with Decimals up to 3 decimal places. Instruction Answer the following questions.
1 23.945 + 6.37 =
2. 76.545 + 23.8 =
3 6.054 + 27 =
4. 76.4 + 8 =
5. 5.68 + 12.386 =
6. 76.123 + 8.2 =
7. 27.006 + 20 = 8. 6 + 1.23 =
Mathematics Module
Modul Selia Bantu PPSMI 165
9. 23 + 6.374 =
10. 76.76 + 23.824 =
11 21.293 + 3.15 =
12. 76 .46 + 8.2 =
13. 15.5 + 12.386 =
14. 23.98 + 8.209 =
15 9.3 + 71.893 =
16 25 + 7 .345 =
Mathematics Module
Modul Selia Bantu PPSMI 166
TOPIC 6.5 Substract Decimals from Decimals or Whole Numbers Instruction
Solve the following questions 1 3.945 – 0.37 =
2. 76.545 – 23.8 =
3 65.01 – 27.07 =
4. 23.41 – 8.546 =
5. 45.68 – 12.386 =
6. 76.01 – 8.2 =
7. 27.006 – 18.51 = 8. 60.016 – 10.23 =
Mathematics Module
Modul Selia Bantu PPSMI 167
9. 23 – 6.374 =
10. 76 – 23.824 =
11 21.2 – 3.158 =
12. 45 – 8.274 =
13. 15.5 – 12.386 =
14. 23.9 – 8.209 =
15 95 – 71.893 =
16 251 – 7 .345 =
Mathematics Module
Modul Selia Bantu PPSMI 168
TOPIC 6.6 Multiply Decimals less than 10 with One Digit Instruction
Multiply the following decimals 1. 3.405 × 3 =
2. 6.54 × 5
3 1.054 × 4 =
4. 6.503 × 7 =
5. 5.68 × 9 =
6. 6.023 × 6 =
7. 5.09 x 7
8. 6.543 x 5
Mathematics Module
Modul Selia Bantu PPSMI 169
9. 1.709 × 3 =
10. 7.935 × 7 =
11. 1.054 × 4 =
12. 6.503 × 7 =
13. 8.876 × 4 =
14. 6 x 5.023 =
15. 8 x 0.864 16. 7 x 5.543
Mathematics Module
Modul Selia Bantu PPSMI 170
TOPIC 6.7 Divide Decimals less than Ten Instruction
Divide the following decimals . 1. 3.015 ÷ 5 =
2. 6.51 ÷ 3 =
3 1.05 ÷ 5 =
4. 6.307 ÷ 7 =
5. 9.36 ÷ 8 =
6. 6.048 ÷ 9 =
7. 3.245 ÷ 5
8. 1.014 ÷ 6
Mathematics Module
Modul Selia Bantu PPSMI 171
9. 2.709 ÷ 3 =
10. 4.932 ÷ 9 =
11. 7.05 ÷ 5 =
12. 6.013 ÷ 7 =
13. 2.504 ÷ 8 =
14. 4.536 ÷ 6 =
15. 9.304 ÷ 4
16. 7 .218 ÷ 9
Mathematics Module
Modul Selia Bantu PPSMI 172
TOPIC 6.8 Mixed Operations involving Decimals Instruction Solve the following questions
Example 23.45 — 17.634 + 45 = Solve from the left 23 . 450 - 17 . 634 5 . 816 + 45 . 000 50 . 816
1. 76 — 34.76 + 23.876 =
2. ( 76.5 + 123.987 ) — 189.72 =
3. 36.67 — ( 17.89 + 18 ) =
4. ( 55 — 34.987 ) + 12.88 =
5. 44.9 + 57 — 99.023 =
6. 67 + 34.78 — 24.009 =
7. 74.9 — 33.276 + 41.624 =
Mathematics Module
Modul Selia Bantu PPSMI 173
TOPIC 6.9 Convert / Express Fractions In Decimals Instruction Solve the following questions
No. Questions Convert fraction to decimal
Answers
Exp 1 910 + 2 71
100 1 910 = 1.9 , 2 71
100 = 2.71
1.9 + 2.71 4.61
1 2 710 + 2 31
100
2 3 7131000 + 2 71
100
3 2 97100 + 3 .3
4 4.003 + 3 310
5 2 71000 + 0.077
6 5.1 — 4 17100
7
1056 — 2.045
8
7.9 — 100
81
9
1000
86 — 0.078
10 5.01 —
10001521
Mathematics Module
Modul Selia Bantu PPSMI 174
TOPIC 6.10 Basic Operations with Decimals Instruction
Answer the following questions. Example 23.945 + 6.37 = 23.945 + 6.370 30.315
1. 76.545 — 23.8 =
2 6.054 × 27 =
3. 76.4 ÷ 8 =
4. 5.68 + 12.386 =
5. 76.123 — 8.2 =
6. 27.006 × 20 =
7. 1.23 ÷ 6 =
Mathematics Module
Modul Selia Bantu PPSMI 175
TOPIC 6.11 BasicOperations with Decimals Instruction
Answer the questions. State the answers with to 1 decimal place.
Example 23 ― 6.374 = 23.000 ― 6.374 16.626 1 decimal place = 16.6
1. 76.76 + 23.824 =
2 21.293 × 5 =
3. 76 .46 ÷ 8 =
4. 15.5 ― 12.386 =
5. 23.98 + 8.209 =
6 71.893 × 9 =
7 20.755 ÷ 7 =
Mathematics Module
Modul Selia Bantu PPSMI 176
TOPIC 6.12 Basic Operations with Decimals Instruction
Answer the following questions. State the answers to the nearest tens.
Example 23.405 × 37 = 23 . 407 × 37 163 849 702 210 866 .059 Round off to the nearest tens = 870
1. 6.54 × 18 =
2 1.054 × 39 =
3. 6.503 × 47 =
4. 5.68 × 12 =
5. 6.023 × 31 =
Mathematics Module
Modul Selia Bantu PPSMI 177
ANSWERS WEEK 6 6.1
1. 102
2. 104
3. 1106
4. 31000
3
5. 810014
6. 1000
8
7. 2100
9
8. 41000432
9. 310025
10. 31000
6
11. 51000701
12. 81000
1
13. 1100
2
14. 100
5
15. 31000917
16. 1000132
17. 3100
3
18. 410019
19. 81000808
20. 1000
3
6.2 1. 0.01 2. 0.001 3. 0.3 4. 0.03 5. 0.005 6. 4.7 7. 7.07 8. 9.007 9. 2.4 10. 6.11 11. 7.011 12. 2.1 13. 2.01 6.3 1. 0.1, 0.10, 0.099 2. 12.2, 12.23, 12.235 3. 12.0, 11.99, 11.988 4. 9.1, 9.08, 9.076 5. 12.1, 12.01, 12.095 6. 0.1, 0.09, 0.088 7. 0.1, 0.13, 0.126 8. 0.2, 0.16, 0.165 9. 11.2, 11.21, 11.209 10. 21.1, 21.09, 21.090 11. 32.1,32.10, 32.099 12. 45.7, 45.65, 45.655 13. 65.9, 65.88, 65.877 14. 12.5, 12.54, 12.543 15. 56.9, 56.91, 56.908
6.4 1. 30.315 2. 100.345 3. 33.054 4. 84.4 5. 18.066 6. 84.323 7. 47.006 8. 7.23 9. 29.374 10. 100.584 11. 24.443 12. 84.66 13. 27.886 14. 32.189 15. 81.193 16. 32.345 5.5 1. 3.575 2. 52.745 3. 37.94 4. 14.864 5. 33.294 6. 67.81 7. 8.496 8. 49.786 9. 16.626 10. 52.176 11. 18.042 12. 36.726 13. 3.114 14. 15.691 15. 23.107 16. 243.655
Mathematics Module
Modul Selia Bantu PPSMI 178
6.6
1. 10.215 2. 32.7 3. 4.216 4. 45.521 5. 51.12 6. 36.138 7. 35.63 8. 32.715 9. 5.127 10. 55.545 11. 4.216 12. 45.521 13. 35.04 14. 30.138 15. 6.912 16. 38.801 6.7 1. 0.603 2. 2.17 3. 0.21 4. 0.901 5. 1.17 6. 0.672 7. 0.649 8. 0.169 9. 0.903 10. 0.548 11. 1.41 12. 0.859 13. 0.313 14. 0.756 15. 2.326 16. 0.802
6.8
1. 65.116 2. 10.767 3. 0.78 4. 32.893 5. 2.877 6. 77.771 7. 83.248
6.9
1. 5.01 2. 6.423 3. 6.27 4. 7.303 5. 2.084 6. 0.93 7. 4.455 8. 6.82 9. 5.93 10. 3.858
6.10
1. 50+2+0.7+0.04+0.005 2. 100+60+3+0.4+0.05+0.008 3. 9+0.5+0.05 4. 10+8+0.06+0.006 5. 60+7+0.9+0.02+0.003 6. 500+40+0.1+0.02 7. 0.2+0.005
6.11
1. 100.6 2. 106.5 3. 9.6 4. 3.1 5. 32.2 6. 647.0 7. 3.0
6.12
1. 120 2. 40 3. 310 4. 70 5. 190
Mathematics Module
Modul Selia Bantu PPSMI 179
Mathematics Module
Modul Selia Bantu PPSMI 180
4.2.1 RM5.75 + 95 sen
4.2.2 RM10 –
RM2.80
4.2.3 RM5.65 x
Types of questions
4.2.1 RM7 + RM4.35 - 50 sen = 4.2.2 RM48 - 75 sen + RM10.30 =
1 Ringgit
What is the total amount shown?
3.1.1 Diagram shows an amount of money.
Items Price per unit File RM1.45
Manila card 60 sen What is the total price for one file and 5 pieces of manila cards?
4.4 Table shows the price for two items.
4.3.2 The price of a story book is RM5.60. What is the price of 6 story books?
WEEK : 7 THEME : 4.0 MONEY SUGGESTED TIME : 8 hours OBJECTIVES :
Mathematics Module
Modul Selia Bantu PPSMI 181
WEEK : 7
THEME : MONEY
TOPIC : Money up to RM100 000
TIME : 8 HOURS
OBJECTIVES
At the end of this week, pupils should be able to:
i) compute basic operations involving RM and sen
ii) compute mixed operation involving RM and sen
iii) solve the problems in daily situation
GENERAL INSTRUCTIONS
1 This section contains 8 parts.
2 Answer all the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 182
Topic : 7.1 Write the amount of money in words or numerals Instruction Write the amount of money given in numerals.
No
In words In numeral
1
Two ringgit and thirty five sen 2 Eighty ringgit and seventy sen 3 Six hundreds ringgit and five sen 4 Five hundreds sixty ringgit and ten sen 5 Two thousand ringgit and forty sen
6 Eighty ringgit and ninety five sen 7 Seven hundred twenty ringgit and eigty sen 8 Three hundred forty ringgit and fifty five sen 9 Forty ringgit and eighty five sen
10 Nineteen ringgit and ninety sen
Mathematics Module
Modul Selia Bantu PPSMI 183
11 Eight hundred three ringgit and fifteen sen 12 Seventy ringgit and fifty sen 13 Sixty ringgit and sixty five sen 14 One thousand ringgit and seventy five sen 15 Twenty ringgit and twenty sen 16 Three hundred twenty ringgit and sixty sen
17
Four hundred two ringgit and ten sen
18 Five hundred forty ringgit and forty sen
Mathematics Module
Modul Selia Bantu PPSMI 184
Topic : 7.1 (b) Write the amount of money in words or numerals Instruction :
Write the amount given in words
No Amount In words
1
RM12 .05 2 RM40.60 3 RM3.95 4 RM612.10 5 RM3700.40 6 RM77. 05 7 RM97.60 8 RM176. 50 9 RM72. 55
10 RM220.20
Mathematics Module
Modul Selia Bantu PPSMI 185
11 RM303.30 12 RM400. 40 13 RM55. 75 14 RM205.80 15 RM107.70 16 RM770.85
17
RM1100.10
18
RM7600.20
19.
RM5300.50
20
RM706.30
Mathematics Module
Modul Selia Bantu PPSMI 186
Topic : 7.2 (a) Perform basic questions of addition Instruction:
Calculate the amount of money given .
1
2
3
4
5
6
What is the total amount of money shown above?
What is the total amount of money shown above?
What is the total amount of money shown above?
What is the total amount of money shown above?
What is the total amount of money shown above?
What is the total amount of money shown above?
Mathematics Module
Modul Selia Bantu PPSMI 187
Topic : 7.2(b) Perform basic operation of addition Instruction
Calculate the total amount of money given. 1. RM23.45 + RM363.75 =
2. RM576.55 + RM23.80 =
3 RM6.65 + RM27.35 =
4. RM76.55 + RM238 .70 =
5. RM25.60 + RM142.85 =
6. RM476.15 + RM8.25 =
7. RM76.85 + RM881.35 = 8. RM35.45 + RM541.85 =
Mathematics Module
Modul Selia Bantu PPSMI 188
Topic : 7.3 Round off the amount of money Instruction:
Round off the amount of money to the nearest ringgit
No Question Answer No
Question Answer
1 RM23. 55 11 RM253. 85 2 RM3.45 12 RM663.40 3 RM2.20 13 RM352.10 4 RM10.60 14 RM150.90 5 RM4.05 15 RM384.05 6 RM10.95 16 RM140.75 7 RM3.40 17 RM343.30 8 RM2.70 18 RM452.80 9 RM3.45 19 RM353.05
10 RM4.75 20 RM304.15
Mathematics Module
Modul Selia Bantu PPSMI 189
21 RM23. 65 31 RM243. 25 22 RM3.15 32 RM376.70 23 RM21.05 33 RM211.35 24 RM17.55 34 RM137.45 25 RM40.25 35 RM460.65 26 RM50.05 36 RM570.85 27 RM30.95 37 RM360.15 28 RM12.35 38 RM152.30 29 RM33.85 39 RM353.60 30 RM54.25 40 RM554.20
Mathematics Module
Modul Selia Bantu PPSMI 190
Topic : 7.4 Perform the basic operations of subtraction Instruction :
Find the difference for the following questions 1. RM23 ― RM6.35 =
2. RM80 ― RM23.80 =
3 RM365 ― RM121.20 =
4. RM700 ― RM523 .75 =
5. RM150.75 ― RM12.80 =
6. RM283.10 ― RM58.20 =
7. RM150.50 ― RM78.65 =
8. RM40.70 ― RM17.65 =
Mathematics Module
Modul Selia Bantu PPSMI 191
Topic : 7.5(a) Perform the mixed operations of addition and subtraction Instruction:
Solve the following questions. 1. RM4 + 70 sen ― 90 sen =
2. RM2.80 ― RM2 + 60 sen =
3. RM5.60 + 55 sen ― RM3.15 =
4. RM8 ― 65 sen + RM2.75 =
5. RM7 + 70 sen ― RM3.90=
6. RM2.80 ―RM1. 90 + 75 sen =
Mathematics Module
Modul Selia Bantu PPSMI 192
Topic : 7.5(b) Perform mixed operation of addition and subtraction Instruction :
Calculate the total amount of money given. 1. RM23.45 + RM63 + RM102.90 =
2. RM6.55 + RM27.20 + RM620 =
3 RM5.60 + RM312.35 + 95 sen =
4. RM345 + RM24.85 + RM7.95 =
5. RM 12 + RM 3.90 + 90 sen =
6. RM 120 - RM 70 - RM 15.90 =
7. RM 389 - RM 1.55 - RM 80 =
8. RM 98. 60 - RM 15 - 85 sen=
Mathematics Module
Modul Selia Bantu PPSMI 193
Topic : 7.6 (a) Perform basic operation of multiplication Instruction:
Find the product in RM. 1. RM23.45 × 7 =
2. RM6.50 × 8 =
3 RM 1.05 × 9 =
4. RM6.50 × 7 =
5. RM5.60 × 12 =
6. RM6.05 × 31 =
7. RM7.25 × 41 =
8. RM9.90 × 50 =
Mathematics Module
Modul Selia Bantu PPSMI 194
Topic : 7.6(b) Perform basic operation of multiplication Instruction
Find the answers for the following questions . 1. 45 sen × 7 =
2. 55 sen × 8 =
3 95 sen × 9 =
4. 65 sen × 6 =
5. 35 sen × 13 =
6. 40 sen × 41 =
7. 80 sen × 23 =
8. 75 sen × 74 =
Mathematics Module
Modul Selia Bantu PPSMI 195
Topic : 7.6(c) Perform basic operation of multiplication Instruction:
Find the answers for the following questions
No Question Answer
1
23 × RM24
2
12 × RM260
3
35 × RM80.80
4
12 × RM1234
5
47 × RM346.50
6
67 × RM674.10
7
13 × RM604.20
8
14 × RM2500
9
79 × RM265.50
10
89 ×RM113.40
Mathematics Module
Modul Selia Bantu PPSMI 196
No Question Answer
11
20% × RM60
12
50% × RM765.40
13
60% ×RM640
14
65% ×RM520
15
15% × RM840
16
80% ×RM888
17
40% × RM330
18 70% × RM1200
19
25% × RM45
20
90% × RM350
Mathematics Module
Modul Selia Bantu PPSMI 197
Topic : 7.7 Perform basic operation of division Instrucion:
Find the quotient 1. RM123.60 ÷ 8 =
2. RM270.55 ÷ 7 =
3 R,M1456.20 ÷ 9 =
4. RM2076.30 ÷ 6 =
5. RM2198.50 ÷ 5 =
6. RM1340.60 ÷ 4 =
Mathematics Module
Modul Selia Bantu PPSMI 198
7. RM235.20 ÷ 12 =
8. RM176.55 ÷ 33 =
9. RM3450.60 ÷ 18 =
10. RM3765.30 ÷ 42 =
Mathematics Module
Modul Selia Bantu PPSMI 199
Topic : 7.8(a) Problem Solving Instruction:
Solve the questions below. A) Azri bought some items as shown below. How much did he have to pay ? 1.
2.
3
4.
5.
6.
RM8 RM12.80 60sen
RM19.90 each 90 sen each
RM13.60 RM5 80 sen
RM180 per each RM6.60 each
55 sen 90sen RM6.80 RM65
90 sen each RM320 each
Mathematics Module
Modul Selia Bantu PPSMI 200
B. The tables show the items bought by Hisham. How much did he has to pay?
1. Item Price per
unit Quantity
Pen RM19.90 2 unit Pencil 70 sen 4 unit
2. Vegetables Price
per kg Quantity
Spinach RM2 4 kg cabbage RM6.50 2 kg
3 Beverage Price
per can Quantity
P RM2 7 cans Q 80 sen 5 cans
4. Pizza Price per
plate Quantity
X RM9.90 4 plates Y RM33.80 2 plates
5 Oil cooking
Price per bottle
Quantity
P RM17 2 bottles Q RM1.50 3 bottles
126 Fish Price
per kg Quantity
KK RM5 2 kg LL RM6.50 3 kg
Mathematics Module
Modul Selia Bantu PPSMI 201
C. Rohaya has RM20 . She bought some items as shown below. How much does she have left ? 1.
2.
3
4.
5.
6.
RM8 RM9.80 90sen
RM7.60 each
90 sen each
RM5.80 RM12 70 sen
90 sen each RM4.80 each
85 sen 80sen RM4.80 RM12
80 sen each RM2.40 each
Mathematics Module
Modul Selia Bantu PPSMI 202
D. Amirul has RM30. He bought some items as shown below. How much balance does he have left? 1. Items Price
per unit Quantity
Diskette RM1.80 5 unit book RM10 2 unit
2. Fruits Price
per kg Quantity
Apple RM8 12 kg
Grape RM9.50 2 kg
3 Beverage Price
per box Quantity
P RM4.90 1 box Q RM8 3 boxes
4. Vegetables Price
per kg Quantities
Carrot RM4.20 3 kg Tomato RM5 2 kg
5. Perfume Price per bottle Quantity Avon RM7 1 bottles Dun RM5.90 3 bottles
6. Types of fish
Price per kg
Quantity
Kembung RM5 1 kg Tongkol RM8.50 2 kg
Mathematics Module
Modul Selia Bantu PPSMI 203
Topic : 7.8(c) Problem Solving Insruction:
Solve the following problems.
Questions Answers
1 Fetty keeps 30 sen every day. How much did she keep for 12 days?
2 RM17.60 had been divided equally among Ani , Ana , Ali and Azi .
How much money did Azi get ?
3. Chocolate cake Banana cake Azmi buys 2 chocolate cakes and 3 banana cakes. How much should he pays ?
4. The diagram shows a price of a computer toy. Radi buys 2 computer toys. He pays with RM400 . How much is his balance?
RM12.50 RM6.00
RM155.00
Mathematics Module
Modul Selia Bantu PPSMI 204
5. Fruits Price per kilogram
Mangosteens Guava
RM6 RM5.50
Fadil buys 3 kg mangosteens and 1 kg guava. How much should he pay ?
6 The diagram shows the price of a toy aeroplane .
Mala has 4 pieces of RM10 note . He buys 2 toy aeroplane . How much is his balance ?
7. The diagram shows the items bought by two pupils. Calculate the difference between the amount bought by Hasni and Doly.
8. The diagram shows the price of a watermelon. Lina bought 3 kg of watermelon for her mother and 2 kg for herself. How much did she have to pay ?
RM18.90
60sen RM1.50 per unit per
RM1.40 RM3 per unit Doly
1 kg RM 1.80
Mathematics Module
Modul Selia Bantu PPSMI 205
9. The diagram shows the price of 3 books. How much is the price for 2 books ?
10. The diagram shows the price of 4 pencils.
How much is the price for 3 pencils ?
11. The diagram shows the price of 6 diskettes in a box. How much is the price for 4 diskettes?
12. 2 cans of Lychee cost RM2.60. How much is the price for 7 cans of Lychee ?
13 The price of 4 similar pens is
RM 9. How much is the price for 5 pens ?
14. The cost of 20 oranges is RM5 . How much is the cost of 8 oranges?
RM4.50 for 3 books
RM10 for 4 pencils
RM4.80 per box
Mathematics Module
Modul Selia Bantu PPSMI 206
Topic : 7.8 (C) Problem Solving Instruction:
Solve the follwing questions 1 The table shows a bill belonging to En Fandi .
Quantity
Items
Price per unit ( RM )
Amount ( RM )
4 Pen 2.80 11.40 5 Eraser 60 sen 3.60 2 File 5.50 11.00
Total 26.00
Table 1 He has RM 50. He buys several items as written on the bill . How much balance does he have ?
2 The tables show an incomplete bill belonging to En. Razhuan. Quantity
Items
Price per unit ( RM )
Amount ( RM )
7 kg Ciku 90 sen 4 kg Orange 5.00 2 kg Lemon 8.00
Total
Table 2 How much does he have to pay for all the items he bought?
3 The table shows an incomplete bill belonging to Eda . Quantity
Items
Price per unit ( RM )
Amount ( RM )
4 Shuttle 6.00 1 Racket 32.00 2 Sock 9.00
Total Table
Complete the bill and calculate the total she has to pay ?
4 The table shows an incomplete bill belonging to En. Firuz
Quantity
Items
Price per unit ( RM )
Amount ( RM )
3 kg Onion 3.00 2 kg Potato 5.00 3 units Bread 1. 80
Total 19.40 Table
Complete the bill given .
Mathematics Module
Modul Selia Bantu PPSMI 207
5 A trader buys 2000 eggs for RM 200. 10% of the eggs are broken.The remainder he sells for RM20. How much profit does he get?
6. Zul buys 70 bottles of drinks which cost RM 245. He sells all the drinks and gets RM 49 as profit. How much is the selling price for a bottle?
7 Sham buys 12 pens for RM 84.
He sells all the pens and gets a profit of RM 2. 50 each.
What is the selling price for a pen.
8 Aza buys 200 mangoes for
RM 140. She sells 50 of them for RM 1.20 each. He sells the remainder for 80 sen each. How much profit does she gets ?
Mathematics Module
Modul Selia Bantu PPSMI 208
ANSWER KEY WEEK 7
MONEY ( WEEK 7 ) 7.1 (a)
1. RM 2.35 2. RM 8.70 3. RM 600.05 4. RM 560.10 5. RM 2000.40 6. RM 80.95 7. RM 720.80 8. RM 340.55 9. RM 40.85 10. RM 19.90 11. RM 803.15 12. RM 70.50 13. RM 60.65 14. RM 1000.75 15. RM 20.20 16. RM 320.60 17. RM 402.10 18. RM 540.40
7.1(b)
1.Twelve ringgit and five sen 2. Forty ringgit and sixty sen 3 Three ringgit and ninety-five sen 4. Six hundred twelve ringgit and ten sen
5. Three thousand seven hundred ringgit and forty sen 6. Seventy-seven ringgit and five sen 7. Ninety-seven ringgit and sixty sen 8. One hundred seventy-six ringgit and fifty sen 9. Seventy-two ringgit and fifty-five sen 10. Two hundred twenty-two ringgit and twenty sen 11, Three hundred three ringgit and thirty sen 12. Four hundred ringgit and forty sen 13. Fifty-five ringgitand seventy-five sen 14. Two hundred five ringgit and eighty sen 15. One hundred seven ringgit and seventy sen 16. Seven hundred seventy ringgit and eighty-five sen 17. One thousand one hundred ringgit and ten sen 18. Seven thousand six hundred ringgit and fifty sen 19. Five thousand three hundred ringgit and fifty sen 20. Seven hundred six ringgit and thirty sen
7.2(a)
1. RM 2.15 2. RM 1.85 3. RM 2.65 4. RM 1.35 5. RM 1.20 6. RM 1.70
7.2.(b) 1. RM 387-20
2. RM 600.35 3. RM 34
4 RM 315.25 5 RM 168.45 6 RM 484.40 7 RM 958.20 8 RM 577.30
7.3 1 RM 24 2 RM 3 3 RM 2 4 RM 11 5 RM 4 6 RM 11 7 RM 3 8 RM 3 9 RM 3 10 RM 5 11 RM 254 12 RM 663 13 RM 352 14 RM 151 15 RM 384 16 RM 141 17 RM 343 18 RM 453 19 RM 353 20 RM 304 21 RM 24 22 RM 3 23 RM 21 24 RM 18
27 RM 31 28 RM 12 29 RM 34 30 RM 54 31 RM 243 32 RM 377 33 RM 211 34 RM 137 35 RM 461 36 RM 571 37 RM 360 38 RM 152 39 RM 354 40 RM 554
7.4
1. RM 16.65 2. RM 56.20 3. RM 243.80 4. RM 176.25 5. RM 137.95 6. RM 224.90 7. RM 71.85 8. RM 23.05
7.5 (a) 1. RM 3.80
2. RM 1.40 3. RM 3.00 4. RM 10.10 5. RM 3.80
6. RM 1.65
7.5 (b) 1 RM 189.35
2. RM 653.75 3 RM 318.90
4 RM 377.80 5 RM 16.80 6 RM 34.10 7 RM 307.45 8 RM 82.75
Mathematics Module
Modul Selia Bantu PPSMI 209
25 RM 40 26 RM 50 7.6 (a)
1. RM 164.15 2. RM 52 3. RM 9.45 4. RM 42.35 5. RM 67.20 6. RM 187.55 7. RM 297.25 8. RM 495
7.6 (b) 1 RM 3.15 2 RM 4.40 3 RM 8.55 4 RM 3.90 5 RM 4.55 6 RM 16.40 7 RM 18.40 8. RM55.50
7.6 © 1. RM 16 2. RM 130 3. RM 48.48 4. RM 617 5. RM 198 6. RM 577.80 7. RM 201.40 8. RM 625 9. RM 206.50 10. RM100.80 11. RM 12 12. RM382.70 13. RM 384 14. RM 338 15. RM 126 16. RM 710.40 17. RM 132 18. RM 840 19. RM 11.25 20. RM 315
7.7
1. RM 15.45 2. RM 38.65 3. RM 161.80 4. RM 346.05 5 RM 439.70 6 RM 335.15 7 RM 19.60 8 RM 5.35 9 RM 191.70 10 RM 89.65
7.8 (a) A
1 RM 21.40 2 RM 42.50 3 RM 19.40 4 RM 379.80 5 RM 73.25 6 RM 643.60
B 1 RM 42.60 2 RM 21 3 RM 18 4 RM 107.20 5 RM 38.50 6 RM 29.50 C 1. RM 1.30 2. RM 2.10 3. RM 1.50 4. RM 6.80 5. RM 1.55 6. RM 8 D 1 RM 1
2 RM 7 3 RM 1.10 4. RM 7.40 5. RM 5.30 6. RM 8.00
7.8 (b)
1. RM3.60 2. RM 4.40 3. RM 43.00 4. RM 90 5. RM 23.50 6. RM 2.20 7. RM 0.80 8. RM 1.00 9. RM 3.00 10. RM 7.50 11. RM 3.20 12. RM 18.20 13. RM 11.25 14. RM 2.00
7.8(c)
1. RM 24 2. RM6.30,
RM20.00, RM 16.00
RM 42.30 3. RM 32.00 RM47.00 4. RM 9.00,
RM 2.50, RM 5.40
5. RM 160.00 6. RM 4.20 7. RM 9.50 8. RM 40
Mathematics Module
Modul Selia Bantu PPSMI 210
Mathematics Module
Modul Selia Bantu PPSMI 211
5.2.3 The diagram consists of rectangles of equal size. Find the percentage of the shaded parts.
Types of questions
2.5.3 Convert 12
to a percentage
2.5.4 Convert 28
to a percentage
5.1.1 Convert 10028 to percentage.
i. Convert 11% to
a fraction of hundredths
i. 3% of 300 is ii. 3% of 6l , give
answer in ml iii. 25% of RM3
a. What is the percentage of 6 hours of a day?
Mathematics Module
Modul Selia Bantu PPSMI 212
WEEK : 8 THEME : PERCENTAGE TIME : 6 HOURS OBJECTIVES : At the end of this week, the pupils should be able to:
i. convert percentage to decimal or fraction and vice versa. ii. state the percentages from the diagrams.
GENERAL INSTRUCTIONS :
1. This section has 4 parts. 2. Answer ALL the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 213
Topic : 8.1 Percentage – Relationship between percentage and fractions. Instruction : Convert the following fractions of a hundredths to percentage.
No Fraction Answer No Fraction Answer
1
1001
8
10011
2
1002
9
10014
3
1005
10
10023
4
1003
11
10013
5
1007
12
10042
6
1009
13
10051
7
1006
14
10099
Mathematics Module
Modul Selia Bantu PPSMI 214
Topic : 8.2 Percentage – Relationship between percentage and fractions. Instruction :
Convert the following percentages to a fraction of hundredths.
No Percentage Answer No Percentage
Answer
1
3 %
8
15 %
2
12 %
9
31 %
3
8 %
10
26 %
4
19 %
11
38 %
5
45 %
12
76 %
6
63 %
13
18 %
7
74 %
14
88 %
Mathematics Module
Modul Selia Bantu PPSMI 215
Topic : 8.3 Percentage – Relationship between percentage and fractions Instruction :
Convert the following proper fractions to percentages.
No
Fraction
Answer
No
Fraction
Answer e.g 1. 1
2 1x502x50 = 50
100 = 50
%
e.g 2. 225 2x4
25x4 = 8100 = 8%
1 14
7 310
2 34
8 710
3 15
9 720
4 25
10 1320
5 35
11 825
6 45
12 2425
Mathematics Module
Modul Selia Bantu PPSMI 216
No Fraction Answer No Fraction
Answer
13 36
22 675
14 28
23 975
15 912
24 1275
16 315
25 1875
17 615
26 880
18 915
27 1680
19 1215
28 2480
20 330
29 5490
21 930
30 6390
Mathematics Module
Modul Selia Bantu PPSMI 217
Topic : 8.4 Percentage – Relationship between percentage and fractions. Instruction
State the percentages for the shaded regions.
1.
2.
3.
4.
5.
6.
7.
8.
Mathematics Module
Modul Selia Bantu PPSMI 218
9
10.
11.
12.
13.
14.
15.
16.
Mathematics Module
Modul Selia Bantu PPSMI 219
ANSWER WEEK 8
8.1 1. 1 % 2. 2% 3. 5% 4. 3% 5. 7% 6. 9% 7. 6% 8. 11% 9. 14% 10. 23% 11. 13% 12. 42% 13. 51% 14. 99%
8.2
1. 3
100 14.
88100
2. 12100
3. 8
100
4. 19100
5. 45
100
6. 63
100
7. 74
100
8. 15
100
9. 31
100
10. 26
100
11. 38
100
12. 76
100
13. 18100
8.3 1. 25% 2. 75% 3. 20% 4. 40% 5. 60% 6. 80% 7. 30% 8. 70% 9. 35% 10. 65% 11. 32% 12. 96% 13. 50% 14. 25% 15. 75% 16. 20% 17. 40% 18. 60% 19. 80% 20. 10% 21. 30% 22. 8% 23. 12% 24. 16% 25. 24% 26. 10% 27. 20% 28. 30% 29. 60%
30. 70%
8.4 1. 40% 2. 75% 3. 25% 4. 60% 5. 20% 6. 30% 7. 35% 8. 75% 9. 60% 10. 25% 11. 50% 12. 25% 13. 40% 14. 40%
15. 35% 16.50%
Mathematics Module
Modul Selia Bantu PPSMI 220
WEEK 9 THEME PERCENTAGE TIME : 2 HOURS OBJECTIVES By the end of this week, the pupils should be able to solve the problems in daily situations. GENERAL INSTRUCTIONS
1. This section has 4 parts. 2. Answer ALL the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 221
TOPIC 9.1 Fractions : Relationship between Percentage, Fractions and Decimals Instruction :
Find the answers for the following questions.
No Question Answer
e.g 3% of 600 is
3100 x 600 = 1800
100 = 18
1 4% of 3000 is
2 8 % of 700 is
3 9% of 2000 is
4 2% of 300 is
5 7% is 4000 is
6 10% of 300 is
Mathematics Module
Modul Selia Bantu PPSMI 222
No Question Answer
7 3% of 60 is
8 4% of 30 is
9 8 % of 70 is
10 9% of 2 is
11 2% of 3 is
12 7% of 4 is
13 15% of 60 is
Mathematics Module
Modul Selia Bantu PPSMI 223
TOPIC 9.2 Fractions : Relationship between Percentage, Fractions and Decimals Instruction :
Find the answers for the following questions. .
No Question Answer
e.g 3% of 6l
Convert the units 6l = 6000 ml 3
100 × 6000 = 18000100 = 180
1 4% of 3km
2 8 % of 7kg
3 9% of 2.4 km
4 2% of 0.3 kg
5 7% of RM45
6 10% of 3.2 m
Mathematics Module
Modul Selia Bantu PPSMI 224
No Question Answer
7 35% of 60g
8 45% of 30ml
9 85 % of 70 m
10 90% of 22 cm
11 25% of RM3
12 70% of RM55
13 45% of 50 g
Mathematics Module
Modul Selia Bantu PPSMI 225
TOPIC 9.3 Fractions : Relationship between Percentage, Fractions and Decimals Instruction :
Find the answers for the following questions. .
Question
Show your steps
e.g What is the percentage of 4 boys out of 40 pupils in a class? 40
4 =
10010
1010101
=××
= 10% or
%1040
%400%100404
==×
1. What is the percentage of 8 boys out of 40 pupils in a class?
2. What is the percentage of 12 out of 50 cows which are reared by Kannan?
3. What is the percentage of 4 mangosteen out of 20 fruits in a basket?
4. What is the percentage of 6 story books out of 30 books on a shelf?
5. What is the percentage of 21 out of 30 days?
Mathematics Module
Modul Selia Bantu PPSMI 226
6. What is the percentage of 6 pencils out of 15 pencils?
7. Ali has 10 red marbles, 5 white marbles and 15 green marbles. What is the percentage of the green marbles?
8. What is the percentage of 25 out of 125 marbles?
9. What is the percentage of 7 out of 28 books?
10. What is the percentage of 5 out of 25 teachers?
Mathematics Module
Modul Selia Bantu PPSMI 227
TOPIC 9.4 Fractions : Relationship between Percentage, Fractions and Decimals Instruction :
Solve the following problems.
Question
Steps
e.g. 30% of 60 pupils are wearing red hat. What is the number of pupils wearing red hat?
red hats = 30% × 60 = 18
1. 40% of 50 pupils got A in Mathematics, while the rest got B. What is the number of pupils who got A in Mathematics?
2. 65% of 300 birds are sparrows and the rest are Mynah. What is the number of sparrows?
3. 85% of 200 hens laid eggs. What is the number of hens which laid eggs?
4. 75% of 800 pupils come from Kampung P and the rest are from Kampung Q. What is the number of pupils from Kampung Q?
5. 30% of 1200 pupils wear spectacles. Calculate the number of pupils wearing spectacles?
Mathematics Module
Modul Selia Bantu PPSMI 228
Question Steps 6. 10% of 70 pupils are wearing red hats. The rest are wearing blue hats. What is the number of pupils wearing blue hats?
7. 25% of 500 pupils got A in Mathematics, while the rest got B. What is the number of pupils who got B in Mathematics?
8. 30% of 150 birds are sparrows and the rest are Mynahs. What is the number of Mynahs?
9. 55% of 2000 hens laid eggs. What is the number of hens which did not lay eggs yet?
10. 90% of 1000 pupils come from Kampung Ara and the rest are from Kampung Jati. What is the number of pupils from Kampung Jati?
11. 15% of 260 pupils wear spectacles. Calculate the number of pupils who are not wearing spectacles?
Mathematics Module
Modul Selia Bantu PPSMI 229
ANSWERS WEEK 9
9.1 1. 120 2. 56 3. 180 4. 6 5. 280 6. 30 7. 1.8 8. 1.2 9. 5.6 10. 0.18 11. 0.06 12. 0.28 13. 9
9.2 1) 210 m 2) 560 g 3) 216 m 4) 6 g 5) RM 3.15 6) 32 cm 7) 21 g 8) 13.5 ml 9) 59.5m 10) 19.8 cm 11) 75 sen 12) RM 38. 50 13) 22.5 g
9.3 1. 20% 2. 24% 3. 20% 4. 20% 5. 70% 6. 40% 7. 50% 8. 20% 9. 25% 10. 20%
9.4 1) 20 2) 195 3) 170 4) 200 5) 360 6) 63 7) 375 8) 90 9) 900 10) 900 11) 221
Mathematics Module
Modul Selia Bantu PPSMI 230
Mathematics Module
Modul Selia Bantu PPSMI 231
Mathematics Module
Modul Selia Bantu PPSMI 232
What is the time 25 minutes before 9:05 p.m.? Diagram shows a calendar for the month of October 2001. State the date, for the third Tuesday of the month.
Draw the hour and minute hands to show 7.05 in the morning.
12
6
3 9
1
4 8 7
10 11
5
2
October S M T W T F S 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
16 17 18 19 20 21 22 23 24 25 26 27 28 29
Convert 52 hour to minutes.
Encik Harun and his family went to Madinah for 23 days. How many weeks and days were they there?
Convert 7.00 p.m. to 24-hour system.
Mathematics Module
Modul Selia Bantu PPSMI 233
WEEK : 10 THEME : TIME TOPIC : DURATION TIME : 5 HOURS OBJECTIVES :
At the end of the week, the pupils will be able to :
a. convert 12-hour system to 24-hour system and vice-versa. ii. read and write the time from the clock face and find the time duration. iii. solve the problem in daily situations.
GENERAL INSTRUCTIONS :
1. This section contains 11 parts. 2. Answer ALL the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 234
Topic : 10.1 Convert 12-hour system to 24-hour system or vice versa Instruction : Convert the following time into the 24- hour system.
No Question
24 -hour system
No Question
24- hour system
1 1.30 a.m.
0130 hours
11 2.45 a.m 2 2.30 a.m.
12 4.39 a.m 3 4.45 p.m
13 5.30 a.m 4 3.55 p.m
14 6.34 a.m 5 6.10 p.m
15 7.12 a.m 6 7.40 p.m
16 2.15 a.m 7 8.15 p.m.
17 3.20 p.m 8 9.25 p.m
18 4.15 p.m 9 10.36 p.m.
19 9.50 p.m 10 11.59 p.m
20 10.26 p.m
Mathematics Module
Modul Selia Bantu PPSMI 235
Topic : 10.2 Convert 12-hour system to 24-hour system or vice versa Instruction : Convert the following 24- hour system to the 12- hour system.
No Question
12- hour system
No Question
12- hour system
1 00 25 hours 11 10 25 hours
2 01 55 hours 12 11 55 hours 3 02 20 hours 13 12 20 hours 4 03 10 hours 14 13 10 hours 5 04 25 hours 15 14 09 hours 6 04 17 hours 16 15 40 hours 7 06 35 hours 17 16 10 hours 8 07 15 hours 18 17 35 hours 9 08 20 hours 19 18 40 hours
10 09 30 hours 20 19 40 hours
Mathematics Module
Modul Selia Bantu PPSMI 236
Topic : 10.3 State the time in hours and minutes, a.m. and p.m.and 24-hour system. Instruction : State the time. 1 evening Answer:…………………….
2. at night Answer:…………………….
3. evening Answer:…………………….
4. at night Answer:…………………….
5
evening Answer:…………………….
6.
at night
Answer:…………………….
12
9
6
3
12
9
6
3
12
9
6
3
12
9
6
3
12
9
6
3
12
9
6
3
Mathematics Module
Modul Selia Bantu PPSMI 237
Topic : 10.4 State the time in hours and minutes, a.m. and p.m.and 24-hour system. Instruction : State the time in 12- hour system 1.
a.m Answer:…………………….
2.
p.m Answer:…………………….
3.
a.m
Answer:…………………….
4.
p.
Answer:…………………….
5.
Answer:…………………….
6.
p.m Answer:…………………….
12
6
9 3
12
6
9 3
12
6
9 3
12
6
9 3
12
6
9 3
12
6
9 3
Mathematics Module
Modul Selia Bantu PPSMI 238
Topic : 10.5 Draw the hour and the minute hands on a clock face. Instruction : Draw the hour hand and minute hand for the given time. 1.
05 35
Time :4.25
2.
13 25
Time :3.45
3.
Jam 16 40
Time :1.50
4.
Jam
Time :6.15
5.
Time :12.55
6.
Time :7.40
12
6
9 3
12
6
9 3
12
6
9 3
12
6
9 3
12
6
9 3
12
6
9 3
Mathematics Module
Modul Selia Bantu PPSMI 239
Topic : 10.6 Find duration of time and conversion of units. Instruction : Answer the following questions.
No
Question
Answer
1 1 hour and 20 minutes to minutes
2 2 hours and 15 minutes to minutes
3 4 hours and 50 minutes to minutes
4 2 years and 3 months to months
5 4 years and 1 month to months
6 5 years and 10 months to months
7 3 weeks and 4 days to days
8 8 weeks and 1 day to days
9 2 weeks and 6 days to days
10 1 day 10 hours to hours
11
4 days 15 hours to hours
Mathematics Module
Modul Selia Bantu PPSMI 240
No Question
Answer
12 3 days 20 hours to hours
13 8 days 8 hours to hours
14 10 days 2 hours to hours
15 130 minutes to hours and minutes
16 215 minutes to hours and minutes
17 45 days to weeks and days
18 34 days to weeks and days
19 51 days to weeks and days
20 50 months to years and months
Mathematics Module
Modul Selia Bantu PPSMI 241
Topic : 10.7 Find duration of time and conversion of units. Instruction : Answer the following questions.
No Question
Answer
1
21
hour
__________________ minutes
2
41
hour
__________________ minutes
3
43
hour
__________________ minutes
4
51
hour
__________________ minutes
5
611 hours
__________________ minutes
6
312 hours
__________________ minutes
7
212 hours
__________________ minutes
Mathematics Module
Modul Selia Bantu PPSMI 242
8
21
year
__________________ minutes
9
32
year
__________________ minutes
10
211 years
__________________ minutes
11
32
year
__________________ minutes
12
414 hours
__________________ minutes
13
215 hours
__________________ minutes
14
615 hours
__________________ minutes
Mathematics Module
Modul Selia Bantu PPSMI 243
Topic : 10.8 Read information from a schedule, a calendar and a clock face. Instruction : Study the given calendar carefully and answer the following questions. 1 1 What day is 18.12.2007?
_______________________
2 State the last day of this month. _______________________
3 State the last date of the following
month . _________________________
2
1. What day is 1.1.2008? ________________________
2. State the last day of this month.
_________________________
3. How many days are there from 5.1.08 to 20 1.2008? __________________________
3 1 State the day for 30.7.2008
______________________ 2 State the last date in this month
______________________.
4 1 State the number of days starting from 9.11.2008 until 23.11.2008
_________________________ 2 State the first day for the following month. __________________________
Mathematics Module
Modul Selia Bantu PPSMI 244
Topic : 10.9 Perform basic operation involving second, minutes, hours, days, weeks, months and years. Instructions : Solve the following questions. 1. 1 hour 30 minutes + 3 hours 40 minutes
2. 2 hours 40 minutes + 3 hours 55 minutes
3. 9 hours 20 minutes + 3 hours 50 minutes
4. 3 hours 30 minutes + 1 hour 40 minutes
5. 8 hours 10 minutes + 2 hours 55 minutes
6. 9 hours 05 minutes + 3 hours 20 minutes
Mathematics Module
Modul Selia Bantu PPSMI 245
7. 2 hours 40 minutes x 3
8. 3 hours 50 minutes x 4
9. 4 hours 35 minutes x 5
10. 11 hours 40 minutes ÷ 4 =
11. 10 hours 36 minutes ÷ 3 =
12. 20 hours 30 minutes ÷6 =
Mathematics Module
Modul Selia Bantu PPSMI 246
Topic : 10.10 Perform basic operation involving second, minutes, hours, days, weeks, months and years. Instruction : Solve the following questions. 1. 1 year 8 months + 3 years 11 months
2. 12 years 4 months + 13 years 9 months
3. 9 years 7 months + 3 years 8 months
4. 3 years 3 months - 1 years 4 months
5. 8 years 8 months - 2 years 11 months
6. 9 years 5 months - 3 years 8 months
Mathematics Module
Modul Selia Bantu PPSMI 247
7. 5 years 5 months x 3
8. 6 years 4 months x 4
9. 7 years 5 months x 5
10. 11 years 4 months ÷ 4 =
11. 10 years 3 months ÷ 3 =
12. 13 years ÷ 6 =
Mathematics Module
Modul Selia Bantu PPSMI 248
12
6
9 3
Topic : 10.11 Solve problems in daily situations Instructions : Answer the following questions.
1. The clock above shows the time Ali goes to school. He arrives 30 minutes later. At what time does he arrive in school?
2. Fazlia went to a shop at
3.35 p.m and arrived 14
hour
later. Draw the hour hand and minute hand that shows the time Fazlia arrived at the shop.
3. Ana’s cake was ready at 10.35 a.m.
It took her 34
hour to bake.
Draw the hour hand and minute hand that shows the time she started baking the cake.
evening
4. The clock above shows the time a tuition class ended.
The class was held for 1 hour 40 minutes. At what time did the tuition class began?
12
6
9 3
12
6
9 3
12
6
9 3
Mathematics Module
Modul Selia Bantu PPSMI 249
Start Arrival
5. The above clocks show the time Sharwani left home and the time she arrived in school. How long was Sharwani’s journey?
6. The clock above shows the arrival time of a bus a the bus
station. The bus journey takes 50 minutes. At what time did the bus depart?
7. Liyana drives to town at 5.40 p.m
and reaches at 6.20 p.m. How long does it take for Liyana to reach town?
8. Fahim starts washing his car at 10.15 a.m. He takes about 1 hour 50 minutes to do it. At what time doesl Fahim finish his job?
12
6
9 3
12
6
9 312
6
9 3
Mathematics Module
Modul Selia Bantu PPSMI 250
WEEK 10 TIME 10.1 1. 0130 hour 2. 0230 hour 3. 1645 hour 4. 1555 hour 5. 1810 hour 6. 1940 hour 7. 2015 hour 8. 2125 hour 9. 2236 hour 10. 2359 hour 11. 0245 hour 12. 0439 hour 13. 0530 hour 14. 0634 hour 15. 0712 hour 16. 0215 hour 17. 1520 hour 18. 1615 hour 19. 2150 hour 20. 2226 hour 10.2 1. 12.25 am 2. 1.55 am 3. 2.20 am 4. 3.10 am 5. 4.25 am 6. 4.17 am 7. 6.35 am 8. 7.15 am 9. 8.20 am 10. 9.30 am 11. 10.25 am 12. 11.55 am 13. 12.20 pm 14. 1.10 pm 15. 2.09 pm 16. 3.40 pm 17. 4.10 pm 18. 5.35 pm 19. 6.40 pm 20. 7.40 pm
10.3 1. 1625 hour 2. 2005 hour 3. 1315 hour 4. 2235 hour 5. 1750 hour 6. 2045 hour 10.4 1. 3.00 am 2. 6.10 pm 3. 9.40 am 4. 10.55 pm 5. 4.35 am 6. 1.20 pm 10.5 ….. 10.6 1. 80 minutes 2. 135 minutes 3. 290 minutes 4. 27 months 5. 49 months 6. 70 months 7. 25 days 8. 57 days 9. 20 days 10. 34 hours 11. 111 hours 12. 92 hours 13. 200 hours 14. 242 hours 15. 2hrs 10mins 16. 3hrs 35mins 17. 6wks 3days
Mathematics Module
Modul Selia Bantu PPSMI 251
10.7 1. 30 minutes 2. 15 minutes 3. 45 minutes 4. 12 minutes 5. 70 minutes 6. 140 minutes 7. 150 minutes 8. 6 months 9. 8 months 10. 18 months 11. 8 months 12. 255 minutes 13. 330 minutes 14. 310 minutes 10.8 1. Tuesday Monday 31.12.2007 2. Tuesday Thursday 16 days 3. Wednesday 31.7.2008 4. 15 days Saturday
10.9 1. 5hrs 10mins 2. 6hrs 35mins 3. 13hrs 10mins 4. 5hrs 10mins 5. 11hrs 5mins 6. 12hrs 25mins 7. 8hrs 0mins 8. 15hrs 20mins 9. 22hrs 55mins 10. 2hrs 55mins 11. 3hrs 32mins 12. 3hrs 25mins 10.10 1. 5yrs 7mths 2. 26yrs 1mths 3. 13yrs 3mths 4. 1yrs 11mths 5. 5yrs 9mths 6. 5yrs 9mths 7. 16yrs 3mths 8. 25 yrs 4mths 9. 37 yrs 1mths 10. 2 yrs 10mths 11. 3 yrs 5mths 12. 2 yrs 2mths 10.11 1. 7.20 am 2. 3.50 pm 3. 11.20 am 4. 3.20 pm 5. 35 minutes 6. 9.20 am 7. 40 minutes 8. 11.05 am
Mathematics Module
Modul Selia Bantu PPSMI 252
Mathematics Module
Modul Selia Bantu PPSMI 253
Diagram shows the weight of fish.
FISH HARUAN KELI SEPATMASS(kg) 5 2.9 0.35
What is the average weight, in kg, of a fish?
The average age of 5 pupils is 12 years old. What is the total age for the 5 pupils?
Types of questions
Mathematics Module
Modul Selia Bantu PPSMI 254
WEEK : 11 THEME : DATA HANDLING TOPIC : AVERAGE TIME : 3 HOURS OBJECTIVES : At the end of this week, pupils should be able to:
i. find the average ii. solve the problem in daily situations.
GENERAL INSTRUCTIONS :
1. This section contains 4 parts. 2. Answer ALL the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 255
Topic : 11.1 Average Instruction : Find the average for the numbers given
Example . 45 , 65 and 76 Calculate the total : 45 + 65 + 76 = 186
Divide by the number of quantity = 1863
= 62 Average = 62
1. 0.5 , 7.6 , 44.5 and 76.48
2. 76 , 243 and 701
3. 46.5 , 7 ,90.4 , 2.3 and 4.55
4. 57 , 265 , 87 and 3
5. 6.5 , 8.76 , 20.06 and 4.304
Mathematics Module
Modul Selia Bantu PPSMI 256
Example : 40 sen , RM1.60 dan 70 sen Calculate the total amount = 0.40 + 1.60 + 0.70 = 2.70 Divide = 2.70 ÷ 3 =RM0.90
6. Calculate the average ,in g, 1.4 kg , 500 g and 800 g
7. 60 sen , RM2 , RM1.70 and 90 sen
8. Calculate the average ,in mℓ, 660 mℓ, 1 ℓ , 320 mℓ and 1.3 ℓ
9. RM4, 50 sen , RM2.60 , 80 sen and RM12.50
10. Calculate the average ,in m, 4km ,2.3 km , 340 m , 560 m and 300 m
Mathematics Module
Modul Selia Bantu PPSMI 257
Topic : 11.2 Average Instruction : Find the remaining value with the average given. The average given for each question is 24. Calculate the value of x.
Example : 35 , 7 , x , x Total after the average = 24 × 4 =96 Total before the average =35 + 7 = 42 Difference = 96 42 - 54 ÷ 2 ( There are two x) x = 27
1. 20 , 12 , 3 , x
2. 33 , 20 , x , 5 , x
3. 45.6 , 10 , x , 15.4 , x
4. 23 , 8 , 13 , x
5. 2.3 , 27.7 , x , x , x
Mathematics Module
Modul Selia Bantu PPSMI 258
Topic : 11.3 Average Instruction :The average marks given for each pupil is 75 . Find X.
Example :
Pupils Marks P 96 Q 34 R X S X
Total after the average = 75 × 4 = 300 Total after the average = 96 + 34 = 130 Difference = 300 — 130 = 170 X = 170 ÷ 2 ( There are two X ) = 85
1
Pupils Marks P 96 Q 34 R 66 S X T X
.
2.
Pupils Marks P 96 Q 43 R 66 S 76 T X
3.
Teams Marks Scouts 46 Islamic Society 56 Girl Guides X School Youth Cadets X Police Cadets X
4.. Subjects Marks
Bahasa Melayu 86 English 74
Mathematics X Science X
5. Participants Marks
Tony 55 Pony X Lily X
Kanny X Mary X
Mathematics Module
Modul Selia Bantu PPSMI 259
Topic : 11.4 Average Instruction : Solve the following problems. Example: The average weight for 5 pupils is 52 kg. The weight of three of them is 45kg, 77 kg and 56 kg respectively. The weight of the third and the fourth pupil is the same. Find the weight for the fourth pupil, in kg.
Total after the average 52 × 5 = 260 Total before the average 45 + 77 + 56 = 178 Difference = 260 — 178 = 122 The weight of the fourth person =122 ÷ 2 = 61 kg
1. The table shows Azmi’s Mathematics marks Month January February March April Marks 94 56 76 82
Calculate the difference between the highest mark and the monthly average mark
2. The bar chart shows the number of pupils who passed Mathematics in four classes. 6A 6B 6C 6D The average number of pupils in each class is 38. Find the number of failures.
35
30
25 20
15
10
5
0
N
umbe
r of p
ases
Mathematics Module
Modul Selia Bantu PPSMI 260
3. The pictograph shows the amount of milk sold in four shops. P-shop Q-shop R-shop S-shop Represents 40 milk cartons
T-shop sold 35 milk cartons more than the average amount sold by each shop. What is the amount of milk cartons sold by T-shop?
4. The diagram shows the volume of water in four containers. What is the average volume of water, in ml, for each container?
5. The table shows Tina’s expenditure in five days. Day Mon Tue Wed Thu Fri Expenditure 70 sen 60 sen 40 sen RM1.80 RM1
She is given RM2 daily as a pocket money. What is her average savings per day?
134 l
12 l
760ml
410ml
Mathematics Module
Modul Selia Bantu PPSMI 261
6. The diagram shows the height of four trees. P 34 m 7.8 m 56.9 m __m
The average height is 27 m.What is the height, in m, for P?
7. The diagram shows the weight of four stones.
What is the average weight, in g, for each stone?
8. The diagram shows the time taken by four vehicles to reach X Vehicle Duration to X Bus 4 hours 30 mins Train 7 hours Car 3 hours 20 mins Motorcycle 5 hours 50 mins
What is the average time taken by each vehicle to reach X?
9. Rahim, Bala and Cheong collected used tins. The average number of tins collected by the 3 boys was 16. Rahim and Bala collected 10 and 16 tins, respectively. Calculate the number of tins collected by Cheong.
1.7 kg 860g 1 14 kg
1590g
Mathematics Module
Modul Selia Bantu PPSMI 262
10. The table shows the number of occupants in two hostels.
Hostel Number of Occupants
P 50 Q 40 R
The number of occupants in hostel R equals to the total number of occupants in hostels P and Q . Calculate the average number of occupants in each hostel.
11. The table shows the length of 4 ribbons bought by Pn. Kalsom.
Ribbon Length Blue 3.2 m
Green 2.25 m Yellow 0.5 m
Red 3.25 m Calculate the average length, in m , of the ribbons.
12. Sani is 12 years old. Akmal is 4 years 6 months old. How old is Rafi if the average age of three of them is 16 years 6 months?
13. The average mass of five items is 72 g. The average mass of the first three items is 40 g. The fourth item is 42 g. What is the mass , in g, of the fifth item?
Mathematics Module
Modul Selia Bantu PPSMI 263
14. The table shows the mass of 4 parcels
Parcel Mass M 5.5 kg N 4.8 kg O 7.2 kg P 12.5 kg Q
When another parcel Q is added, the average of the 5 parcels is 7.7 kg. Calculate the mass of parcel Q.
15. The table shows the age of three children .
Name Age Mulan 9 years 4 months Nilam
732
years
Opie 8 years 3 months Calculate the average age of each child.
16. The average weight of 4 people in a bus is 51.6 kg . When Hassan joins in, the average weight becomes 51.7 kg. What is the weight of Hassan ? .
17. The table shows the number of schools and the average number of pupils in two districts.
District Number of School
Average number of pupils
South 12 670 North 14 640
What is the difference in the number of pupils between the two districts?
Mathematics Module
Modul Selia Bantu PPSMI 264
18. The table shows the amount spent by Sazalee at the school canteen in 5 days. Day Monday Tuesday Wednesday Thursday Friday Amount RM1.60 RM2.20 RM1.60 RM1.40 RM1.70
Calculate the average amount spent in the week.
19. Roslan went on a 9 days journey. The average distance covered in a day is 25.5 km. Calculate the total distance travelled by Roslan.
20. The table shows the number of pupils in three schools.
School A B C Number of pupils 530 680
The average number of pupils is 720. Calculate the number of pupils in school C .
Mathematics Module
Modul Selia Bantu PPSMI 265
AVERAGE
11.1 1. 32.27 2. 340. 3. 30.15 4. 103 5. 9.906 6. 900 7. RM 1.30 8. 820 mℓ 9. RM 5.10
. 10. 1500 m 11.2 1. 61 2. 31.31 3. 24.5 4. 52 5. 30 11.3 1. 89.5 2. 94 3. 91 4. 70 5. 80
11.4
1. 17 2. 32 3. 245 4. 855 5. RM 1.10 6. 9.3 m 7. 1350 g 8. 5 hours 10minute 9. 22 tins 10. 10. 60 11. 11. 2.3 12. 12. 33 years old 13. 13. 198 g 14. 14. 8.5 15. 15. 8 years 5 months 16. 16. 52.1 kg 17. 17. 920 18. 18. RM6.70 19. 19. 229.5
20. 950
Mathematics Module
Modul Selia Bantu PPSMI 267
A rope is 18.4 m long. It is divided into 4 equal parts. What is the length, in m, for each part? The price of a 7 m cloth is RM19.20. Calculate the price for 8 m of the same cloth.
Types of questions
Convert 9.4 km to m. State 56 cm in m.
Calculate 14 cm × 5. ( Give the answer in m.) 860 m + 3.2 km = ________ km
Diagram shows three towns, A, B and C. What is the difference between the distance of AB and BC?
A ·
·
·
B
C
Mathematics Module
Modul Selia Bantu PPSMI 268
WEEK : 12 THEME : LENGTH TOPIC : COMPUTATION OF LENGTH TIME : 3 HOURS OBJECTIVES : At the end of this week, pupils should be able to ;
I. convert km to m and vice versa. II. compute basic operations.
III. read the scale given. IV. solve the problems in daily situations.
GENERAL INSTRUCTIONS:
1. This section contains 7 parts. 2. Answer ALL the questions.
Mathematics Module
Modul Selia Bantu PPSMI 269
Topic : 12.1 Computation of Lengths Instruction : Write the following measurement in the unit given .
1 0 2 3 4 5 cm
wan design 6 7
7
1 0 2 3 4 5 cm
wan design 6
10 2 3 4 5cm
wan design 6 7
1.
_________mm
1 0 2 3 4 5 cm
wan design 6
10 2 3 4 5 7cm
wan design 6
2.
3.
4.
5.
_________mm
_________cm
_________cm
_________mm
Mathematics Module
Modul Selia Bantu PPSMI 270
Topic : 12.2 Computation of Length Instruction : Convert km to m and vice versa No Question ( km ) m No Question ( m ) km
1 0.06 20 50
2 2.75 21 80
3 3. 08 22 55
4 0. 008 23 60
5 2.1 24 700
6 4.44 25 960
7 5. 025 26 820
8 4. 575 27 280
9 6. 25 28 390
10 21
29 2095
11 41
30 1095
12 43
31 4005
13 51
32 4010
14 52
33 8015
15 53
34 4020
16 54
35 6025
17 101
36 4030
18 103
37 10040
Mathematics Module
Modul Selia Bantu PPSMI 271
Topic : 12.3 Computation of Lengths Instruction : Convert the following compound units ( km and m ) to km No Question km
1 1 km 10 m
2 1 km 15 m
3 1 km 20 m
4 1 km 25 m
5 1 km 35 m
6 2 km 40 m
7 2 km 45 m
8 2 km 50 m
9 2 km 55 m
10 2 km 60 m
11 2 km 70 m
12 3 km 75 m
13 3 km 80 m
14 3 km 85 m
15 4 km 90 m
16 4 km 95 m
17 5 km 5 m
18 5 km 10 m
19 5 km 15 m
20 6 km 20 m
Mathematics Module
Modul Selia Bantu PPSMI 272
Topic : 12.4 Computation of Lengths Instruction : Convert km to m No Question m
1 21
km
2 41
km
3 43
km
4 51
km
5 52
km
6 53
km
7 54
km
8 101
km
9 103
km
10 107
km
11 109
km
12 141
km
13 121
km
14 143
km
15 1 km
16 252
km
17 254
km
18 3 101
km
19 3 107
km
20 3 109
km
Mathematics Module
Modul Selia Bantu PPSMI 273
Topic : 12.5 Computation of Lengths – Basic Operation Instruction: Solve the following questions. Give the answers in m. 1. 1.2 km + 800 m +1600 m =
2. 112 km + 780 m + 156 m =
3. 40% × 2.3 km =
4 27 × 0.28 km
5 2 14 km — 880 m =
6. 35 × 5.6 km =
7. 3.5 l km + 2920 m =
8. 30% × 1.55 km =
Mathematics Module
Modul Selia Bantu PPSMI 274
Topic : 12.6 Computation of Lengths - Mixed Operations (+ and - ) Instruction : Solve the questions and give the answers in km. 1. 1.2 km + 800 m — 1600 m =
2. 1400 m — 0.8 km + 750 m =
3. 3600 m + 800 m — 2.9 km =
4. 4.25 km — 2700 m + 800 m =
5. 3.5 km + 2500 m — 4.75 km =
6. 650 m — 480 m + 1.75 km =
7. 4.6 km — 2700 m + 0.9 k m =
8. 2.65 km — 0.895 km + 655 m =
Mathematics Module
Modul Selia Bantu PPSMI 275
Topic : 12.7 Computation of Lengths - Problem solving Instruction : Solve the following questions . 1.The diagram shows the length of three ropes. 1.3 km 890 m 340 m
Find the total length of ropes, in m.
2. The diagram shows the distance from town P to town Q.
Town T is located 13 of the distance
from P to Q. Calculate the distance, in km, from town T to town Q.
3. The diagram shows a signboard where Jais stopped his car.
Jais’s house is located 12.5 km before Tg Malim. What is the distance from Jais’ house to Slim River?
4. The table shows the height of four pupils. Pupils Height Parid 1.5 m Quincy 160 cm Rais 12 cm more than Quincy Salmiah 4 cm less than Parid
Find the average height, in cm, for each pupil.
P Q 12.6 km
Tg Malim 34 km Slim River 500m
Mathematics Module
Modul Selia Bantu PPSMI 276
LENGTH
12.1
1 55 mm 2 1.5 cm 3 50 mm 4 1.5 cm 5 40 mm
12.2
1. 60 2. 2750 3. 3080 4. 8 5. 2100 6. 4440 7. 5025 8. 4575 9. 6250 10. 500 11. 250 12. 750 13. 200 14. 400 15. 600 16. 800 17. 100 18. 300 19. 0.05 20. 0.08 21. 0.055 22. 0.06 23. 0.7 24. 0.96 25. 0.82 26. 0.28 27. 0.39 28. 2.095 29. 1.095 30. 4.005 31. 4.010 32. 8.015 33. 4.02 34. 6.025 35. 4.03 36. 10.04 37. 15.05
12.3
1 1010 2 1015 3 1020 4 1025 5 1035 6 2040 7 2045 8 2050 9 2055 10 2060 11 2070 12 3075 13 3080 14 3085 15 4090 16 4095 17 5005 18 5010 19 5015 20 6020 12.4 1 500 2 250 3 750 4 200 5 400 6 600 7 800 8 100 9 300 10 700 11 900 12 1250 13 1500 14 1750 15 1000 16 2400 17 2800 18 3100 19 3700 20 3900
12.5 1. 3600 2 2436 3 920 4 80 5 1370 6 3360 7 6430 8 465 12.6 1. 0.4 km
2. 1.3 km 3. 1.5 km 4. 2.35 km 5. 12.5 km 6. 1.92 km 7. 2.8 km 8. 2.41km
12.7
1. 2530 m 2. 8.4 km 3. 22 km 4. 157 cm
Mathematics Module
Modul Selia Bantu PPSMI 277
Mathematics Module
Modul Selia Bantu PPSMI 278
5.67 kg – 3.9 kg =
State the answer in gram. 5 × 11.2 kg = _____ gram
The weight of a watermelon is 3.25 kg. What is the mass of 7 watermelons of the same weight?
The weight of a jackfruit on a weighing scale is 750 g. If a mango is add on the weighing scale the weight becomes 1 kg 100 g.
What is the weight of the mango?
Types of questions
Convert 3 kg 800 g into g. Convert 9 085 g to kg and gram. Express 3.5 kg in gram. What is the weight of the bananas?
Mathematics Module
Modul Selia Bantu PPSMI 279
WEEK : 13 THEME : MASS TOPIC : COMPUTATION OF MASS TIME : 3 HOURS OBJECTIVES : At the end of the week, pupils should be able to :
a. read the scales in kg and g ii. convert kg to g and vice versa iii. compute basic operation involving kg and g iv. solve the problems in daily situations
GENERAL INSTRUCTIONS :
1. This section has 8 parts. 2. Answer ALL the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 280
Topic : 13.1 Read the scales in kg and g Instruction : Read the scales in kilograms and grams, based on the diagrams given. 1
2
3
4
4
0
kg 1
2 3
4
0
kg 1
2 3
0
1
2 3
4 kg
0
1
2 3
4 kg
Mathematics Module
Modul Selia Bantu PPSMI 281
5
6
7
8
0
1
2 3
4 kg
0
1
2 3
4 kg
4
0
kg 1
2 3
4
0
kg 1
2 3
Mathematics Module
Modul Selia Bantu PPSMI 282
Topic : 13.2 Convert kg to g and vice versa. Instruction : Complete the exercise.
No Question
g
No Question G
1 0.1 kg
11 3.75 kg 2 1.15 kg
12 0.8 kg 3 1.2 kg
13 3.85 kg 4 1.25 kg
14 0.9 kg 5 1.35 kg
15 4.95 kg 6 2.45 kg
16 5.5 kg 7 0.5 kg
17 5.1 kg 8 2.55 kg
18 5.15 kg 9 2.6 kg
19 6.2 kg 10 2.7 kg
20 8.07 kg
Mathematics Module
Modul Selia Bantu PPSMI 283
No Question
kg
No Question kg
21 50 g
31 1 090 g 22 80 g
32 4 080 g 23 55 g
33 4 010 g 24 60 g
34 5 010 g 25 700 g
35 6 020 g 26 960 g
36 7 020 g 27 820 g
37 8 030 g 28 1 280 g
38 10 040 g 29 1 390 g
39 15 050 g 30 2 090 g
40 20 000 g
Mathematics Module
Modul Selia Bantu PPSMI 284
Topic : 13.3 Convert kg to g and vice versa Instruction : Answer the questions below.
No Question
g
No Question G
1 1 kg 10 g
11 2 kg 70 g 2 1 kg 15 g
12 3 kg 75 g 3 1 kg 20 g
13 3 kg 80 g 4 1 kg 25 g
14 3 kg 85 g 5 1 kg 35 g
15 4 kg 90 g 6 2 kg 40 g
16 4 kg 95 g 7 2 kg 45 g
17 5 kg 5g 8 2 kg 50 g
18 5 kg 10 g 9 2 kg 55 g
19 5 kg 15 g 10 2 kg 60 g
20 6 kg 20 g
Mathematics Module
Modul Selia Bantu PPSMI 285
Topic : 13.4 Convert kg to g and vice versa. Instruction : Complete the exercise.
No Question
g
No Question g
1 12
kg
11 434
kg 2
14
kg
12 414
kg 3
34
kg
13 512
kg 4 2
12
kg
14 534
kg 5 2
34
kg
15 514
kg 6 2
14
kg
16 612
kg 7 3
12
kg
17 614
kg 8 3
14
kg
18 634
kg 9 3
34
kg
19 712
kg 10 4
12
kg
20 714
kg
Mathematics Module
Modul Selia Bantu PPSMI 286
Topic : 13.4 Convert kg to g and vice versa. Instruction : Read the scales and convert the answers into grams. 1
2
3
4
5
6
5
8
1 0
kg
2
3
4 6
7
9
0 1
2 3
4 kg 1
2 3
4 kg
0 0 1
2 3
4 kg 1
2 3
4 kg
0
5
8
1 0
kg
2
3
4 6
7
9
5
8
1 0
kg
2
3
4 6
7
9
0 1
2 3
4 kg 1
2 3
4 kg
0
Mathematics Module
Modul Selia Bantu PPSMI 287
Topic : 13.6 Convert kg to g and vice versa Instruction : Read the scales and convert the answers into kilograms. 1
2
3
4
5
6
500
750 250
0
g
500
750 250
0
g
500
750 250
0
g
500
750 250
0
g
500
750 250
0
g
500
750 250
0
g
Mathematics Module
Modul Selia Bantu PPSMI 288
Topic : 13.7 Compute basic operation involving kg and g. Instruction : Compute the questions below and state the answers in gram. 1 3.2 kg + 750g =
2 2.09 kg + 560 g
3 350 g + 1.76 kg =
4 3.62 kg - 700 g =
5 1.8 kg - 990 g =
6 2.24 kg - 870 g =
Mathematics Module
Modul Selia Bantu PPSMI 289
7 2.34 kg x 6 =
8 0.56 kg x 8 =
9 1.08 kg x 16 =
13 0.72 kg ÷ 8 =
11 3.42 kg ÷ 9 =
12 2.76 kg ÷ 12 =
Mathematics Module
Modul Selia Bantu PPSMI 290
Topic : 13.8 Solve problems in daily situations Instruction : Solve the following questions.
1 Find the total mass, in kg, of the boxes?
2 The mass of 7 chairs is 1.4 kg What is the mass, in g, of 6 chairs?
3 What is the difference, in g, between the two cakes?
4 A 2.4 kg cake is cut into 8 equal parts. What is the weight, in g, of each part?
5 The diagram above shows a cake. Fatin eats 550 g of the cake. What is the balance, in g, of the cake ?
6 Aiman buys 1.4 kg of prawns. Farah buys 280 g of prawns. How much prawns, in g, did they buy altogether?
1.2 kg 870 g
1.6 kg 750 g
1.3 kg
Mathematics Module
Modul Selia Bantu PPSMI 291
7 The weighing scale shows the weight of a few oranges. Calculate the weight in grams before the oranges were taken out.
8 The wood on the weighing scale is cut into 4 equal parts. What is the weight, in g, of each part?
9 The weight of a box is 170 g. Calculate the weight, in kg, of the ball.
10 The scale above shows the weight of a cake and a biscuit. After removing the biscuit, the scale reads 2100g. Calculate the weight of the biscuit in kg.
5
8
1 0
kg
2
3
4 6
7
9 0 1
2 3
4 kg 1
2 3
4 kg
0
0 1
2 3
4 kg
500
750 250
0
g
Mathematics Module
Modul Selia Bantu PPSMI 292
13.1 1. 2 kg 750 g 2. 3 kg 250 g 3. 2 kg 400g 4. 4 kg 400 g 5. 1 kg 600 g 6. 2 kg 200 g 7. 750 g 8. 3 kg 250 g 13.2 1. 100g 2. 1150g 3. 1200g 4. 1250g 5. 1350g 6. 2450g 7. 500g 8. 2550g 9. 2600g 10. 2700g 11. 3750g 12. 800g 13. 3850g 14. 900g 15. 4950g 16. 5500g 17. 5100g 18. 5150g 19. 6200g 20. 8070g 21. 0.05kg 22. 0.08 kg 23. 0.055 kg 24. 0.06 kg 25. 0.7 kg 26. 0.96 kg 27. 0.82 kg 28. 1.28 kg 29. 1.39 kg 30. 2.09 kg 31. 1.09 kg 32. 4.08 kg 33. 4.01 kg 34. 5.01 kg 35. 6.02 kg 36. 7.02 kg 37. 8.03 kg 38. 10.04 kg 39. 15.05 kg 40. 20 kg
13.3 1. 1010g 2. 1015g 3. 1020g 4. 1025g 5. 1035g 6. 2040g 7. 2045g 8. 2050g 9. 2055g 10. 2060g 11. 2070g 12. 3075g 13. 3080g 14. 3085g 15. 4090g 16. 4095g 17. 5005g 18. 5010g 19. 5015g 20. 6020g 13.4 1. 500g 2. 250g 3. 750g 4. 2500g 5. 2750g 6. 2250g 7. 3500g 8. 3250g 9. 3750g 10. 4500g 11. 4750g 12. 4250g 13. 5500g 14. 5750g 15. 5250g 16. 6500g 17. 6250g 18. 6750g 19. 7500g 20. 7250g
13.5 1. 1500 g 2. 2500 g 3. 3500 g 4. 1300 g 5. 2900 g 6. 3300 g 13.6 1. 0.15 kg 2. 0.3 kg 3. 0.6 kg 4. 0.7 kg 5. 0.85 kg 6. 0.90 kg 13.7 1. 3950 g 2. 2650 g 3. 2110 g 4. 2920 g 5. 810 g 6. 1370 g 7. 14040 g 8. 4480 g 9. 17280 g 10. 90 g 11. 380 g 12. 230 g 13.8 1. 2.07 kg 2. 1200 g 3. 850 g 4. 300 g 5. 750 g 6. 1680 g 7. 2300 g 8. 325 g 9. 280 g 10. 0.3 kg
Mathematics Module
Modul Selia Bantu PPSMI 293
Mathematics Module
Modul Selia Bantu PPSMI 294
State 2.05 l in ml. Convert 350 ml to liter.
3.45 l + 275 ml = 4 l 90 ml - 2.15 l =
9 × 125 ml = (Give the answer in l.)
2.48 l ÷ 5 = _____ ml
The volume of juice in a container is 4.5 l. Ali drank half of it. How much volume, in ml, of juice is left?
1.5 l 245 ml
Diagram shows two beakers. What is the total volume of water in l?
Types of questions
Mathematics Module
Modul Selia Bantu PPSMI 295
WEEK : 14 THEME : VOLUME TOPIC : VOLUME OF LIQUID TIME : 3 HOURS OBJECTIVES : At the end of this week, pupils should be able to :
i. convert the units ii. perform the basic operations iii. read the scale iv. solve the problems in daily situations.
GENERAL INSTRUCTIONS :
1. This section contains 4 parts. 2. Answer ALL the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 296
Topic : 14.1 Conversion of units. Instruction : Convert the following `ℓ’ into ` mℓ ‘ and vice versa. No Question In mℓ No Question In ℓ
1 0.1 ℓ 21 50 mℓ
2 1.15 ℓ 22 80 mℓ
3 1.2 ℓ 23 55 mℓ
4 1.25 ℓ 24 60 mℓ
5 1.35 ℓ 25 700 mℓ
6 2.45 ℓ 26 960 mℓ
7 0.5 ℓ 27 820 mℓ
8 2.55 ℓ 28 280 mℓ
9 2.6 ℓ 29 390 mℓ
10 2.7 ℓ 30 2095 mℓ
11 3.75 ℓ 31 1095 mℓ
12 0.8 ℓ 32 4005 mℓ
13 3.85 ℓ 33 4010 mℓ
14 0.9 ℓ 34 8015 mℓ
15 4.95 ℓ 35 4020 mℓ
16 5.5 ℓ 36 6025 mℓ
17 5.1 ℓ 37 4030 mℓ
18 5.15 ℓ 38 10040 mℓ
19 6.2 ℓ 39 15050 mℓ
20 8.06 ℓ 40 20 000 mℓ
Mathematics Module
Modul Selia Bantu PPSMI 297
Topic : 14.1(b) Conversion of units Instruction : Convert the following compound units (ℓ, mℓ ) into mℓ. No Question mℓ
1 1 ℓ 10 mℓ
2 1 ℓ 15 mℓ
3 1 ℓ 20 mℓ
4 1 ℓ 25 mℓ
5 1 ℓ 35 mℓ
6 2 ℓ 40 mℓ
7 2 ℓ 45 mℓ
8 2 ℓ 50 mℓ
9 2 ℓ 55 mℓ
10 2 ℓ 60 mℓ
11 2 ℓ 70 mℓ
12 3 ℓ 75 mℓ
13 3 ℓ 80 mℓ
14 3 ℓ 85 mℓ
15 4 ℓ 90 mℓ
16 4 ℓ 95 mℓ
17 5 ℓ 5 mℓ
18 5 ℓ 10 mℓ
19 5 ℓ 15 mℓ
20 6 ℓ 20 mℓ
Mathematics Module
Modul Selia Bantu PPSMI 298
Topic : 14.1(c) Conversion of units Instruction : Convert the following `ℓ’ into `mℓ’ No Question mℓ
1 21
ℓ
2 41
ℓ
3 43ℓ
4 51
ℓ
5 52
ℓ
6 53
ℓ
7 54
ℓ
8 101ℓ
9 103ℓ
10 107
ℓ
11 109
ℓ
12 141
ℓ
13 121
ℓ
14 143
ℓ
15 151
ℓ
16 252
ℓ
17 254
ℓ
18 3 101
ℓ
19 3 107
ℓ
20 3 109
ℓ
Mathematics Module
Modul Selia Bantu PPSMI 299
Topic : 14.2 Determine the volume Instruction : Write the volume of the water , in mℓ or liter . 1
2 3
4
5 6
7
8 9
10
11 12
500 ml 500 ml 500 ml
500 ml 500 ml 500 ml
1 litre
1 litre
1 litre 1 litre
1 litre 1 litre
Mathematics Module
Modul Selia Bantu PPSMI 300
Topic : 14.3 Perform the basic operation of addition, subtraction, multiplication and division. Instruction : Calculate the volume. Show the working steps.
1. 2.34 ℓ + 800 mℓ = 2. 4.2 ℓ + 950 mℓ =
3. 875 mℓ + 1.5 ℓ =
4. 1.3 ℓ - 450 mℓ =
5. 3.8 ℓ - 560 mℓ =
6. 1.25 ℓ - 380 mℓ =
Mathematics Module
Modul Selia Bantu PPSMI 301
7. 3.2 ℓ x 7 = 8. 0.54 ℓ x 4 =
9. 1.13 ℓ x 12 =
10. 2.4 ℓ x 6 =
11. 3.26 ℓ x 5 =
12. 2.88 ℓ x 12 =
Mathematics Module
Modul Selia Bantu PPSMI 302
Topic : 14.4 Problem Solving Instruction : Solve the following problems. 1. What is the total volume, in ml, of the containers?
2. 3 ℓ of cooking oil has been poured into 5 similar containers. How much volume of oil, in mℓ, is in each container?
3. The container Q contains 2.7ℓ of water. 750 mℓ of water is poured out from the container. How much volume , in ml, of water is left ?
4. The diagram shows the volume of the mango juice in a packet. Find the total volume, in ℓ, of 7 similar packets ?
5. A container contains 25 mℓ of water. Then mother pours another 770 ml into the container. What is the total volume of water, in ℓ, altogether ?
6. There are 2.2 ℓ of water in the container. Chin scoops out 990 mℓ of the water. How much volume of water, in mℓ, is left ?
850ml P
1350ml Q
Cooking oil 3 l
2.7 l Q Mango
Juice 525 ml
Mathematics Module
Modul Selia Bantu PPSMI 303
7. Muthu pours 3.2 ℓ of water equally into 4 glasses. How much volume, in mℓ, of water is in each glass?
8. A bottle contains 600 mℓ of mineral water. What is the total volume of water, in ℓ, of 8 similar bottles ?
9. 41
of 2.4 ℓ of orange juice had been
drunk. Calculate the volume of orange juice , in mℓ, that is left .
10. State 40% of 3 ℓ in mℓ.
Mathematics Module
Modul Selia Bantu PPSMI 304
14 VOLUME AND LIQUID
14.1 (a)
1. 100 mℓ
2. 1150 mℓ 3. 1200 mℓ 4. 1250 mℓ 5. 1350 mℓ 6. 2450 mℓ 7. 500 mℓ 8. 2550 mℓ 9. 2600 mℓ 10. 2700 mℓ 11. 3750 mℓ 12. 800 mℓ 13. 3850 mℓ 14. 900 mℓ 15. 4950 mℓ 16. 5500 mℓ 17. 5100 mℓ 18. 5150 mℓ 19. 6200 mℓ 20. 8060 mℓ 21. 0.05ℓ 22. 0.08 ℓ 23. 0.055ℓ 24. 0.06ℓ 25. 0.7ℓ 26. 0.96ℓ 27. 0.82ℓ 28. 0.28ℓ 29. 0.39ℓ 30. 2.095ℓ 31. 1.095ℓ 32. 4.005ℓ 33. 4.010ℓ 34. 8.015ℓ 35. 4.020ℓ 36. 6.025ℓ 37. 100 mℓ 38. 1150 mℓ 39. 1200 mℓ 40. 1250 mℓ
14.1 (b)
1. 1010 ml 2. 1015ml 3. 1020ml 4. 1025ml 5. 1035ml 6. 2040ml 7. 2045ml 8. 2050ml 9. 2055ml 10. 2060ml 11. 2070ml 12. 3075ml 13. 3080ml 14. 3085ml 15. 4090ml 16. 4095ml 17. 5005ml 18. 5010ml 19. 5015ml 20. 6020ml
14.1 (c)
1 500 ml 2 250 ml 3 750ml 4 200ml 5 400ml 6 600ml 7 800ml 8 100ml 9 300ml 10 700ml 11 900ml 12 1250ml 13 1500ml 14 1750ml 15 1200ml 16 2400ml 17 2800ml 18 3100ml 19 3700ml 20 3900ml
14.2
1 500ml 2 400ml 3 100ml 4 700ml 5 800ml 6 200ml 7 1.1 liter 8 0. 8 liter 9 1.7 liter 10 0.3 liter 11 1.3 liter 12 0.5 liter
14.3
1 3140 ml 2 5150ml 3 2375 4 850 ml 5 3240ml 6 870ml 7 22400 ml 8 2160 ml 9 13560 ml 10 14 400 ml 11 16 300 ml 12 34 560 ml
14.4
1 2200 ml 2 600 ml 3 1950ml 4 3.675 liter 5 0.795 liter 6 1212 ml 7 800 ml 8 4.8 liter 9 1800 ml 10 1200ml
Mathematics Module
Modul Selia Bantu PPSMI 305
Mathematics Module
Modul Selia Bantu PPSMI 306
WEEK : 15
State: a) the number of sides. b) number of flat surfaces.
2. Name the 3-D shape which has the following features.
a) 1 curved surface b) 2 flat surfaces
Types of questions
The diagram shows a rectangle. Calculate the area, in cm, of the shaded region.
9 cm
4 cm
3 cm
2 cm
The diagram shows several rectangles of equal size.
Find the perimeter of the shaded parts.
Mathematics Module
Modul Selia Bantu PPSMI 307
THEME : SHAPE AND SPACE TOPIC : TWO DIMENSIONAL AND 3 DIMENSIONAL SHAPES TIME : 3 HOURS OBJECTIVES : At the end of the week, pupils should be able to;
i. name and state the 2-D shapes and 3-D shapes ii. calculate the perimeter or area of the 2-D composite shapes iii. calculate the volume of a solid or 3-D composite shapes.
GENERAL INSTRUCTIONS :
1. This section contains 10 parts. 2. Answer ALL the questions in this section.
Mathematics Module
Modul Selia Bantu PPSMI 308
Topic : 15.1 Two dimensional and 3 dimensional shapes Instruction : Name the following 2-D and 3-D shapes. 1.
2.
3.
4.
5.
6.
7.
8.
6 squarish surfaces 8 vertices 12 sides of equal length
4 triangles 1 square 5 vertices
4 triangular flat surfaces 1 rectangular flat surface 8 edges
6 flat surfaces 8 vertices 12 sides - opposite sides of equal length
4 sides 2 axis of symmetry 4 right angles - opposite sides of equal
1 vertex 1 flat surface 1 curved surface
2 flat surfaces 1 curved surface
1 curved surfaces
Mathematics Module
Modul Selia Bantu PPSMI 309
9
The diagram shows two 3-D shapes. Based on the diagrams state the : 1. 3-D shape without vertex.
_______________________
2. 3-D shape that has a rectangular base.
_________________________
10
Complete the table.
Solids Number of edges
11
The table shows the characteristics of 3-D shapes.
Names of shapes
Number of flat surfaces
5
2
12
The diagram shows a 2-D shape. 1 What is the name of the shape?
2 How many sides have the same length?
13
The diagram shows a solid object.
a. State the shape of the object given.
b. State the number of the flat surfaces of the object.
14
How many symmetry lines does a square have?
Mathematics Module
Modul Selia Bantu PPSMI 310
Topic : 15.2 Two dimensional and 3 dimensional shapes Instruction : Find the perimeters, in cm, of the following diagrams.. 1.
2.
3.
4.
5.
6.
4 cm 6 cm
3 cm 4 cm
8 cm
3 cm
Mathematics Module
Modul Selia Bantu PPSMI 311
Topic : 15.3 Two dimensional and 3 dimensional shapes Instruction : Find the perimeters for the shaded regions, in cm. 1.
2.
3.
4.
5.
6.
4 cm 6 cm
3 cm
3 cm
4 cm
6 cm
Mathematics Module
Modul Selia Bantu PPSMI 312
Topic : 15.4 Two dimensional and 3 dimensional shapes Instruction :Find the perimeters, in cm , of the following diagrams. 1. Q is a square.
2. Q is a square. .
2 The diagram below shows three similar rectangles.
.
3 The diagram below shows three similar rectangles.
5. Q is a square.
6.
Q 5 cm
9 cm
Q
8 cm
3 cm
6 cm
2 cm
13 cm
9 cm 4 cm
4 cm
2 cm
3 cm
3 cm
Q
12 cm
4 cm
6 cm
Mathematics Module
Modul Selia Bantu PPSMI 313
Topic : 15.5 Two dimensional and 3 dimensional shapes Instruction :Find the perimeters, in cm, for the shaded region. 1.
2. Q is a square.
3. Q is an equilateral triangle.
4. Q is a square.
5. P and Q are squares.
6. P and Q are equilateral triangles.
Topic : 15.6 Two dimension and 3 dimension shapes Instruction : Calculate the areas for the following triangles.
3
Q 5 cm
9 cm
Q
13 cm
9 cm
Q 7 cm
12 cm Q
10 cm
7 cm 3 cm
Q
P
3 cm
3 cm 6 cm
4 cm P Q 6 cm
12 cm
Mathematics Module
Modul Selia Bantu PPSMI 314
No. Length (cm) Breadth (cm) Calculations Area
1 8 4 2 9 6 3 10 8 4 4.4 7 5 8.6 12 6 7 6.6 7 9 3.4 8 9 8 9 10 7
10 4.4 5
Mathematics Module
Modul Selia Bantu PPSMI 315
Topic : 15.7 Two dimensional and 3 dimensional shapes Instruction : The following diagrams consist of several squares of equal size . Find the area, in cm2, of the shaded regions. 1.
2.
3.
4.
5.
6.
7.
8.
Mathematics Module
Modul Selia Bantu PPSMI 316
Topic : 15.8 Two dimensional and 3 dimensional shapes Instruction : Find the areas of the following composite shapes. . 1.
2.
3. Q is a square.
4.
5. Q is a square.
6. Q is a square.
Q 4 cm
9 cm 15 cm
6 cm
Q 6 cm
14 cm
15 cm
6 cm
Q 5 cm
2 cm
12 cm
Q
6 cm
9 cm 9 cm
Mathematics Module
Modul Selia Bantu PPSMI 317
Topic : 15.9 Two dimensional and 3 dimensional shapes Instruction : Find the following volumes, in cm³ based on the measurements given.
Num. length (cm) breadth (cm) height (cm) Volume (cm³)
1. 8 cm 7 cm 5 cm 2. 9 cm 4 cm 4 cm 3. 10 cm 5 cm 6 cm 4. 3 cm 8 cm 4 cm 5. 4 cm 12 cm 5 cm 6. 5 cm 5 cm 5 cm 7. 6 cm 6 cm 6 cm 8. 8 cm 4.2 cm 9 cm 9. 12 cm 9 cm 2 cm
10. 8.5 cm 4 cm 5 cm
Mathematics Module
Modul Selia Bantu PPSMI 318
Topic : 15.10 Two dimensional and 3 dimensional shapes Instruction : Find the volume of the shapes below in cm³. P is a cube and Q is a
cuboid. 1.
2.
3.
4.
5.
6.
P 4 cm Q
12 cm
3 cm Q
5 cm
P
9 cm
2 cm
Q 2 cm
2 cm
14 cm
P P Q 6 cm
3 cm P 2 cm
Q
3 cm
4 cm
8 cm Q
2 cm
10 cm
Q
2 cm
5 cm 7 cm
Q 2 cm
6 cm
Mathematics Module
Modul Selia Bantu PPSMI 319
7.
8.
9.
10.
11.
12.
Mathematics Module
Modul Selia Bantu PPSMI 320
SHAPE AND SPACE
15.1 1 Cube 2 Pyramid 3 Pyramid 4 Cuboid 5 Cylinder 6 Sphere 7 Cuboid 8 Cone 9 Cylinder, cuboid 10 1,2,0 11 Pyramid , cylinder
12 Isoceles triangle, 2 13 Cuboid, 6 14 4
15.2
1 40 cm 2 24 cm 3 36 cm 4 24 cm 5 24 cm 6 24 cm
15.3
1 24 cm 2 20 cm 3 24 cm 4 24 cm 5 18 cm 6 24 cm
15.4
i. 38 cm ii. 30 cm iii. 32 cm iv. 28 cm v. 40 cm vi. 52 cm
15.5
1 28 cm 2 16 cm 3 45 cm 4 34 cm 5 32 cm 6 48 cm
15.6
1 16 cm2 2 27 cm2 3 40 cm2 4 15.4 cm2 5 10.3 cm2 6 23.1 cm2 7 15.3 cm2 8 36 cm2 9 35 cm2 10 11 cm2
15.7
1 14 cm2 2 17.5 cm2 3 6 cm2 4 18 cm2
5 10 cm2 6 12 cm2 7 8 cm2 8 10 cm2
15.8
1 34 cm2 2 72 cm2 3 60 cm2 4 45 cm2
5 35.5 cm2 6 90 cm2
15.9
1 280 cm2 2 144 cm2 3 300 cm2 4 96 cm2
5 240 cm2 6 125 cm2 7 216 cm2 8 302 cm2
9 216 cm2 10 170 cm2
15.10
1 136 cm3
2 215 cm3 3 72 cm3 4 116 cm3 5 130 cm3 6 132 cm3 7 2194 cm3 8 576 cm3 9 24 cm3 10 64 cm3 11 253 cm3 12 504 cm3
Mathematics Module
Modul Selia Bantu PPSMI 321
Mathematics Module
Modul Selia Bantu PPSMI 322
WEEK 16 – 21
UPSR MODEL TEST PAPER
TIME : PAPER 1 (I HOUR )
PAPER 2 (40 MINUTES)
OBJECTIVES
At the end of these weeks, the pupils would be able to : i) score more than 80% for every set of paper 1 and paper 2.
ii) answer the questions according to the allocated time.
GENERAL INSTRUCTIONS 1) This module consisits of 3 sets of Paper 1 and Paper 2 UPSR Model Test Papers. 2) Answer all the questions in the test papers.
Mathematics Module
Modul Selia Bantu PPSMI 323
GENERAL INSTRUCTIONS.
1) This question paper consists of 40 questions.
2) Answer all the questions.
3) For each question, choose the best option from the given options A , B, C and D . Then circle the answer.
SET 1
MATHEMATICS
PAPER 1 1 HOUR
Mathematics Module
Modul Selia Bantu PPSMI 324
1. Which of the following numbers when rounded off to the nearest hundred
becomes 200 000?
Manakah di antara nombor berikut apabila dibundarkan kepada ratus terdekat
menjadi 200 000?
A 199 909
B 200 047
C 200 979
D 200 105
2. Diagram 1 is a card with a quote written on it.
Rajah 1 menunjukkan satu rangkai kata
Diagram 1
Rajah 1
Express the letter “E” as a fraction of the whole quote. Nyatakan pecahan huruf “E” daripada semua huruf dalam rangkai kata itu.
A 317
B. 16
C 15
D 38
3. Convert 19% to a decimal . Tukarkan 19% kepada perpuluhan A 19.0
B 1.9 C 0.19 D 0.019
4. Which of the following distances is the shortest ? Di antara berikut yang manakah jarak yang paling dekat ? A 0.004 km
B 40 m C 4000 cm
D 40 000 mm
MANAGEMENT SOFTWARE
Mathematics Module
Modul Selia Bantu PPSMI 325
5. Which of the following conversions is false ? Di antara pernukaran unit berikut yang manakah salah ?
A 2.7 kg = 2700 g B 300 g = 0.3 kg C 1 kg 30 g = 1300 g D 2 500 g = 2 kg 500 g 6. Diagram 2 shows a triangle R and a square S. Rajah 2 menunjukkan sebuah segitiga R dan sebuah segiempat sama S.
Diagram 2 Rajah 2
Which of the following combinations of cards can form the shape of
a pyramid ? Di antara kombinasi berikut, yang manakah boleh membentuk sebuah
pyramid. A 1 piece of R and 5 pieces of S 1 keping R dan 5 keping S B 2 pieces of R and 4 pieces of S 2 keping R dan 4 keping S C 4 pieces of R and 2 pieces of S 4 keping R dan 2 keping S D 4 pieces of R and 1 piece of S 4 keping R dan 1 keping S 7. 2 343 × 18 = A 31 174
B 32 174 C 41 174
D 42 174
8. 1 010 000 - 74 435 = A 934 435
B 935 565 C 935 575
D 944 435
R
S
Mathematics Module
Modul Selia Bantu PPSMI 326
9. 2 27 × 1127 =
A 352
B 704 C 2576
D 2756
10. 77 + 15.7 = A 92.7
B 82.7 C 23.4
D 22.4 11. 60% of RM3 is 60% daripada RM3 ialah A 1.8 sen
B 18 sen C RM1.08
D RM1.80 12. 3090 ÷ ( 22 + 8 ) = A 13
B 103 C 130
D 1 030
13. (8 29 + 2 79 ) - 3 49 =
A 759
B 723
C 859
D 823
14. RM15.25 + RM2.75 - ( RM3.60 + 25 sen) = A RM15.85
B RM14.85 C RM14.15
D RM13.15
Mathematics Module
Modul Selia Bantu PPSMI 327
15. Diagram 3 shows a number line. Rajah 3 menunjukkan satu garis nombor. Diagram 3 Rajah 3 30% of P is 30% daripada nilai P ialah A 300
B 378 C 830 D 1010 16. Which of the following is correct ? Di antara berikut yang manakah benar ? A 55 sen × 100 = RM550 B 8 sen × 1 000 = RM8 C 250 sen ÷ 10 = RM0.25 D 3 000 sen ÷ 100 = RM3.00
17. 5 hours 20 minutes - 2 34 hours =
5 jam 20 minit - 2 34 jam =
A 3 hours 35 minutes 3 jam 35 minit
B 3 hours 15 minutes 3 jam 15 minit
C 2 hours 55 minutes 2 jam 55 minit
D 2 hours 35 minutes 2 jam 35 minit
18. 480 g × 60 = State the answer in kg . Nyatakan jawapan dalam kg. A 2880
B 288 C 28.8
D 2.88
930 2250 P 1920
Mathematics Module
Modul Selia Bantu PPSMI 328
19. 14 l - 750 m l - 5.3 l = State the answer in m l . Nyatakan jawapan dalam m l . A 8 950
B 7 950 C 5 100
D 2 100
20. Diagram 4 shows the mass of 3 stones . Rajah 4 menunjukkan berat 3 ketul batu.
400g 12 kg 3 570g
Diagram 4
Rajah 4 Find the average mass, in g, of a stone . Carikan purata berat, dalam g, seketul batu itu? A 1360
B 1 490 C 4 080
D 4 470 21 Razi sells oranges, apples and pears. He has 2200 oranges. The number of
apples is 300 more than the number of oranges. The number of pears is 450 less than the number of apples. What is the total number of apples and pears? Razi menjual oren, epal dan buah pir.Dia ada 2200 oren. Bilangan epal adalah 300 biji lebih daripada bilangan oren. Bilangan buah pir adalah 450 kurang daripada bilangan buah epal. Berapakah bilangan buah epal dan pir ? A 6 750 B 4 550 C 2 550 D 2 050
Mathematics Module
Modul Selia Bantu PPSMI 329
22. Diagram 5 shows a box containing red, blue and green pens.The total
number of pens is shown on the box. Rajah 5 menunjukkan sebuah kotak yang mengandungi pen berwarna merah, biru dan hijau. Jumlah pen dinyatakan pada kotak itu Diagram 5
Rajah 5
The number of red pens is 38 of the total number of pens. There are 160 blue
pens and the remaining are green. What is the fraction of green pens in the box ?
Bilangan pen merah adalah 38 daripada jumlah pen itu. Bilangan pen biru
adalah 160 batang dan bakinya adalah pen hijau. Berapakah bilangan pen berwarna hijau dalam kotak itu ?
A 58
B 18
C 12
D 14
23 Table 1 shows bills which Puan Era had received. Jadual 1 menunjukkan beberapa bil yang diterima oleh Puan Era.
Bill Bil
Amount Jumlah
Electric RM60.40 Internet RM41.00 Telephone RM103.20 Water RM35.40
Table 1 Jadual 1
Puan Era has only 85%of the total amount needed to pay the bills. How much more money does she need to settle the bills ? Puan Era hanya mempunyai 85% daripada jumlah bil itu. Berapakah yang perlu dia tambah untuk menyelesaikan bil itu ?
320 pens
Mathematics Module
Modul Selia Bantu PPSMI 330
A RM7.50 B RM36 C RM212.50 D RM250
24. Diagram 6 shows a dialog between the headmaster and Kelvin.
Rajah 6 menunjukkan dialog di antara seorang guru besar dengan Kelvin.
Diagram 6
Rajah 6 How much is the cost of the pen Kelvin bought ? Berapakah harga pen yang dibeli oleh Kelvin? A RM75 B RM85 C RM237.50 D RM475.50
Congratulations! You won RM850 . What are you going to do with the money? Tahniah. Anda memenangi RM850. Apakah yang anda anda buat dengan duit ini.
I’m going to give RM200 to my parents , spend RM175 , save the half and the rest to buy a pen. Saya akan berikan RM200 kepada keluarga, RM175 saya belanja. Separuh daripada disimpan dan bakinya saya belikan sebatang pen ?
Headmaster
Kelvin
Mathematics Module
Modul Selia Bantu PPSMI 331
25. Table 2 shows the grades and the number of pupils of year 6 Pintar in a Mathematics test. Jadual 2 menunjukkan gred dan bilangan murid tahun 6 Pintar dalam satu ujian Matematik.
Grade Gred
The number of pupils Bilangan murid
A 24 B 8 C 6 D 2
Table 2
Jadual 2
Find the percentage of pupils who did not get grade A in the test. Carikan peratus murid yang tidak mendapat gred A dalam ujian itu ? A 14% B 16% C 40% D 60%
26. Diagram 7 shows the time Azi left Melaka and reached Bukit Kayu Hitam.
Rajah 7 menunjukkan masa Azi bertolak dari Melaka dan waktu tiba di Bukit Kayu Hitam.
Departure Arrival Morning Evening 4 January 2008 5 January 2008
Diagram 7 Rajah 7
Calculate the duration of the journey. . Hitungkan tempoh masa perjalanan itu . A 6 hours 15 minutes 6 jam 15 minit B 9 hours 45 minutes 9 jam 45 minit C 18 hours 15 minutes 18 jam 15 minit D 30 hours 15 minutes 30 jam 15 minit
12
9
6
3
1 2
4 5 7
8
10 11 12
9
6
3
1 2
4 5 7
8
10 11
Mathematics Module
Modul Selia Bantu PPSMI 332
27. Diagram 8 shows 4 containers filled with water. Rajah 8 menunjukkan isipadu air dalam 4 buah bekas. P Q R S Diagram 8
Rajah 8
The volume in container S is 400 ml less than in container R. Find the average volume , in ml, in a container . Isipadu air dalam bekas S adalah 400 ml kurang daripada isipadu air dalam bekas R. Carikan purata isipadu, dalam ml, dalam sebuah bekas? A 1 140 B 1 240 C 4 560 D 5 360
28. Diagram 9 shows the mass of a packet of salt and a packet of rice .
Rajah 9 menunjukkan berat sepeket garam dan sepeket beras. Diagram 9
Rajah 9 Find the total mass, in kg, of 8 packets of salt and 2 packets of rice. Carikan jumlah berat, dalam kg, 8 peket garam dan 2 peket beras . A 5.09 B 5.90 C 10.72 D 17.20
960 ml
1800 ml
400ml
Salt Garam
90 g
RICE / Beras 5 kg
Mathematics Module
Modul Selia Bantu PPSMI 333
29. Diagram 10 shows the road connecting four towns W,X,Y and Z.
Rajah 10 menunjukkan jalan yang menghubungkan empat bandar W,X,Y dan
Z.
Diagram 10
Rajah 10
The distance from Y to X is 3 times the distance from Z to Y .
What is the total distance, in km, from W to X through Z and Y?
Jarak dari Y ke X adalah 3 kali jarak dari Z ke Y.
Berapakah jumlah jarak , dalam km, dari W ke X melalui Z dan Y ?
A 231
B 316
C 406
D 416
30 The mass of a box is 1.25 kg. Chitra puts 35 oranges into the box. The mass
of each orange is between 35 g and 50 g. Estimate the mass, in kg, of the box of oranges.
Berat sebuah kotak ialah 1.25 kg. Chitra memasukkan 35 biji oren ke dalam
kotak itu. Setiap oren itu beratnya diantara 35 g dan 50 g. Anggarkan berat , dalam kg, sekotak oren itu. A 1.3 B 1.6 C 2.3 D 2.8
Y
W Z
X 77 km
108 km
Mathematics Module
Modul Selia Bantu PPSMI 334
31 Table 3 shows the time taken by Low to revise his lesson. Jadual 3 menunjukkan waktu yang digunakan oleh Low untuk mengulangkaji
pelajaran.
Subject Mata pelajaran
Time taken Tempoh masa
English 2 hours 2 Jam
Mathematics 1 34 hours
1 34 jam
Science 2 hours 55 minutes 2 jam 55 minit
Bahasa Melayu 1 hour 40 minutes 1 jam 40 minit
Table 3
Jadual 3 . What is the average duration spent on each subject ? Berapakah purata masa yang digunakan untuk mengulangkaji setiap mata
pelajaran ? A 1 hour 55 minutes 1 jam 55 minit
B 2 hours 5 minutes 2 jam 5 minit
C 6 hours 40 minutes 6 jam 40 minit D 8 hours 20 minutes 8 jam 20 minit
Mathematics Module
Modul Selia Bantu PPSMI 335
32 Diagram 11 is an incomplete bar graph which shows the number of workers in
four factories.
Carta palang yang tidak lengkap pada Rajah 11 menunjukkan bilangan
pekerja dalam empat buah kilang.
Diagram 11
Rajah 11 The total number of workers in four factories is 630. The difference in number
of workers between factories G and H is 60.
Find the number of workers in factory K.
Jumlah pekerja dalam empat kilang itu ialah 630 orang. Perbezaan bilangan
pekerja antara kilang G dan H ialah 60 orang.
Cari bilangan pekerja dalam kilang K .
A 150
B 180
C 210
D 240
G
H
The
no. o
f wor
kers
B
ilang
an p
eker
ja
Factory Kilang J
K
Mathematics Module
Modul Selia Bantu PPSMI 336
33. Diagram 12 is an incomplete pictograph which shows the number of computers in 4 computer labs.
Piktograf yang tidak lengkap dalam Rajah 12 menunjukkan bilangan komputer yang terdapat dalam 4 buah makmal komputer.
Lab W Lab X Lab Y Lab Z
represents 5 computers mewakili 5 buah computer
Diagram 12 Rajah 12
The average number of computers in 4 computer labs is 25 . How many ‘ ’
is needed to be drawn for Lab Z ? Purata computer dalam setiap makmal ialah 25 buah. Berapakah bilangan
‘ ’ perlu dilukis pada makmal Z ? A 4
B 5 C 6
D 8
34. In diagram 13 , PQRS is a rectangle and STU is an equilateral triangle . Dalam rajah 13 , PQRS adalah sebuah segiempat tepat dan STU adalah
sebuah segitiga sama sisi. Diagram 13
Rajah 13 The perimeter of triangle STU is 18 cm. Calculate the perimeter , in cm, of the
whole diagram. Perimeter segitiga STU ialah 18 cm. Hitung perimeter, dalam cm, seluruh
rajah. A 60
B 54 C 48
D 42
P
Q R
S T
U
15 cm
Mathematics Module
Modul Selia Bantu PPSMI 337
35. Diagram 14 shows a cuboid P and a cube Q. Rajah 14 menunjukkan sebuah kuboid P dan sebuah kubus Q. Diagram 14 Rajah 14 Cuboid P and cube Q have the same volume. Find the value , in cm, of X. Isipadu kuboid P dan kubus Q adalah sama. Carikan nilai X, dalam cm A 2
B 3 C 4
D 5
36 Diagram 12 shows a frame in the shape of a rectangle . Rajah 12 menunjukkan bingkai berbentuk segiempat tepat. Diagram12 Rajah 12
Calculate the area , in cm² , of the shaded region. Hitung luas, dalam cm² , kawasan berlorek. A 8
B 36 C 46
D 108
6 cm
18 cm
4 cm
x cm
7 cm
13 cm
11 cm
5 cm
Mathematics Module
Modul Selia Bantu PPSMI 338
37. Diagram 16 shows an incomplete bill for the items bought by Azia.
Bil yang tidak lengkap dalam Rajah 16 menunjukkan pembelian barang oleh
Azia.
Diagram 16
Rajah 16 Azia pays with 2 pieces of RM50 note. How much is the balance ?
Azia membayar 2 keping RM50 .
Berapakah baki wangnya ?
A RM24.90
B RM25.90
C RM74.10
D RM75.10
Quantity Kuantiti
Item Barang
Price per unit
Harga seunit
Price Harga
6 packets peket
flour tepung RM2.70
300 g chillies cili
RM15 per kg
8 bottles botol
cooking oil minyak masak RM6.80
RM54.40
Total
Mathematics Module
Modul Selia Bantu PPSMI 339
38. Diagram 17 shows an equilateral triangle constructed using a piece of wire. Rajah 17 menunjukkan sebuah segitiga sama sisi terbina daripada seutas dawai. Diagram 17
Rajah 17 Which of the following shapes can be constructed using the same piece
of wire ? Di antara bentuk berikut yang manakah dibina menggunakan ukuran panjang
dawai yang sama.
A
B C
D
16 cm
14cm
14cm
10cm
16cm
6 cm
5 cm
21cm
Mathematics Module
Modul Selia Bantu PPSMI 340
39. Table 4 shows the number of flowers sold by four shops. Jadual 4 menunjukkan bilangan bunga yang dijual oleh empat buah kedai.
Table 4
Jadual 4 Which of the following statements is true? Di antara pernyataan berikut yang manakah benar ?
A The number of flowers sold by shop M is twice the number of flowers sold by shop Q.
Bilangan bunga yang dijual oleh kedai M adalah 2 kali bilangan bunga yang dijual oleh kedai Q .
B Shop N has the highest number of flowers sold.
Kedai N menjual bunga yang paling banyak.
C Shop P sold 83 flowers less than shop N. Kedai P menjual kurang 83 kuntum bunga daripada kedai N. D The difference in the number of flowers sold between shop M and shop
N is 36. Perbezaan bunga yang dijual oleh kedai M dengan kedai N adalah
sebanyak 36
Shop M Kedai
Shop N Kedai
Shop P Kedai
Shop Q Kedai
240 204 120
104
Mathematics Module
Modul Selia Bantu PPSMI 341
40. Table 5 shows the length of ribbon needed to tie 3 types of presents Jadual 5 menunjukkan panjang reben yang diperlukan untuk mengikat 3
jenis hadiah. Table 5 Jadual 5 What is the length of ribbon, in m, needed to tie all the presents? Berapakah panjang , dalam m, reben yang diperlukan untuk mengikat semua hadiah itu? A 1.32 B 5.1 C 13.2 D 51
KERTAS UJIAN TAMAT
Type of present Jenis hadiah
Quantity Kuantiti
Ribbon per unit
Length of ribbon
Small Kecil 6 70 cm
Medium Sederhana 2 1.5 m
Large Besar 3 2 m
Total of ribbonJumlah reben
Mathematics Module
Modul Selia Bantu PPSMI 342
ANSWER KEYS PAPER 1
SET 1
BIL SET1 1 B 2 B 3 C 4 A 5 C 6 D 7 D 8 B 9 C
10 A 11 D 12 B 13 A 14 C 15 B 16 C 17 D 18 C 19 B 20 B 21 B 22 B 23 B 24 C 25 C 26 D 27 A 28 C 29 D 30 D 31 B 32 B 33 C 34 C 35 B 36 B 37 A 38 A 39 D 40 C
Mathematics Module
Modul Selia Bantu PPSMI 343
GENERAL INSTRUCTIONS
1) This text paper consists of 20 questions.
2) Answer all the question.
3) Show the steps involved in calculating the answer.
SET 1
MATHEMATICS
PAPER 2
40 MINUTES
Mathematics Module
Modul Selia Bantu PPSMI 344
1 1M
Diagram 1 shows five number cards. Rajah 1 menunjukkan lima kad nombor. Construct the biggest five digit number from the cards. Binakan nombor terbesar lima digit daripada kad-kad itu.
2 1M
Diagram 2 shows a number line. Rajah 2 menunjukkan satu garis nombor. Find the value of M Nilai M ialah
3 1M
Convert 8.07 to a mixed number. Tukarkan 8.07 kepada nombor bercampur.
4
7 062 ÷ 6 =
5. 1M
Diagram 3 shows a weighing scale without a pointer. Rajah 3 menunjukkan satu dacing tanpa jarum. Draw the pointer to show the mass of a cuboid which is 650 g . Lukiskan jarum yang menunjukkan berat kuboid itu ialah 650g?
9 0 2 6 0
0
250 750
1 kg
g
500
Diagram 1 Rajah 1
Diagram 3 Rajah 3
59 M 1
Diagram 2 Rajah 2
23
Mathematics Module
Modul Selia Bantu PPSMI 345
6. 2M
Simplify 148 then state the answer in mixed numbers.
Permudahkan 148 , kemudian nyatakan jawapan dalam nombor bercampur.
7. 2M
0.904 × 7 =
8. 2M
( 545 + 367) ÷ 12
9. 2M
2.8 kg + 0.97 kg = State the answer in g. Nyatakan jawapan dalam g.
Mathematics Module
Modul Selia Bantu PPSMI 346
10. 2M
RM45 + 65 sen + RM13.90 =
11. 2M
60 years -- 38 years = State the answer in months. 60 tahun – 38 tahun = Nyatakan jawapan dalam bulan.
12. 2M
85% of 480 birds = Berapakah 85% daripada 480 ekor burung?
13. 2M
Diagram 4 shows a shape. Rajah 4 menunjukkan sebuah bentuk.
Name the shape Namakan bentuk itu.
State the number of symmetry lines of the shape Nyatakan bilangan garisan simetri bentuk itu.
Diagram 4 Rajah 4
Mathematics Module
Modul Selia Bantu PPSMI 347
14.. 2M
Diagram 5 shows a cuboid. Rajah 5 menunjukan sebuah kuboid. Calculate the volume, in cm³ , of the cuboid. Hitung isipadu , dalam cm³ , kuboid itu.
15. 2M
Diagram 6 shows the time Fahmi reached his house after walking from school. Rajah 6 menunjukkan masa Fahmi tiba dirumahnya selepas berjalan dari sekolah. His journey took 50 minutes At what time did he depart from school ? Dia mengambil masa 50 minit. Pada pukul berapakah dia bertolak dari sekolahnya?
16. 3M
Diagram 7 shows a rectangle P and a square Q Rajah 7 menunjukkan sebuah segiempat tepat P dan sebuah segiempat sama Q. Calculate the difference in area, in cm² , between rectangle P and Q . Hitung beza luas, dalam cm² , antara segiempat tepat P dan Q.
17. 3M
The distance from Hani’s house to town is 8 km. She drives to town and stops at Farah’s house after driving 4.8 km. What is the distance, in m, between Farah’s house and the town ? Jarak dari Rumah Hani ke Bandar ialah 8 km. Dia memandu ke Bandar dan berhenti di rumah Farah selepas memandu sejauh 4.8 km. Berapakah jarak , dalam m, dari Rumah Farah ke Bandar ?
12
9
6
3
1 2
4 5 7
8
10 11
3 cm
4 cm
8 cm
6 cm
5 cm
9 cm
Diagram 7 Rajah 7
Diagram 5 Rajah 5
Diagram 6 Rajah 6
Mathematics Module
Modul Selia Bantu PPSMI 348
18. 3M
Table 1shows the mass of 3 pupils Jadual 1 menunjukkan berat 3 orang murid.
Pupils Murid
Mass of the pupil Berat murid
Zaili 48 kg Zaidi 67 kg Zaiful 49 kg
What is the average mass, in kg, of a pupil ? Berapakah purata berat, dalam kg, setiap murid ?
19. 3M
Menachee buys 6 boxes of chocolate. Each box contains 36 smaller chocolates. She gives 50 smaller chocolates to her brother and keeps the rest. How many smaller chocolates does she keep ? Menachee membeli 6 kotak coklat. Setiap kotak mengandungi 36 biji coklat. Dia memberikan 50 biji coklat kepada adiknya dan bakinya disimpan. Berapa biji coklat yang dia simpan ?
20. 3M
Jemy prepared 5.2 ℓ of syrup. He poured 2.8 ℓ into jug P and the remainder equally into jug X,Y and Z . How much is the volume of syrup , in mℓ , in the jug Z ? Jemy menyediakan 5.2 ℓ air sirap. Dia menuang 2.8 ℓ ke dalam jug P dan bakinya sama banyak ke dalam jug X,Y dan Z. Berapakah isipadu , dalam mℓ, air sirap dalam jug Z?
KERTAS UJIAN TAMAT
Table 1 Jadual 1
Mathematics Module
Modul Selia Bantu PPSMI 349
ANSWER KEYS PAPER 2
SET 1
Q SET 1 1 96 200
2 8
9
3 8
7100
4 1177
5 650 g
6 1
34
7 6.328
8 72
9 3770
10 RM59.55
11 264 months
12 408
13 a. non polygon b. 1
14 96 cm3
15 1.25 p.m
16 9 cm2
17 3200 m
18 54.7 kg
19 166
20 0.8
Mathematics Module
Modul Selia Bantu PPSMI 350
GENERAL INSTRUCTIONS.
1) This question paper consists of 40 questions.
2) Answer all the questions.
3) For each question, choose the best option from the given options A , B, C and D . Then circle the answer
SET 2
MATHEMATICS
PAPER 1 1 HOUR
Mathematics Module
Modul Selia Bantu PPSMI 351
1. Extended notation for 40 678 is Cerakinan bagi 40 678 ialah A 40 000 + 678 B 40 000 + 670 + 8 C 40 000 + 600 + 78 D 40 000 + 600 + 70 + 8 2. 0.076 million = 0.076 juta = A 7 600 000
B 760 000 C 76 000
D 7 600 3. Diagram 1 shows a number line. Rajah 1 menunjukkan satu garis nombor. Diagram 1
Rajah 1 X = A 4.9
B 5.6 C 6.3
D 7.0
4. Which of the following pairs of times in the 12-hour system and 24-hour system does not match?
Di antara pasangan waktu dalam sistem 12 jam dan sistem 24 jam , yang manakah tidak sepadan waktunya. 12-hour system 24-hour system Sistem 12 jam Sistem 24 jam A 12.15 a.m. 0015 hours B 11.20 a.m. 2320 hours C 5.30 p.m 1730 hours D 8.15 p.m 2015 hours
2.8 X 3.5 4.2
Mathematics Module
Modul Selia Bantu PPSMI 352
5. Convert 2.7 cm to mm. Tukarkan 2.7 cm kepada mm . A 0.27
B 0.027 C 27
D 270 6. Diagram 2 ,shows the shapes P,Q , R and S Rajah 2 menunjukkan bentuk P,Q,R dan S Diagram 2
Rajah 2 Which of the following shapes is not a quadrilateral? Di antara bentuk- bentuk itu yang manakah bukan segiempat? A T
B S C R
D P 7. 149 147 ÷ 37 = A 431
B 4031 C 4301
D 4310 8. What is the product of 4 807 and 15 ? Apakah hasil darab di antara 4807 dengan 15 ? A 72 105
B 72 005 C 62 105
D 62 005
R
S T
P
Mathematics Module
Modul Selia Bantu PPSMI 353
9. 13 - 2 14 =
A 1134
B 11 14
C 1034
D 10 14
10. What is the difference between 30 and 25.299 ? Berapakah beza di antara 30 dengan 25.299? A 5.299
B 5.701 C 4.701
D 4.299 11. 30% of 2 minutes is 30% daripada 2 minit ialah A 6 seconds/ saat
B 18 seconds/ saat C 36 seconds/ saat
D 60 seconds/ saat 12. 6 815 + 532 × 16 = A 15 227
B 15 327 C 107 480
D 117 480 13. 5.73 - 0.09 + 3.567 = A 8.107
B 8.207 C 9.107
D 9.207 14. RM 4800 + ( RM1233 ÷ 9 ) = A RM5037
B RM4937 C RM4763
Mathematics Module
Modul Selia Bantu PPSMI 354
D RM4863 15. Diagram 3 shows several numbers arranged in sequence. Rajah 3 menunjukkan susunan nombor mengikut urutan.
Diagram 3 Rajah 3
23 of P is
23 daripada P ialah
A 84
B 168 C 252
D 378 16. 7.386 × 4 = State the answer to the nearest tenths. Nyatakan jawapan kepada persepuluh yang terdekat. A 29.544
B 29.54 C 29.6
D 29.5
17 5 hours 45 minutes + 2 23 hours =
5 jam 45 minit + 2 23 jam =
A 8 hours 18 minutes 8 jam 18 minit B 8 hours 25 minutes 8 jam 25 minit C 9 hours 18 minutes 9 jam 18 minit D 9 hours 25 minutes 9 jam 25 minit
18. 3 25 × 5.1 km =
A 2040 m
B 6120 m C 15 300 m
D 17 340 m
200 , 213 , 226 , 239 , P
Mathematics Module
Modul Selia Bantu PPSMI 355
19. 5.6 ℓ + 2 ℓ 50 m ℓ + 1 14 ℓ =
A 4 100 mℓ B 4 200 mℓ
C 8 800 mℓ D 8 900 mℓ
20. What is the average length, in cm, of 4.6 m , 2 m 70 cm, 40 cm and 310 cm?
Berapakah purata panjang, dalam cm, bagi 4.6 m , 2 m 70 cm , 40 cm dan 310 cm? A 270 B 1080 C 1 350 D 5 220
21. There are 560 beads in a box . The number of green, red and yellow beads is
the same. The number of blue beads is 83. How many of them are red ?
Terdapat 560 biji manik dalam sebuah kotak. Bilangan manik hijau, merah dan kuning adalah sama. Bilangan manik berwarna biru adalah 83 biji. Berapakah bilangan manik berwarna merah ?
A 121
B 159 C 212
D 220
22. Puan Niza bought a pizza. She cuts the pizza into 16 wedges of equal size.
Najwa ate 14 of the pizza. Najiha ate 13 of the remaining pizza. Find the
number of wedges of pizza left. Puan Niza membeli sekeping pizza. Dia memotong kepada 16 bahagian yang
sama besar. Najwa memakan 14 daripadanya . Najiha makan
13 daripada
bakinya. Berapakah bahagian yang masih tinggal ? A 12
B 8 C 6
D 4
Mathematics Module
Modul Selia Bantu PPSMI 356
23. There are 80 pupils in a hall. 14 are Malays, 34 Chinese and the rest are Indians. What is the percentage of Indian pupils in the hall ?
Seramai 80 orang murid berada di dewan. 14 daripadanya Melayu , 34 orang Cina dan bakinya murid India. Berapakah peratus murid India dalam dewan itu ? A 32 B 40 C 48 D 60
24 One file costs RM12.50. Darshan buys 40 files.He gets a discount of RM2
on each file. How much does he have to pay ? Harga kos sebuah fail ialah RM12.50. Darshan membeli 40 fail. Dia mendapat diskaun RM2 setiap fail. Berapakah yang perlu dia bayar ? A RM10.50 B RM14.50 C RM420 D RM580
25. Table 1 shows the price of tickets to the zoo.
Jadual 1 menunjukkan harga tiket masuk ke zoo.
Ticket Tiket
Price Harga
Adult Dewasa
RM12.00
Children Kanak-kanak
Half price of the adult Separuh harga daripada dewasa
Senior citizen Warga emas
RM5.00
Table 1
Jadual 1
Mr Wong buys 3 tickets for adults, 5 tickets for children and 2 tickets for senior citizens. What is the total amount he has to pay? En Wong membeli 3 tiket orang dewasa, 5 tiket kanak-kanak dan 2 tiket warga emas. Berapakah jumlah yang perlu dia bayar ? A RM23 B RM40 C RM66 D RM76
Mathematics Module
Modul Selia Bantu PPSMI 357
26 Diagram 5 shows the departure time of a bas from Johor Bharu to Kuala Terengganu in the evening.
Rajah 5 menunjukkan masa bertolak sebuah bas dari Johor Bharu ke Kuala
Trengganu pada waktu malam. Diagram 4 Rajah 4
The journey takes 10 34 hours. At what time does the bus arrive in Kuala
Trengganu?.
Perjalanan bas itu mengambil masa 10 34 jam. Pada pukul berapakah bas itu
sampai di Kuala Trengganu. A 8.25 a.m.
B 10.25 a.m. C 8.25 p.m.
D 10.25 p.m. 27 Diagram 5 shows the distance between three towns X,Y and Z Rajah 5 menunjukkan jarak di antara tiga Bandar X,Y dan Z. Diagram 5 Rajah 5 Isma drives from X to Z through Y. She stops to rest halfway between X and
Z. How far, in km, is Isma from Y when she is resting? Isma memandu keretanya dari X ke Z melalui Y. Dia berhenti rehat pada
pertengahan jarak antara X dan Z. Berapakah jauh, dalam km, Isma dari Y bila dia berhenti rehat?
A 45
B 36.6 C 29.8
D 28.2
12
9
6
3
1 2
4 5 7
8
10 11
X Y Z 16.8 km 73.2 km
Mathematics Module
Modul Selia Bantu PPSMI 358
28. Diagram 6 shows the mass of three types of fruits. Rajah 6 menunjukkan berat tiga jenis buah-buahan. Diagram 6
Rajah 6 Which of the following weighing scales shows the total mass of all the fruits
shown above? Antara penimbang berikut, yang manakah menunjukkan jumlah berat semua
buah –buah itu ? A B C D.
860 g 1.8 kg 0.64 kg
0
1
2 3
4
5
kg
0
1
2 3
4
5
kg
0
1
2 3
4
5
kg
0
1
2 3
4
5
kg
Mathematics Module
Modul Selia Bantu PPSMI 359
29. Diagram 7 shows the volume of water in containers P, Q and R. Rajah 7 menunjukkan isipadu air dalam bekas P, Q dan R. P Q R Diagram 7 Rajah 7 The volume of water in container R is 250 mℓ less than the volume of water in
container P. What is the difference between the volume of water, in ℓ , in container Q and R.?
Ispadu air dalam bekas R ialah 250 mℓ kurang daripada ispadu air dalam
bekas P. Berapakah beza isipadu air, dalam ℓ, dalam bekas Q dengan bekas R ? A 0.630
B 0.71 C 1.04
D 1.14 30. Table 2 shows the ages of three pupils. Jadual 2 menunjukkan umur tiga orang murid.
Pupils Murid
Age Umur
Jamal 10 years 9 months 10 tahun 9 bulan
Hazim 11 years 3 months 11 tahun 3 bulan
Syafiq 9 years 9 months 9 tahun 9 bulan
Table 2
Jadual 2 Determine the average age of each boy . Tentukan purata umur setiap murid. A 10 years 7 months 10 tahun 7 bulan B 10 years 9 months 10 tahun 7 bulan C 30 years 7 months 10 tahun 7 bulan D 31 years 9 months 10 tahun 7 bulan
960 mℓ 1 34 ℓ
P Q R
Mathematics Module
Modul Selia Bantu PPSMI 360
31. Diagram 8 is a pie chart which shows Adam’s monthly expenses. Rajah 8 ialah sebuah carta pai yang menunjukkan perbelanjaan bulanan
Adam. Diagram 8
Rajah 8 Adam spends RM320 on food. How much does he save in a month ? Adam membelanjakan RM320 untuk makanan. Berapakah wang yang dia
simpan setiap bulan? A RM120
B RM160 C RM200
D RM300 32. Diagram 9 is an incomplete pictograph which shows Encik Fendi’s sales of
oranges. Piktograf yang tidak lengkap dalam Rajah 9 menunjukkan penjualan oren
oleh Encik Fendi.
March ☼ ☼ ☼ ☼ ☼ ☼ ☼ April ☼ ☼ ☼ ☼ ☼ ☼ May ☼ ☼ ☼ ☼ June ☼ represents 35 boxes of oranges
mewakili 35 kotak limau
Diagram 9 Rajah 9
The total sale in the four months is 700 boxes. How many boxes did he sell in June ?
Jumlah jualan dalam empat bulan itu ialah 700 buah kotak limau. Berapakah kotak limau yang dijual dalam bulan Jun?
A 595 B 295 C 105 D 3
Cloths, 25%
Food, 40%
Bus fare, 20%
, , , Savings ,
Mathematics Module
Modul Selia Bantu PPSMI 361
33. The bar chart in Diagram 10 shows Mrs Leong’s expenditure in the month of June. Carta palang dalam Rajah 10 menunjukkan perbelanjaan Mrs Leong dalam bulan Jun.
Diagram 10 Rajah 10
Mrs Leong’s monthly salary is RM3000. How much money does she have at the end of June ? Gaji bulanan Mrs Leong ialah RM3000. Berapakah baki wangnya pada akhir bulan Jun ? A RM1250 B RM1350 C RM1650 D RM1750
34 On each trip, a bus carries 32 passengers. Each passenger pays between RM2 to RM3 for the ticket. Estimate the total ticket collection for 12 trips.
Bagi setiap perjalanan sebuah bas membawa 32 orang penumpang. Setiap
penumpang membayar antara RM2 dan RM3 untuk setiap tiket. Anggarkan jumlah kutipan bagi 12 perjalanan bas itu
A RM700
B RM750 C RM1100
D RM1200
Exp
endi
ture
(RM
) Pe
rbel
anja
an (R
M)
Food
M
akan
an
Util
ity
Bil-
bi;
Mak
e up
Al
at s
olek
100
200
300
400
500
Petr
ol
Petr
ol
Ren
tal
Sew
a
Mathematics Module
Modul Selia Bantu PPSMI 362
35 Diagram 11 consists of a square and two isosceles triangles of the same size .
Rajah 11 mengandungi sebuah segiempat sama dan dua buah segitiga sama kaki yang sama besar.
Diagram 11 Rajah 11
The perimeter of an isosceles triangle is 29 cm. Find the perimeter, in cm, of
the whole diagram. Perimeter sebuah segitiga sama kaki itu ialah 29 cm Carikan perimeter,
dalam cm, seluruh rajah. A 88
B 78 C 68
D 58 36 Diagram 12 shows a container with some water.
Rajah 12 menunjukkan sebuah bekas yang berisi air.
Diagram 12 Rajah 12
The base of the container is a square. The volume of water in the container is 1024 cm³ Find the value of h . Tapak bekas itu berbentuk segiempat sama. Isipadu air dalam bekas itu ialah 1024 cm³ . Cari nilai h. A 64 B 32 C 16 D 12
12 cm
h cm
8 cm
Mathematics Module
Modul Selia Bantu PPSMI 363
37. Diagram 13 shows a rectangle PQRS and a square WXPR. Rajah 13 menunjukkan sebuah segiempat tepat PQRS dan sebuah
segiempat sama WXRP.
Diagram 13 Rajah 13
Calculate the area , in cm² , of the shaded region. Kirakan luas, dalam cm² , kawasan berlorek. A 60
B 79 C 109
D 139 38 Table 3 shows the price of four items and the discount given to them. Jadual 3 menunjukkan harga dan diskaun yang diberikan kepada empat buah
barang.
Item Barang
Price Harga
Discount Diskaun
W RM330 10% X RM280 5% Y RM450 25% Z RM500 40%
Table 3 Jadual 3 Which of the following items is the most expensive after discount ? Antara barang berikut yang manakah paling mahal selepas diberi diskaun ? A W
B X C Y
D Z
P Q
R S
W
X
5 cm
12 cm
13 cm
Mathematics Module
Modul Selia Bantu PPSMI 364
39 Diagram 14 shows a cube. Rajah 14 menunjukkan sebuah kiub. Diagram 14
Rajah 14 Which of the following shapes does not have half the volume of the cube ? Di antara bentuk berikut, yang manakah isipadunya separuh daripada isipadu
kiub ? A B
B
C D
6 cm
3 cm
12 cm 3 cm
9 cm
2 cm 6 cm
3 cm
4 cm
9 cm
Mathematics Module
Modul Selia Bantu PPSMI 365
40. The incomplete bill in diagram 15 shows the items bought by Fazira. Bil yang tidak lengkap pada rajah 16 menunjukkan barang yang dibeli oleh
Fazira.
Quantity Kuantiti
Item Barang
Price per unit Harga seunit
Price Harga
2 HammersPenukul
RM9.50
4 packets Nails Paku
RM6 RM24.00
20 Bulbs mentol
RM2.50
Total / jumlah Diagram15 Rajah 15 Fazira paid the bill with a RM100 note. How much change did she get ? Fazira membayar bil itu dengan sekeping RM100 . Berapakah baki yang
diterimanya? A RM7.00
B RM17.00 C RM83.00
D RM93.00
KERTAS UJIAN TAMAT
Mathematics Module
Modul Selia Bantu PPSMI 366
ANSWER KEYS
PAPER 1 SET 2
BIL SET2
1 D 2 C 3 C 4 B 5 C 6 A 7 B 8 A 9 C 10 C 11 C 12 B 13 D 14 B 15 B 16 D 17 B 18 D 19 D 20 A 21 B 22 B 23 B 24 C 25 D 26 B 27 D 28 B 29 C 30 A 31 A 32 C 33 A 34 C 35 B 36 C 37 D 38 C 39 A 40 A
Mathematics Module
Modul Selia Bantu PPSMI 367
GENERAL INSTRUCTIONS
1) This text paper consists of 20 questions.
2) Answer all the question.
3) Show the steps involved in calculating the answer.
SET 2
MATHEMATICS
PAPER 2 40 MINUTES
Mathematics Module
Modul Selia Bantu PPSMI 368
1 1M
Write the number in numerals Tulis nombor di bawah dalam angka.
2 1M
Convert 0.7 to a percentage Tukarkan 0.7 kepada peratus..
3 1M
Diagram 1 shows a number line. Rajah 1 menunjukkan satu garis nombor. What is the value of Z . Apakah nilai Z
4 1M
66 487 + 8 877 =
5. 1M
Diagram 2 shows the mass of a watermelon. Rajah 2 menunjukkan berat sebiji tembikai. What is the mass, in g, of the watermelon? Apakah berat, dalam g, tembikai itu?
0.24 0.42 Z 0.3 0.36
Forty thousand and twenty Empat puluh ribu dua puluh
Diagram 1 Rajah 1
0
250 750
1 kg
g
500
Diagram 2 Rajah 2
Mathematics Module
Modul Selia Bantu PPSMI 369
6. 2M
Multiply 3.19 with 1000 is Darabkan 3.19 dengan 1000 ialah
7. 2M
90 sen + RM77 - RM12.95 =
8. 2M
( 1232 - 98 ) ÷ 7 =
9. 2M
0.08 km × 9 = Give the answer in m. Berikan jawapan dalam m.
Mathematics Module
Modul Selia Bantu PPSMI 370
10. 2M
45 years + 77 years = State the answer in decades and years. 45 tahun + 77 tahun = Nyatakan jawapan dalam dekad dan tahun.
11. 2M
37 of 560 hats is green and the rest are red. How many hats are red ?
37 daripada 560 buah topi berwarna hijau dan baki berwarna merah.
Berapakah bilangan topi berwarna merah?
12. 2M
Diagram 3 shows several shapes. Rajah 3 menunjukkan beberapa bentuk. Find the number of symmetry lines. Carikan bilangan garisan simetri. a) b)
13. 2M
What is the average of 4 , 6.8 and 15 ? Berapakah purata bagi 4 ,6.8 dan 15 ?
Diagram 3 Rajah 3
Mathematics Module
Modul Selia Bantu PPSMI 371
14. 2M
Diagram 4 consists of three rectangles of the same size. Rajah 4 mengandungi tiga segiempat tepat yang sama saiz. Calculate the area , in cm² , of the whole diagram. Hitung luas, dalam cm² , seluruh rajah.
15. 2M
Diagram 5 shows a square P and an equilateral triangle Q. Rajah 5 menunjukkan sebuah segiempat sama P dan sebuah segitiga sama sisi Q. Calculate the perimeter, in cm, of the shaded region. Hitungkan perimeter, dalam cm, kawasan berlorek.
16. 3M
Diagram 6 shows a cube. Rajah 6 menunjukkan sebuah kubus. Calculate the volume , in cm³, of the 3 similar cubes. Hitung isipadu, dalam cm³, 3 kubus yang sama.
17. 3M
70% of 320 pupils go to school by bus , 25 % of them by motocycles and the rest are walking. How many pupils walk to school? 70% daripada 320 orang murid pergi kesekolah menaiki bas, 25% daripadanya menaiki motosikal dan bakinya berjalan kaki. Berapakah bilangan murid yang berjalan kaki ke sekolah ?
6 cm
3 cm
8 cm
Q
P
2 cm
Diagram 6 Rajah 6
Diagram 5 Rajah 5
Diagram 4 Rajah 4
Mathematics Module
Modul Selia Bantu PPSMI 372
18. 3M
Table 1 shows the price of two types of grape Jadual 1 menunjukkan harga dua jenis anggur.
Grape Anggur
Price per 100g Harga setiap 100 g
Red merah
RM1.50
Black hitam
RM1.20
Vinitha has RM15. She buys 600 g of red grapes and 400 g of black grapes. How much is her balance? Vinitha ada RM15. Dia membeli 600 g anggur merah dan 400 g anggur hitam. Berapakah baki wangnya?
19. 3M
Table 2 shows the volume of water in 3 containers. Jadual 2 menunjukkan isipadu air dalam 3 buah bekas.
Container bekas
Volume of water isipadu air
P 360 mℓ Q 1200 mℓ R 900 mℓ
Calculate the average volume of water , in mℓ , in a container . Hitung purata, dalam mℓ, setiap bekas.
20. 3M
Diagram 7 shows the length of a straight wood. Rajah 7 menunjukkan panajng sebatang kayu lurus.
The wood is cut equally into 4 parts. What is the length , in cm,,of each part ? Kayu itu dipotong sama panjang kepada 4 bahagian. Berapakah panjang , dalam cm, setiap bahagian ?
1 m
2 m
Diagram 7 Rajah 7
Table 2 Jadual 2
Table 1 Jadual 1
Mathematics Module
Modul Selia Bantu PPSMI 373
KERTAS UJIAN TAMAT
ANSWER KEYS PAPER 2
SET 2
NO. SET 2 1 40 020
2 70 % 3 0.48 4 75 364
5 850 g
6 3190 7 RM 64.95
8 162
9 720 m
10 12 decades
2 years
11 320
12 a. 1 b. 4
13 8.6 14 54 cm2 15 40 cm
16 24 cm3 17 16
18 RM 1.20
19 820 ml
20 45 cm
Mathematics Module
Modul Selia Bantu PPSMI 374
GENERAL INSTRUCTIONS.
1) This question paper consists of 40 questions.
2) Answer all the questions.
3) For each question, choose the best option from the given options A , B, C and D . Then circle the answer
SET 3
MATHEMATICS
PAPER 1 1 HOUR
Mathematics Module
Modul Selia Bantu PPSMI 375
1. Which of the following numbers has the smallest value ? Di antara nombor berikut manakah yang paling kecil nilainya ?
A 4 12 million
B 4 14 million
C 4.08 million D 4.2 million 2. The extended notation of 6.045 is Cerakinkan bagi 6.045 ialah A 6 + 0.45
B 6 + 0.045 C 6 + 0.4 + 0.05
D 6 + 0.04 + 0.005 3. 7 sen = A RM7 B RM0.70 C RM0.07 D RM0.007 4. Diagram 1 shows the time on a digital clock. Rajah 1 menunjukkan waktu pada sebuah jam digital. Diagram 1 Rajah 1 Convert the time to the 12 hour system. Tukarkan waktu itu kepada system 12 jam. A 3.05 a.m B 9.05 a.m. C 3.01 p.m D 9.05 p.m
21 : 05
Mathematics Module
Modul Selia Bantu PPSMI 376
5. Diagram 2 shows the length of a wood. Rajah 2 menunjukkan panjang sebatang kayu.
Diagram 2 Rajah 2 What is the length , in mm, of the wood? Berapakah panjang, dalam cm, kayu itu? A 13.2 B 12.2 C 132 D 120 6. Diagram 3 shows the shapes P,Q , R and S Dalam rajah 3 menunjukkan bentuk-bentuk P,Q , R dan S . Diagram 3 Rajah 3 Which of the following shape has a line of symmetry? Bentuk yang manakah mempunyai garisan simetri. A P B Q C R D S 7. 105 638 ÷ 26 = A 463 B 4 063 C 4 603
P
Q
R S
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
m
Mathematics Module
Modul Selia Bantu PPSMI 377
D 4 630 8. 342 000 - 88 645 = A 253 355 B 254 355 C 263 355 D 264 355
9. 23 ÷ 6 =
A 19
B 14
C 4 D 9 10. What number must be subtracted from 40 to make 18.257 ? Apakah nombor yang perlu ditolak daripada 40 supaya menjadi 18.257 ? A 21.743 B 21.853 C 38.257 D 58.257 11. 130% of 4.8 kg = 130% daripada 4.8 kg ialah A 62 400 g B 6 240 g C 624 g D 62.4 g 12. 900 - 300 ÷ 5 = A 960 B 840 C 240 D 120 13. 46.07 + 203 - 20.7 = A 27.50
Mathematics Module
Modul Selia Bantu PPSMI 378
B 28.20 C 218.57 D 228.37 14. RM10.15 – (RM3.75 + RM2) + 85 sen = A RM6.25 B RM5.25 C RM4.45 D RM3.60
15. 9 31000 - 1 3
100 =
A 0.793 B 7.73 C 7.97 D 7.973 16. Which of the following has the largest value ? Di antara berikut , hasil yang manakah paling besar ? A 40% of 500
B 50% of 450 C 60% of 400
D 70% of 300
17. The total of 3 34 m and 65 cm is
Jumlah bagi 3 34 m dan 65 cm ialah
A 440 cm B 399 cm C 68.75 cm D 68.34 cm
18 The average of 25, 39, 40 , 50 and P is 35 .
The value of P is Purata bagi 25 , 39 , 40 , 50 dan P ialah 35. Nilai bagi P ialah A 13 B 15 C 21 D 30
Mathematics Module
Modul Selia Bantu PPSMI 379
19 Which of the following beakers shows the sum of 125 m l , 275 m l and
112 l ?
Di antara isipadu air dalam bekas yang manakah menunjukkan hasil tambah
bagi 125 m l , 275 m l dan 1 12 l ?
A B C D 20. 5.67 kg × 11 = A 623 700 g B 62 370 g C 6 237 g D 623.7 g
21. There are 39 red apples and 17 green apples. 8 of them are rotten and
thrown away. The rest are shared equally among Lina and her 3 brothers. How many apples does Lina get ?
Sebanyak 39 epal merah dan 17 epal hijau terdapat dalam sebuah bakul. 8 daripadanya rosak dan dibuang. Baki yang elok dikongsi sama banyak antara Lina dan 3 orang adiknya. Berapakah epal yang Lina dapat ?
A 8 B 12 C 16 D 18
1liter
2liter
1liter
2liter
1liter
2liter
1liter
2liter
Mathematics Module
Modul Selia Bantu PPSMI 380
22. The incomplete table 1 shows the number of apples sold in 3 days. Jadual 1 yang tidak lengkap menunjukkan bilangan epal yang dijual dalam
masa 3 hari
Day Hari
Green Hijau
Red Merah
Sunday Ahad
86 74
Tuesday Selasa
62
Thursday Khamis
78
Table 1 Jadual 1 The total number of apples sold every day is the same. What is the total of
green apples sold on Tuesday and Thursday ? Jumlah epal yang dijual tiga hari itu adalah sama. Berapakah jumlah jualan
epal hijau pada hari Selasa dan Khamis ? A 128 B 140 C 160 D 180
23 Raju has 216 eggs . He sold 13 of them on Monday and 14 of the remaining
eggs on Tuesday . How many eggs were left?
Raju ada 216 biji telur. Dia menjual 13 daripadanya pada hari Isnin dan
14
daripada bakinya pada hari Selasa. Berapakah baki telur yang tinggal ? A 144 B 108 C 36 D 21
Mathematics Module
Modul Selia Bantu PPSMI 381
24. Diagram 4 shows a piece of meat that was cut into four parts. Rajah 4 menunjukkan seketul daging dipotong kepada empat bahagian. Diagram 4 Rajah 4 What is the percentage of part Y from the total mass? Berapakah peratus Y daripada jumlah berat itu ? A 40 B 36 C 12 D 12 25. Diagram 5 shows the price of a television set before discount. Rajah 5 menunjukkan harga sebuah televisyen sebelum diberi diskaun. Diagram 5 Rajah 5
Mohan bought the television set with a discount of 18%. He was given RM16
as a balance. How much money did he have at first? Mohan membeli televisyen itu dan mendapat diskaun 18%. Dia diberi baki
sebanyak RM16. Berapakah wangnya pada mulanya? A RM1016 B RM1000 C RM984 D RM968
W X
Y Z
680 g 1.2 kg
800 g
320 g
RM1200
Mathematics Module
Modul Selia Bantu PPSMI 382
26. Diagram 6 shows the price of a radio and a handset. Rajah 6 menunjukkan harga sebuah radio dan sebuah telefon bimbit?.
RM700 Diagram 6 Rajah 6
The price of the handset is 34 of the price of the radio. How much is the price
of 3 handsets ?
Harga telefon bimbit itu adalah 34 daripada harga radio itu. Berapakah harga
3 buah telefon bimbit itu ?
A RM175 B RM525 C RM1 225 D RM1 575
27. Table 2 shows the starting and ending time of four television programmes.
Jadual 2 menunjukkan waktu mula dan tamat empat siaran televisyen.
Program Start End W 1830 hrs 1900 hrs X 1805 hrs 2000 hrs Y 0815 hrs 1000 hrs Z 0945 hrs 1100 hrs
Table 2 Jadual 2 Which is the longest programme? Tayangan manakah yang paling lama ? A W B X
Mathematics Module
Modul Selia Bantu PPSMI 383
C Y D Z
28. The mass of a box is 1.5 kg . Tina puts 4 papayas into the box. The mass of each papaya is 800 g. She weighs the box with the papayas. Which of the following scales shows the correct reading ?
Berat sebuah kotak ialah 1.5 kg. Tina meletakkan 4 biji betik ke dalam kotak
itu. Setiap betik beratnya 800 g. Kemudian dia menimbang kotak dan betik-betik itu. Di antara bacaan berikut yang manakah benar ?
A B
0
1
2 3
4
5
kg
0
1
2 3
4
5
kg
C D
0
1
2 3
4
5
kg
0
1
2 3
4
5
kg
29. Diagram 7 shows the road map of three places P,Q and R . Rajah 7 menunjukkan peta jalan tiga buah tempat P,Q dan R. Diagram 7 Rajah 7
Haris cycled from P to Q then to R. After cycling 23 of the distance of QR, his
bicycle broke down. Find the total distance, in km, covered by him?
Haris berbasikal dari P ke Q kemudian ke R. Selepas berbasikal 23 daripada
jarak QR , basikalnya rosak. Berapakah jumlah jarak, dalam km, yang dilaluinya.
A 88
P Q
R
72 km
24 km
Mathematics Module
Modul Selia Bantu PPSMI 384
B 48 C 24 D 16 30. Diagram 8 shows the number of marbles in four boxes.
Rajah 8 menunjukkan bilangan guli dalam empat buah kotak.
Diagram 8 Rajah 8
Ady added a few more marbles into one of the boxes. Now the average number of marbles in the four boxes has become 90. How many marbles did Ady add ? Ady menambahkan beberapa guli kedalam salah satu kotak itu. Purata guli dalam setiap kotak menjadi 90. Berapakah guli yang Ady tambah ? A 2 B 8 C 262 D 352
31. Diagram 9 is a bar chart which shows the number of fruits sold by Muthu in a
day. Rajah 9 ialah sebuah carta palang yang menunjukkan jualan buah oleh Muthu dalam suatu hari tertentu.
Diagram 9 Rajah 9
67 92 123 70
0
40
80
120
200
Num
ber o
f fru
its
Bila
ngan
bua
h
Fruit Buah
Durains
Mangoes
Apples
and oranges
160
Mathematics Module
Modul Selia Bantu PPSMI 385
The number of apples sold is 15 of the total number of durians and
mangoes. Calculate the number of oranges sold that day.
Bilangan epal yang dijual adalah 15 daripada jumlah bilangan durian dan
mangga. Kirakan bilangan oren yang dijual pada hari itu . A 60 B 70 C 80 D 140
32. Diagram 10 is a pictograph that shows the number of exercise books marked
by Cik Soleha in three days Piktograf dalam Rajah 10 menunjukkan bilangan buku latihan yang ditanda oleh Cik Soleha dalam masa tiga hari.
Monday Tuesday Wednesday Thursday represent 15 books. Mewakili 15 buku
Diagram 10 Rajah 10
The number of books marked on Thursday is 12 of the average of books
marked during the first three days. Find the number of books marked on Thursday.
Bilangan buku yang ditanda pada hari Khamis adalah 12 daripada purata
buku yang ditanda tiga hari sebelumnya. Carikan bilangan buku yang ditanda pada hari Khamis.
A 14 B 30 C 60 D 210
Mathematics Module
Modul Selia Bantu PPSMI 386
33 Diagram 11 shows a combination of four equilateral triangles of equal size. Rajah 11 menunjukkan gabungan empat segitiga sama sisi yang sama besar. Diagram 11 Rajah 11 Perimeter of one equilateral triangle is 18 cm. Calculate the perimeter, in cm,
of the whole diagram. Perimeter sebuah segitiga sama sisi ialah 18 cm. Hitung perimeter, dalam
cm, seluruh rajah . A 36 B 42 C 48 D 54 34. Diagram 12 consists of squares of equal size. Rajah 12 mengandungi beberapa segiempat sama yang sama besar. Diagram 12 Rajah 12 Calculate the area, in cm² , of the shaded region. Hitung luas, dalam cm² , kawasan berlorek. A 18 B 36 C 72 D 144
2 cm
Mathematics Module
Modul Selia Bantu PPSMI 387
35. Table 3 shows the number of beads in a box. Jadual 3 menunjukkan bilangan manik dalam sebuah kotak.
Bead Number Red 10 Blue 12
Green 14 Yellow 4
Table 3 Jadual 3 Which of the following pie charts represents the data in Table 3? Antara berikut yang manakah mewakili data pada Jadual 3? A
B
C
D
20%
15%
35%
30%
Blue 35%
Red 20%
Green 35%
Yellow 10%
Blue 30%
Red 25%
Green 30%
Yellow 15%
Blue 30%
Red 25%
Green 35%
Yellow 10%
Mathematics Module
Modul Selia Bantu PPSMI 388
36 Diagram 13 shows a combination of two cuboids. Rajah 13 menunjukkan gabungan dua buah kuboid. Diagram 13 Rajah 13 The shaded area of region P is 8 cm². The shaded area Q is 2 times the
shaded area P. Calculate the total volume, in cm³ , of the two cuboids . Luas kawasan berlorek P ialah 8 cm². Luas kawasan berlorek Q adalah 2 kali
luas kawasan berlorek P. Hitung jumlah isipadu , dalam cm³ , kedua-dua kuboid itu.
A 80 B 176 C 192 D 272 37. Jenny bought 6 kg of flour. She used the flour to bake 6 cakes. For each cake
she used between 850g and 900 g of flour. Estimate the mass, in g, of the remaining flour.
Jenny membeli 6 kg tepung. Dia menggunakan tepung itu untuk membuat 6
biji kek. Setiap kek memerlukan antara 850 g hingga 900 g tepung. Anggarkan berat, dalam g, baki tepung yang tinggal .
A 400 B 500 C 700 D 1 200
P
Q
12 cm
10 cm
Mathematics Module
Modul Selia Bantu PPSMI 389
38. Diagram 14 consists of squares of equal size. Rajah 14 mengandungi beberapa segiempat sama yang sama besar. Diagram 14 Rajah 14 Aqilah wants to shade 40% of the diagram green, 15% red, 35% blue and the
rest is yellow. Which of the following statements is not true? Aqilah mahu melorekkan 40% daripada rajah itu dengan hijau, 15% merah,
35% biru dan bakinya dilorek kuning. Antara pernyataan berikut yang manakah tidak benar ?
A There are 4 yellow squares B There are 6 red squares C There are 14 blue squares D There are 18 green squares. 39. Table 4 shows the time taken by four pupils to finish their drawings Jadual 4 menunjukkan masa yang diambil oleh empat orang murid untuk
menghabiskan lukisan masing-masing.
Pupils Time Yong 1 hour 55 minutes Rafi
1 23 hours
Haziq 15 minutes more than Yong’s time
Raju 10 minutes less than Rafi’s time Table 4 Jadual 4 All of them started their drawing at 10.15 a.m. Who managed to finish their
drawing after 12.00 p.m? Mereka memulakan melukis pada pukul 10.15 a.m. Siapakah yang
menyiapkan luksian selepas pukul 12.00 p.m. A Yong only B Haziq only C Rafi and Raju only D Yong and Haziq only
Mathematics Module
Modul Selia Bantu PPSMI 390
40. The incomplete bill in Diagram 15 shows the items bought by Hisham.
Bil yang tidak lengkap pada Rajah 15 menunjukkan barang yang dibeli oleh Hisham.
Quantity Kuantiti
Item Barang
Price per Unit Harga seunit
Price Harga
2 bottles Juice P RM3.90 3 boxes Juice
Q RM7.90 RM23.70
4 bottles Juice R RM12.50 Total
Diagram 15 Rajah 15
Hisham paid the bill with 2 pieces of RM50 note. How much is the balance ? Hisham membayar dengan 2 keping duit RM50. Berapakah baki wangnya ? A RM18.50 B RM19.50
C RM80.50 D RM81
KERTAS UJIAN TAMAT
Mathematics Module
Modul Selia Bantu PPSMI 391
ANSWER KEYS PAPER 1
SET 3
BIL SET3 1 C 2 D 3 C 4 D 5 C 6 A 7 B 8 A 9 A
10 A 11 B 12 B 13 D 14 B 15 D 16 C 17 A 18 C 19 B 20 B 21 B 22 D 23 B 24 A 25 B 26 D 27 B 28 D 29 A 30 B 31 C 32 B 33 A 34 C 35 D 36 D 37 C
Mathematics Module
Modul Selia Bantu PPSMI 392
38 D 39 D 40 A
GENERAL INSTRUCTIONS
1) This text paper consists of 20 questions.
2) Answer all the question.
3) Show the steps involved in calculating the answer.
SET 3
MATHEMATICS
PAPER 2 40 MINUTES
Mathematics Module
Modul Selia Bantu PPSMI 393
1 1M
Diagram 1 shows several number cards. Rajah 1 menunjukkan beberapa kad nombor. Construct any four digit numbers with 8 representing the value of hundred. Binakan sebarang nombor 4 digit dengan 8 mewakili nilai ratus.
2 1M
Convert 59% to a decimal. Tukarkan 59% kepada perpuluhan.
3 1M
Write in numerals. Tuliskan dalam angka.
4 1M
Diagram 2 consists of several squares of equal size. Rajah 2 mengandungi beberapa segiempat sama yang sama besar.
What fraction of the whole diagram is shaded. Berapakah pecahan kawasan berlorek daripada seluruh rajah.
5.
Diagram 3 shows the volume of water in a container. Rajah 3 menunjukkan isipadu air dalam sebuah bekas. State the volume , in ml , of the water in the container Nyatakan isipadu, dalam ml, air dalam bekas itu.
9 5 0 8
Diagram 1 Rajah 1
Four point zero two five Empat perpuluhan kosong dua lima
500 ml
1000 ml
Diagram 3 / Rajah 3
Diagram 2 Rajah 2
Mathematics Module
Modul Selia Bantu PPSMI 394
1M
6. 2M
763 + 2 876 ― 997 =
7. 2M
RM55 ― RM13.75 + 80 sen =
8. 2M
256 ÷ 8 × 21 =
9.
12 + 58 =
State the answer in mixed numbers. Nyatakan jawapan dalam nombor bercampur.
Mathematics Module
Modul Selia Bantu PPSMI 395
2M
10. 2M
( 130 ― 97 ) × 8 =
11. 2M
25 minutes + 38 minutes = State the answer in hours and minutes. 25 minit + 38 minit = Nyatakan jawapan dalam jam dan minit.
12. 2M
3600 g ÷ 4 = State the answer in kg . Nyatakan jawapan dalam kg.
13.
45 + 11.2 + 7.65 =
Mathematics Module
Modul Selia Bantu PPSMI 396
2M 14. 2M
Diagram 4 shows a solid. Rajah 4 menunjukkan sebuah pepejal. a) State the name of the solid. Nyatakan nama pepejal itu. b) Find the number of flat surfaces the solid has. Carikan bilangan permukaan rata pepejal itu.
15. 2M
Diagram 5 shows a cuboid. Rajah 5 menunjukkan sebuah kuboid. Calculate the volume, in cm³ , of the cuboid. Hitung isipadu, dalam cm³ , kuboid itu.
16. 3M
Diagram 6 shows 3 number cards. Rajah 6 menunjukkan 3 kad nombor. Calculate the average of the number cards. Hitung purata bagi kad-kad tersebut.
17. 3M
Diagram 7 consists of several pictures. Rajah 7 mengandungi beberapa gambar. What is the percentage of picture from the whole diagram ? Berapakah peratus gambar ‘ ‘ daripada semua gambar ?
10 0.7 8.23
0.5 cm
12 cm
8 cm
Diagram 7 Rajah 7
Diagram 6 Rajah 6
Diagram 5 Rajah 5
Diagram 4 Rajah 4
Mathematics Module
Modul Selia Bantu PPSMI 397
18. 3M
Table 1 shows the number of pupils in three classes. Jadual 1 menunjukkan bilangan murid dalam tiga buah kelas.
Class Kelas
The number of pupils Bilangan murid
Pintar 39 Bestari 26 Cerdik 25
52
of the total pupils come from village X and the rest come from village Y.
How many pupils come from village Y? 25 daripada semua murid itu datang dari Kampung X dan bakinya datang dari
Kampung Y. Berapakah bilangan murid yang datang dari kampong Y?
19. 3M
Diagram 8 shows the price of a book and a pen. Rajah 8 menunjukkan harga sebuah buku dan sebatang pen. Lina has RM20 . She buys 4 books and 3 pens. How much is her balance? Lina ada RM20. Dia membeli 4 buah buku dan 3 batang pen. Berapakah baki wangnya ?
20. 3M
Ani prepares 4.2 l of syrup. She pours the syrup into three jugs . The first jug contains 1.6 l of syrup. The second and third jug have the same volume of syrup. How much is the volume of syrup , in ml, in the third jug ? Ani membuat 4.2 l air sirap. Dia menuang ke dalam tiga buah jug. Jug pertama berisi 1.6 l air sirap. Jug kedua dan ketiga mempunyai isipadu yang sama.. Berapakah isipadu air sirap, dalam ml, bekas ketiga?
RM4.20 60 sen
Table 1 Jadual 1
Diagram 8 Rajah 8
Mathematics Module
Modul Selia Bantu PPSMI 398
ANSWER KEY
PAPER 2 SET 3
Q SET 3 1 9850 2 0.59 3 4.025 4 3
8
5 200 ml 6 2642 7 RM 42.05 8 672 9
118
10 264 11 1 hour 3 minutes 12 0.9 kg 13 63.85 14 a. prism
b. 5 15 48 cm3 16 6.31 17 35% 18 54 19 80 sen 20 1300 ml
KERTAS UJIAN TAMAT
Mathematics Module
Modul Selia Bantu PPSMI 399
Individual Score Marks
Set 1 Set 2 Set 3 No Name P1 P2 T P1 P2 T P1 P2 T Remark
Teacher remark : ……………………………………………………………………………………… ……………………………………………………………………………………… …………………………….