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SULIT 50/1 50/1Matematik Kertas 1 November 2009
jam
PEPERIKSAAN AKHIR TAHUN 2009
MATEMATIK TINGKATAN SATU
Kertas 1Satu Jam Lima Belas Minit
DO NOT OPEN THE QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO
1. Kertas soalan ini adalah dalam dwi bahasa .2. Soalan dalam bahasa Inggeris mendahului soalan yang sepadan dalam bahasa Melayu. .
INFORMATION FOR CANDIDATES
1. This question paper consists of 40 questions.
2. Answer all questions.
3. Each question is followed by four alternative answers, A, B, C or D. For each question, choose one answer only. Blacken your answer on the objective answer sheet provided.
4. If you wish to change your answer, erase the blackened mark that you have made. Then blacken the new answer.
5. The diagrams in the questions provided are not drawn to scale unless stated.
6. A list of formulae is provided.
7. You may use a non-programmable scientific calculator
Kertas soalan ini mengandungi 17 halaman bercetak
MATHEMATICAL FORMULAE
The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.
RELATIONS
1 am x an = am + n
2. am ÷ an = am – n
3 (am)n = amn
4 Distance =
5 Midpoint (x, y) =
6 Average speed =
7 Mean =
8 Pythagoras Theorem
c2 = a2 + b2
SHAPE AND SPACE
1 Area of rectangle = length width
2 Area of triangle = base height
3 Area of parallelogram = base height
4 Area of trapezium = sum of parallel sides height
@ PKPSM Cawangan Pahang 2009
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5 Circumference of circle = πd = 2πr
6 Area of circle = πr2
7 Curved surface area of cylinder = 2πrh
8 Surface area of sphere = 4πr2
9 Volume of right prism = cross sectional area length
10 Volume of cuboids = length width height
11 Volume of cylinder = πr2h
12 Volume of cone = πr2h
13 Volume of sphere = πr3
14 Volume of right pyramid = base area height
15 Sum of interior angles of a polygon = (n – 2) 180o
16 =
17 =
18 Scale factor, k =
19 Area of image = k2 area of object
@ PKPSM Cawangan Pahang 2009
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Instruction: This question paper consists of 40 questions. Answer all questions. Each
question is followed by four choices of answers A, B, C and D. For each question, choose
one answer only. The diagrams in the questions provided are not drawn to scale unless
stated.
Arahan : Kertas soalan ini mengandungi 40 soalan. Jawab semua soalan. Setiap soalan
diikuti oleh empat pilihan jawapan iaitu A, B, C dan D. Untuk setiap soalan, pilih satu jawapan sahaja. Gambarajah yang disediakan dalam setiap soalan tidak dilukiskan
mengikut skala kecuali dinyatakan.
1 Find the place value of the digit 8 in 68 320
Cari nilai tempat bagi digit 8 dalam 68 320
A Thousands
Ribu
B Ten thousands
Puluh ribu
C Hundreds
Ratus
D Eight thousand
Lapan ribu
2 There are 18 male students and 13 female students in Form 1 Anggerik. Each male
student pays RM8 for the sports T-shirt whereas the female student pays
RM11.Calculate the total payment.
Terdapat 18 murid lelaki dan 13 murid perempuan di Tingkatan 1 Anggerik. Setiap
murid lelaki membayar RM 8 untuk baju sukan dan setiap murid perempuan
membayar RM11 untuk baju sukan. Kira jumlah bayaran mereka.
A RM288
B RM287
C RM290
D RM350
@ PKPSM Cawangan Pahang 2009
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3 Which of the following is not a factor of 120?
Yang mana bukan faktor bagi 120?
A 8
B 12
C 18
D 24
4 Find the HCF of 42 and 63.
Cari FSTB bagi 42 dan 63.
A 63
B 9
C 7
D 21
5 Write as a decimal.
Tulis sebagai nombor perpuluhan
A 0.027
B 0.27
C 2.7
D 0.0027
6 Express as a percentage.
Nyatakan sebagai peratus.
A 30%
B 37.5%
C 80%
D 0.375%
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7 Evaluate
Cari nilai
A 2.555
B 3.05
C 2.0555
D 3.055
8 The selling price of ikan tenggiri is RM6 per kg. One week later, the price increased
to RM7.50 per kg. Find the percentage of increase.
Harga jualan ikan tenggiri ialah RM6 per kg. Satu minggu kemudian, harga telah
meningkat kepada RM7.50 per kg. Cari peratus tambahan kenaikan harga..
A 20%
B 25%
C 0.2%
D 0.25%
9 Evaluate 10.94 × 2.7 and correct your answer to two decimal places.
Cari nilai 10.94 × 2.7 dan beri jawapan tepat kepada dua tempat perpuluhan
A 29.53
B 29.538
C 29.55
D 29.54
@ PKPSM Cawangan Pahang 2009
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10 Which of the following fraction is not an improper fraction?
Di antara pecahan berikut, yang manakah pecahan tak wajar?
A
B
C
D
11 Which of the following product is not equal to 72?
Hasil darab yang manakah tidak sama nilai dengan 72?
A 4 × 18
B 2 × 36
C 6 × 13
D 8 × 9
12 Round off 7524 kg to the nearest tonne.
Bundarkan 7524 kg kepada tan yang terhampir.
A 75
B 80
C 8
D 7
@ PKPSM Cawangan Pahang 2009
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13 From the following statements, choose the statement is which the x represents an
unknown.
Diantara pernyataan berikut, pilih pernyataan di mana x mewaikili anu.
A Weng Keat has RM500 in saving account of Bank x
Weng Keat mempunyai RM500 di dalam akaun simpanan di Bank x
B Razali completes his homework in x minutes.
Razali menyiapkan kerja rumahnya dalam x minit
C School x has 1527 students.
Sekolah x mempunyai 1527 murid
D Nathan takes part in event x.
Nathan mengambil bahagian dalam acara x.
14 Nazri attends the football training session for 1 hour 20 minutes daily. Calculate the
total time spent by him in training from Monday to Friday.
Nazri menghadiri latihan bola sepak selama 1 jam 20 minit setiap hari. Hitung
jumlah masa yang dia gunakan untuk latihan bola sepak daripada hari Isnin ke hari
Jumaat.
A 7 hours 20 minutes
7 jam 20 minit
B 6 hours 40 minutes
6 jam 40 minit
C 5 hours 56 minutes
5 jam 56 minit
D 8 hours 10 minutes
8 jam 10 minit
@ PKPSM Cawangan Pahang 2009
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Diagram 1 / Rajah 1
What is the shape of the solid geometry as shown in Diagram 1?
Apakah bentuk pepejal geometri yang ditunjukkan dalam Rajah 1
A Cuboid
Kuboid
B Cube
Kiub
C Cylinder
Silinder
D Sphere
Sfera
16
In Diagram 2, PQR is a straight line. Which line is perpendicular to the line PQR?
Dalam Rajah 2, PQR ialah garis lurus. Garis manakah adalah berserenjang
kepada garis PQR?
A BQ
B PQ
C AQ
D CQ
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P R
30°60°
40°Q
B A
Diagram 2Rajah 2
5 cm
5 cm
5 cm
17
In Diagram 3, PQR is a straight line. The value of x + y is
Dalam Rajah 3, PQR ialah garis lurus. Nilai bagi x + y ialah
A 65°
B 85°
C 95°
D 75°
18
Diagram 4 / Rajah 4
In Diagram 4, ABCD is a square and ADE is an equilateral triangle. Find its
perimeter, in cm.
Dalam Rajah 4, ABCD ialah segiempat sama. ADE ialah segitiga sama sisi.
Cari perimeternya, dalam cm.
A 18
B 24
C 30
D 36
@ PKPSM Cawangan Pahang 2009
105° X y
P Q R
Diagram 3Rajah 3
10
B A 6cm E C D
19 There is 6.3 liters of water in the tub. All of the water is poured into a cuboid
container. If the length and width of the cuboid container are 21 cm and 20 cm
respectively, find the height, in cm, of the water level in the container.
Terdapat 6.3 liter air dalam tangki. Kesemua air itu dituangkan ke dalam bekas
berbentuk kuboid. Diberi panjang dan lebar bekas kuboid itu ialah masing-masing
21 cm dan 20 cm, cari tinggi, dalanm cm, bagi paras air dalam bekas itu.
A 12
B 13
C 14
D 15
20 Which of the following pairs of term are like terms?
Antara pasangan sebutan berikut, yaag manakah ialah sebutan serupa?
A 3p,
B pq2 , p2
C - 5x ,
D r,10
21
Diagram 5
Rajah 5
State the number of lines of symmetry for the figure as shown in diagram 5.
Nyatakan bilangan garis simetri bagi bentuk dalam Rajah 5.
A 0
B 1
C 2
D 3@ PKPSM Cawangan Pahang 2009
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22 State the three prime numbers which are greater than 28.
Nyatakan tiga nombor perdana yang lebih besar daripada 28.
A 29, 31, 33
B 29, 31, 37
C 29, 31, 35
D 29, 35, 37
23 Which of the following fraction is not equivalent to ?
Antara pecahan berikut, yang manakah tidak sama dengan ?
A
B
C
D
24 The price of 5.5 m cloth for sewing curtains is RM47.52. Find the price of 1m of such
cloth.
Harga bagi 5.5 m kain untuk menjahit langsir ialah RM47.52. Cari harga bagi 1 m
kain itu.
A RM8.84
B RM8.74
C RM8.60
D RM8.64
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25 Find the value of
Cari nilai bagi
A
B
C
D
26 Choose the integer from the numbers below.
Pilih integer daripada nombor-nombor berikut.
A 0
B
C 3.2
D
27 Which of the following is not a polygon?
Antara berikut, yang manakah bukan polygon?
A C
B D
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28
Diagram 6 / Rajah 6
In Diagram 6 above, find the value of x
Dalam Rajah 6, cari nilai x
A 30º
C 90º
B 60º
D 45º
29 The Science examination lasts for 1 hour 15 minutes. If the examination ends at
0955, state the time in 24 hour system, the starting time of the examination.
Peperiksaan Sains adalah selama 1 jam 15 minit. Jika peperiksaan itu tamat pada
0955, nyatakan masa, dalam sistem 24 jam, peperiksaan itu bermula. .
A 0810
B 0820
C 0830
D 0840
30
Diagram 7 / Rajah 7
Diagram 7 above shows a number line. Find the value of (p + q).
Rajah 7 menunjukkan garis nombor. Cari nilai bagi (p + q).
A -14
B 14
C 16
D -16
31 Pilih faktor perdana bagi 45.
A 3, 5 and 9
B 3 and 5
C 1, 3 and 5@ PKPSM Cawangan Pahang 2009
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xº
-16 p -8 q 4
D 3, 5 and 45
32 Nikki is 1 m 68 cm tall and her sister is 129 cm tall. Find the difference between their
heights, in cm.
Ketinggian Nikki ialah 1 m 68 cm dan adiknya ialah 129 cm. Carikan beza
ketinggian mereka, dalam cm
A 29
B 39
C 49
D 33
33
Diagram 8 / Rajah 8
Calculate the area, in cm² of the shaded region in Diagram 8
Kirakan luas, dalam cm², bagi kawasan berlorek dalam Rajah 8
A 32
B 64
C 96
D 128
34 Evaluate
Cari nilai
A
B
C
D
35
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8 cm
x + 2
x + 1
2x + 3
Diagram 9 / Rajah 9
Diagram 9 shows a triangle. Find the perimeter of the triangle.
Rajah 9 menunjukkan sebuah segitiga. Carikan perimeter segitiga tersebut.
A 4x + 5
B 4x + 6
C 3x + 6
D x + 2
36 The LCM of 4, 6 and x is 48.What is the possible value of x?
GSTK bagi 4, 6 dan x ialah 48.Apakah nilai yang mungkin bagi x?
A 18
B 24
C 12
D 16
37 Which of the following is an acute angle?
Antara yang berikut, yang manakah sudut tirus?
A 88°
B 92°
C 157°
D 188°
38 The place value of digit 8 in 2.384 is
Nilai tempat bagi digit 8 dalam nombor 2.384 ialah
A unit / unit
B tenths / persepuluh
C hundredths / perseratus
D thousandths / Perseribu
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39
Diagram 10 / Rajah 10
Calculate the area, in cm2, of the shaded region.
Kira luas bagi kawasan berlorek, dalam cm2
A 144
B 90
C 54
D 36
40
Diagram 11 / Rajah 11
In Diagram 11, find the value of x
Dalam Rajah 11, cari nilai bagi x
A 47º
C 67º
B 57º
D 77º
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93° 125°
8° x
8 cm
18 cm