MEP NUMERACY SUMMER SCHOOL LESSON A7
© CIMT, University of Exeter Lesson A7 – OHT 1 – Common Factors
COMMON FACTORS
7 10 12
15 18 24
30 35 40
MEP NUMERACY SUMMER SCHOOL LESSON A7
© CIMT, University of Exeter Lesson A7 – Activity Sheet 2 – Further EquivalentFractions
EQUIVALENT FRACTIONS
NAME ………………………………………..… DATE ….………….
A. Write down the Highest Common Factor of the numerator and denominator of these fractions.
1. 50 -------- 2. 4 -------- 3. 15 --------60 16 25
4. 35 -------- 5. 20 -------- 6. 12 --------49 60 36
7. 40 -------- 8. 30 -------- 9. 45 --------48 45 54
10. 36 --------72
MEP NUMERACY SUMMER SCHOOL LESSON A7
© CIMT, University of Exeter Lesson A7 – Activity Sheet 2 – Further EquivalentFractions
B. Fill in the missing numbers in each of these diagrams tosimplify the fractions.
÷ ÷
1. 4 = ___ 2. 9 = ___10 12
÷ ÷
÷ ÷
3. 15 = ___ 4. 14 = ___ 55 35
÷ ÷
÷ ÷
5. 18 = ___ 6. 18 = ___24 63
÷ ÷
÷ ÷
7. 30 = ___ 8. 120 = ___45 200
÷ ÷
÷ ÷
9. 54 = ___ 10. 66 = ___72 88
÷ ÷
MEP NUMERACY SUMMER SCHOOL LESSON A7
© CIMT, University of Exeter Lesson A7 – Activity Sheet 2 – Further EquivalentFractions
C. Fill in the missing numbers in each of these diagrams.
´7 ´10
1. 2 = ___ 2. 4 = ___ 3 5
´7 ´10
´ 4
3. 3 = ___ 4. 9 = 18 10 13
´4
´
5. 7 = 21 6. 5 = ___60 6 42
´
7. 2 = ___ 8. 1 = 6 9 63 20
9. 13 = 39 10. 17 = 51
MEP NUMERACY SUMMER SCHOOL LESSON A7
© CIMT, University of Exeter Lesson A7 – Activity Sheet 2 – Further EquivalentFractions
15 21
MEP NUMERACY SUMMER SCHOOL LESSON A7
© CIMT, University of Exeter Lesson A7 – Activity Sheet 2 – Further EquivalentFractions
34
FURTHER EQUIVALENT FRACTIONS
NAME ………………………………………..… DATE ….………….
Complete each of the diagrams so that the fractions in are equivalent to
those in
1. 2.
3. 4.
5. 6.
___ 12
___ 100
___ 40
___ 28
___18
___24
___36
___12
5 6
___64
2_
40
___2
4_ 8
___35
___21
_3_7
21
60
___60
3_15
___6
___60
16_24
___12
___3
___150
15
___5
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – OHT 1 – Fractions, Decimals and Percentages Number Line
FRACTIONS, DECIMALS AND PERCENTAGES NUMBER LINE
0.25
Decimal Fractions
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
0 4 10Tenths10 10 100
0 40 100Hundredths10 100 100
2Simplified Fractions 05
Percentages
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Activity Sheet 2 – Fractions, Decimals and Percentages Number Line
FRACTIONS, DECIMALS AND PERCENTAGES NUMBER LINE
NAME ………………………………………..… DATE ….………….
0.25
Decimal Fractions
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
0 4 10Tenths10 10 100
0 40 100Hundredths10 100 100
2Simplified Fractions 05
Percentages
MEP NUMERACY SUMMER SCHOOL
LESSON A8
© CIMT, University of Exeter Lesson A8 – Activity Sheet 2 – Fractions and Decimals
FRACTIONS AND DECIMALS
NAME ………………………………………..… DATE ….………….
A. Write these numbers in order starting with the smallest.
1. 0.5 , 0.3 , 0.1 , 0.8 , 0.4 . -------------------------------------------------------
2. 1.35 , 1.53 , 3.51 , 3.15 , 5.13 . -------------------------------------------------------
3. 2.9 , 2.37 , 2.05 , 2.5 , 2.53 . ------------------------------------------------------
Write these numbers in order starting with the biggest.
4. 0.9 , 1.0 , 2.1 , 1.5 , 1.8 . ------------------------------------------------------
5. 3.56 , 3.65 , 5.63 , 5,36 , 6.35 . ------------------------------------------------------
6. 7.83 , 7.08 , 7.9 , 7.95 , 7.3. ------------------------------------------------------
MEP NUMERACY SUMMER SCHOOL
LESSON A8
© CIMT, University of Exeter Lesson A8 – Activity Sheet 2 – Fractions and Decimals
B. Fill in the boxes in each diagram.
In write a fraction in the simplest form.
In write a fraction in tenths ? 10
In write a fraction in hundredths ? 100
In write a decimal number.
1. 5
0.5 10
1 2
50 100
2.
0.75
3 4
75
100
3.
0.45
9 20
45 100
4.
3 20
5.
1 4
6.
35 100
MEP NUMERACY SUMMER SCHOOL
LESSON A8
© CIMT, University of Exeter Lesson A8 – Activity Sheet 2 – Fractions and Decimals
7.
0.65
8.
95 100
9.
1.0
10. 2 10
11.
2 5
12.
0
13.
11 20
14.
80 100
15. 3
10
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
0.6
0.4
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
0.8
0.3
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
1.0
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
0.65
0.56
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
0.9
0.87
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
0.37
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
2.36
2.63
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
3.26
3.62
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
6.32
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
5.1
5.12
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
5.3
5.92
MEP NUMERACY SUMMER SCHOOL LESSON A8
© CIMT, University of Exeter Lesson A8 – Decimal Number Cards
5.08
MEP NUMERACY SUMMER SCHOOL LESSON A9
© CIMT, University of Exeter Lesson A9 – OHT 1 – Decimal Number Square
DECIMAL NUMBER SQUARE
0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0.10 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19
0.13 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29
0.30 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39
0.40 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49
0.50 0.51 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59
0.60 0.61 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69
0.70 0.71 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79
0.80 0.81 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89
0.90 0.91 0.92 0.93 0.94 0.95 0.96 0.97 0.98 0.99 1.00
MEP NUMERACY SUMMER SCHOOL LESSON A9
© CIMT, University of Exeter Lesson A9 – Activity Sheet 1– Addition and Subtraction of Decimals
ADDITION AND SUBTRACTION OF DECIMALS
NAME ………………………………………..… DATE ….………….
A. Using the 0.00 to 1.00 square fill in the missing numbers.
1. 2.
0.13 0.36
0.22 0.24 0.45 0.47
0.33 0.56
3. 4.
0.67 0.02
0.76 0.78 0.13
0.87 0.22
5. 6.
0.59
0.99
MEP NUMERACY SUMMER SCHOOL LESSON A9
© CIMT, University of Exeter Lesson A9 – Activity Sheet 1– Addition and Subtraction of Decimals
B. Work out the answers to these questions in your head.
1. 0.55 − 0.32 = 2. 0.97 − 0.65 =
3. 0.27 − 0.13 = 4. 0.67 + 0.23 =
5. 0.14 + 0.79 = 6 0.35 + 0.51 =
Underneath each question, write the calculation in columns and thenwork out the answer.
7. 2 3 . 6 + 3 1 . 5 + 8 . 2 8. 1 7 3 . 8 − 6 2 . 5
9. 2 3 0 . 4 − 1 8 7 . 6 10. 6 . 9 + 1 2 . 8 2 + 43