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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