Math 7 · Unit 7: Fractions · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Write each of these numbers as a product of two factors. All the answers are in the cloud: 3 × 3, 3 × 5, 2 × 2, 2 × 7, 2 × 5. The first one has been done for you: 6 = 2 × 3. Which list is right for 4, 10, 9, 15 and 14?

   • 4 = 2 × 2; 10 = 2 × 5; 9 = 3 × 3; 15 = 2 × 7; 14 = 3 × 5
   • 4 = 2 × 2; 10 = 2 × 5; 9 = 3 × 3; 15 = 3 × 5; 14 = 2 × 7
   • 4 = 2 × 5; 10 = 2 × 2; 9 = 3 × 3; 15 = 3 × 5; 14 = 2 × 7
   • 4 = 2 × 2; 10 = 3 × 3; 9 = 2 × 5; 15 = 3 × 5; 14 = 2 × 7
   Check

2. 2. Write each of these fractions as a product of two fractions. Use your answers to part a to help you. The first one has been done for you: 1/6 = 1/2 × 1/3. Which list is right for 1/4, 1/10, 1/9, 1/15 and 1/14?

   • 1/4 = 1/2 × 1/5; 1/10 = 1/2 × 1/2; 1/9 = 1/3 × 1/3; 1/15 = 1/3 × 1/5; 1/14 = 1/2 × 1/7
   • 1/4 = 1/2 × 1/2; 1/10 = 1/3 × 1/3; 1/9 = 1/2 × 1/5; 1/15 = 1/3 × 1/5; 1/14 = 1/2 × 1/7
   • 1/4 = 1/2 × 1/2; 1/10 = 1/2 × 1/5; 1/9 = 1/3 × 1/3; 1/15 = 1/3 × 1/5; 1/14 = 1/2 × 1/7
   • 1/4 = 1/2 × 1/2; 1/10 = 1/2 × 1/5; 1/9 = 1/3 × 1/3; 1/15 = 1/2 × 1/7; 1/14 = 1/3 × 1/5
   Check

3. 3. Question 2a: work out 1/2 × 18.

   • 9
   • 16
   • 36
   • 6
   Check

4. 4. Question 2b: work out 1/4 × 120 = 1/2 × 1/2 × 120. 120 ÷ 2 = 60, then 60 ÷ 2 = ?

   • 40
   • 60
   • 30
   • 480
   Check

5. 5. Question 2c: work out 1/6 × 90 = 1/2 × 1/3 × 90.

   • 30
   • 15
   • 540
   • 45
   Check

6. 6. Question 2d: work out 1/15 × 210 = 1/3 × 1/5 × 210.

   • 70
   • 42
   • 3150
   • 14
   Check

7. 7. Question 2e: work out 1/14 × 420 = 1/2 × 1/7 × 420.

   • 210
   • 60
   • 5880
   • 30
   Check

8. 8. Question 3a: which division would you find easier to do, A 96 ÷ 3 or B 96 ÷ 2? Work out the answer.

   • B: 96 ÷ 2 = 48
   • A: 96 ÷ 3 = 33
   • B: 96 ÷ 2 = 38
   • B: 96 ÷ 2 = 46
   Check

9. 9. Question 3b: which division would you find easier to do, A 84 ÷ 3 or B 84 ÷ 4? Work out the answer.

   • A: 84 ÷ 3 = 27
   • B: 84 ÷ 4 = 21
   • A: 84 ÷ 3 = 29
   • B: 84 ÷ 4 = 24
   Check

10. 10. Question 3c: which division would you find easier to do, A 90 ÷ 3 or B 90 ÷ 5? Work out the answer.

    • A: 90 ÷ 3 = 33
    • A: 90 ÷ 3 = 29
    • B: 90 ÷ 5 = 16
    • B: 90 ÷ 5 = 18
    Check

11. 11. Question 3d: which division would you find easier to do, A 126 ÷ 3 or B 126 ÷ 7? Work out the answer.

    • B: 126 ÷ 7 = 16
    • B: 126 ÷ 7 = 18
    • A: 126 ÷ 3 = 41
    • A: 126 ÷ 3 = 43
    Check

12. 12. Question 4a: work out 1/6 × 96 = 1/3 × 1/2 × 96.

    • 48
    • 32
    • 576
    • 16
    Check

13. 13. Question 4b: work out 1/12 × 84 = 1/3 × 1/4 × 84.

    • 28
    • 12
    • 21
    • 7
    Check

14. 14. Question 4c: work out 1/15 × 90 = 1/3 × 1/5 × 90.

    • 1350
    • 18
    • 6
    • 30
    Check

15. 15. Question 4d: work out 1/21 × 126 = 1/3 × 1/7 × 126.

    • 42
    • 18
    • 6
    • 7
    Check

16. 16. Question 5: match each fraction to its equivalent fraction.

    • 1/5
    • 2/5
    • 3/5
    • 4/5

    • 2/10
    • 8/10
    • 4/10
    • 6/10
    Check

17. 17. Question 6a: work out 1/5 × 90. Use 1/5 = 2/10.

    • 180
    • 45
    • 9
    • 18
    Check

18. 18. Question 6b: work out 2/5 × 80. Use 2/5 = 4/10.

    • 32
    • 200
    • 16
    • 40
    Check

19. 19. Question 6c: work out 3/5 × 70. Use 3/5 = 6/10.

    • 42
    • 116
    • 35
    • 21
    Check

20. 20. Question 6d: work out 4/5 × 60. Use 4/5 = 8/10.

    • 48
    • 75
    • 12
    • 24
    Check