1. Fractions Year 6+

3. Count back 4/3 from 2. -2 2 -1 1 2 3 1 3 2 3 1 1 2

4. Count on 5/3 from -1/3. -2 2 -1 1 1 3 1 3 - 1 3 2 3 1 1

5. Count back 5/8 from 3/8. -1 1 2 8 - 1 8 - 1 8 2 8 3 8

6. Count on 7/8 from -4/8. -1 1 4 8 - 3 8 - 2 8 - 1 8 - 1 8 2 8 3 8

8. 2
12 ÷ 2 = 6 of 30 = 12 5
6 x 5 = 30

9. 5
20 ÷ 5 = 4 of 24 = 20 6
4 x 6 = 24

10. 3
30 ÷ 3 = 10 of 40 = 30 4
10 x 4 = 40 2
24 ÷ 2 = 12 of 36 = 24 3
12 x 3 = 36 3
90 ÷ 3 = 30 of
150 = 90 5
30 x 5 = 150

12. 1 3 1 3
1 x 1
3 x 3 1 9
x = =

13. 3 5 1 4
3 x 1
5 x 4 3 20
x = =

14. 7 10 1 2
7 x 1
10 x 2 7 20
x = =

16. 2 3 2 3
2 x 2
3 x 3 4 9
x = =

17. 3 5 3 4
3 x 3
5 x 4 9 20
x = =

19. 3 4 8 9
3 x 8
4 x 9 24 36 2 3
x = = = 5 12 3 10
5 x 3
12 x 10 15
120 3 24 1 8
x = = = = 7 10 5 10
7 x 5
10 x 10 35
100 7 20
x = = =

21. 3 4 1 8 9 2 2 3
x = 1 3 5 12 1 3 10 1 1 8
x = 4 2 7 10 5 10 1 7 20
x = 2

23. 1 3 1
3 x 3 1 9
÷ 3 = =

24. 3 5 3
5 x 4 3 20
÷ 4 = =

25. 7 10 7
10 x 2 7 20
÷ 2 = =

27. 1 5 2 5 3 10
Which number lies halfway between and ? x2 x2 1 5 2 2 5 4 = = 10 10 x2 x2

28. 1 5 2 5 3 10
Which number lies halfway between and ? 1 5 3 10 2 5

29. 2 3 3 4 17 24
Which number lies halfway between and ? x4 x2 x3 x2 2 8 16 3 9 18 = = = = 3 12 24 4 12 24 x4 x2 x3 x2

30. 2 3 3 4 17 24
Which number lies halfway between and ? 2 3 17 24 3 4

31. 3 4 9 10 33 40
Which number lies halfway between and ? x5 x2 x2 x2 3 15 30 9 18 36 = = = = 4 20 40 10 20 40 x5 x2 x2 x2