Year 5 Maths Puzzles

### Key Objectives References

• Use symbols correctly, including less than (<), greater than (>), equals (=).

1. Which of these number sentences are true?

3 + 4 > 83 + 4 = 83 + 4 < 8

• Round any positive integer less than 1000 to the nearest 10 or 100.

2. Write a number between 70 and 80 which is nearer to 80 than to 70.

• Recognise simple fractions that are several parts of a whole, and mixed numbers; recognise the equivalence of simple fractions.

3. What fraction of this shape has been shaded : 1/2, 1/3, 1/4 or1/5 ?

• Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers.

4. Work out 36 + 25

• Carry out column addition and subtraction of two integers less than 1000, and column addition of more than two such integers.

5. Calculate 274

+ 318

• Know by heart facts for the 2, 3, 4, 5 and 10 multiplication tables.

6. What are eight 3s?

• Derive quickly division facts corresponding to the 2, 3, 4, 5 and 10 multiplication tables.

7. What is 32 divided by 4?

• Find remainders after division.

8. 38 sweets are shared equally between 5 children. How many sweets are left over?

• Know and use the relationships between familiar units of length, mass and capacity.

9. A potato weighs about 250 g. How many potatoes would there be in a 5 kg bag?

• Classify polygons, using criteria such as number of right angles, whether or not they are regular, symmetry properties.

10. Tick the shapes that have the same number of lines of symmetry

• Choose and use appropriate number operations and ways of calculating (mental, mental with jottings, pencil and paper) to solve problems.

11. There are 4 stacks of CDs. One stack has 6 CDs & the other three stacks have 4 CDs each. How many CDs are there altogether?

12. My favourite TV programme lasts for 40 minutes. It finishes at 6:15 p.m. At what time does it start?

• Use symbols correctly, including less than (<), greater than (>), equals (=).

13. If 35 <  < 45, what number could  be?

• Round any positive integer less than 1000 to the nearest 10 or 100.

14. Which hundred is nearest to 547?

• Recognise simple fractions that are several parts of a whole, and mixed numbers; recognise the equivalence of simple fractions.

15. Which of these fractions is equivalent to 1/3 ?

2/84/123/65/25

• Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers.

16. Work out 74 - 28

• Carry out column addition and subtraction of two integers less than 1000, and column addition of more than two such integers.

17. Calculate 683

- 249

• Know by heart facts for the 2, 3, 4, 5 and 10 multiplication tables.

18. What are nine 4s?

• Derive quickly division facts corresponding to the 2, 3, 4, 5 and 10 multiplication tables.

19. What is 24 divided by 3?

• Find remainders after division.

20. A class of 35 children are put into teams for sports day. Each team contains 4 children. How many children will be left?

• Know and use the relationships between familiar units of length, mass and capacity.

21. How many 20 cm pieces of leather can be cut from a belt measuring 3 m ?

• Classify polygons, using criteria such as number of right angles, whether or not they are regular, symmetry properties.

22. Which of these shapes is NOT a regular figure?

• Choose and use appropriate number operations and ways of calculating (mental, mental with jottings, pencil and paper) to solve problems.

23. There are 36 children in a class. ½ of them have brown eyes. ¼ of them have blue eyes. The rest of the class have green eyes. How many children have green eyes?