**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?