🏆 Grade 3 · Exam Paper 3

Challenge Paper  |  40 marks  |  45 minutes
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🏆 Challenge Paper — Calculator allowed where helpful!
Section A – Number & Reasoning (13 marks)

1. Write in figures: seven hundred and six.[1]

2. What is 100 more than 899?[1]

3. Round 648 to the nearest 100.[1]

4. Find the missing number: 400 + ___ + 7 = 487[1]

5. A number is multiplied by 4 giving 52. What is the number?[1]

6. Eggs are packed 6 to a box. How many boxes are needed for 54 eggs?[1]

boxes

7. Write the next two terms in the sequence: 5, 10, 20, 40, ___, ___[1]

,

8. A bag of rice costs 89p. A loaf of bread costs £1.25. How much do both cost altogether?[1]

£

9. There are 7 rows of 9 chairs. 13 chairs are removed. How many are left?[2]

chairs
Find total first, then subtract

10. What are all the multiples of 4 up to 40? How many are there?[2]

multiples
  • Q1: 706
  • Q2: 999
  • Q3: 600
  • Q4: 80
  • Q5: 13
  • Q6: 9 boxes
  • Q7: 80, 160 (doubling)
  • Q8: £2.14
  • Q9: 7×9=63, 63−13=50 chairs
  • Q10: 4,8,12,16,20,24,28,32,36,40 → 10 multiples
Section B – Fractions & Measurement (12 marks)

11. What fraction of 30 is 10? Write in simplest form.[1]

12. 1/4 + 2/4 = [1]

13. 7/8 − 3/8 = [1]

14. Which is smaller: 1/3 or 1/4?[1]

15. 3/4 of a class of 28 pupils like maths. How many pupils is that?[1]

pupils

16. A recipe uses 250 g of flour. How much flour is needed for 4 batches?[1]

g

17. A bottle holds 2 litres. How many 250 ml glasses can it fill?[1]

glasses

18. A garden path is 6 m 50 cm long. Write this in centimetres.[1]

cm

19. A rope is 8 m long. It is cut into pieces of 50 cm each. How many pieces?[2]

pieces
Convert 8 m to cm first

20. Sam has 5/8 of a pizza. He eats 2/8 more. What fraction does he have left?[2]

Find total eaten, subtract from 1 (8/8)
  • Q11: 1/3
  • Q12: 3/4
  • Q13: 4/8 = 1/2
  • Q14: 1/4
  • Q15: 21 pupils
  • Q16: 1 000 g
  • Q17: 8 glasses
  • Q18: 650 cm
  • Q19: 8 m = 800 cm; 800 ÷ 50 = 16 pieces
  • Q20: He had 5/8. He already had that. He eats 2/8 more → total eaten from a whole = 5/8 + 2/8 = 7/8? Actually re-reading: he HAS 5/8, then eats 2/8 more from what he has. Left = 5/8 − 2/8 = 3/8
Section C – Geometry & Time (11 marks)

21. A rectangle has perimeter 32 cm. Its length is 10 cm. What is its width?[2]

cm

22. A square has perimeter 36 cm. What is its side length?[1]

cm

23. A shape has 5 faces, 9 edges and 6 vertices. What 3D shape is it?[1]

24. How many lines of symmetry does an equilateral triangle have?[1]

25. Angles in a triangle are x, 2x, and 90°. Find x.[2]

°
x + 2x + 90 = 180

26. A bus leaves at 08:25 and arrives at 10:10. How long is the journey?[2]

hours minutes

27. School starts at 08:50. Maths lasts 55 minutes, then break is 20 minutes. What time does break end?[2]

  • Q21: 2(10+w)=32 → 10+w=16 → w=6 cm
  • Q22: 36÷4=9 cm
  • Q23: Triangular prism
  • Q24: 3
  • Q25: 3x=90, x=30°
  • Q26: 1 hour 45 minutes
  • Q27: 08:50 + 55 min = 09:45 + 20 min = 10:05
Section D – Data & Probability (4 marks)

A spinner has 8 equal sections: 3 red, 2 blue, 2 green, 1 yellow.

28. What is the probability of spinning red? (as a fraction)[1]

29. Is landing on blue more or less likely than landing on red? Write: more / less[1]

30. What is the probability of NOT landing on yellow? (as a fraction)[1]

31. The spinner is spun 40 times. About how many times would you expect green?[1]

times
  • Q28: 3/8
  • Q29: less (2 blue vs 3 red)
  • Q30: 7/8
  • Q31: 2/8 × 40 = 10 times
⭐ Bonus Challenge (up to 4 bonus marks)

B1. I think of a number. I multiply it by 3, then add 12. The answer is 33. What was my number?[2]

Work backwards: 33−12=? then ÷3

B2. A square and a rectangle have the same perimeter of 40 cm. The rectangle is 12 cm long. What is the area of the square?[2]

cm²
  • B1: 33−12=21, 21÷3=7
  • B2: Rectangle P=40 → 2(12+w)=40 → w=8 cm. Square P=40 → side=10 cm. Area=100 cm²