Free quantitative reasoning worksheet, grade 4 (ages 9–10, UK Year 5)

10 puzzles on page one, the answers and the rules on page two. Ask your child to say the rule before you check it — that’s the part that sticks.

Quantitative reasoning worksheet, grade 4 (ages 9–10, UK Year 5)

Name: ____________________

Answers, and the rule behind each one

1. E — 50. Rule: add the same number each time. 7 plus 8 is 15. 42 plus 8 is 50 — the same rule both times.
2. B — 20. Rule: add the same number each time. 28 plus 5 is 33. 15 plus 5 is 20 — the same rule both times.
3. E — 31. Rule: the gap grows each time. The gap between numbers starts at 1 and grows by 2 every step.
4. C — 45. Rule: add the same number each time. 30 plus 5 is 35. 40 plus 5 is 45 — the same rule both times.
5. E — 32. Rule: add, then subtract, then add again. The pattern adds 8, then subtracts 6, and repeats.
6. E — 6. Rule: use the pattern, not just the numbers. 3 is 1 less than 4, and taking away less leaves more, so the answer is 6.
7. E — 48. Rule: add the same number each time. 6 plus 6 is 12. 42 plus 6 is 48 — the same rule both times.
8. D — 33. Rule: the gap grows each time. The gap between numbers starts at 1 and grows by 2 every step.
9. E — 28. Rule: use the pattern, not just the numbers. 4 × 4 is 16, so 4 × 7 is 28.
10. D — 59. Rule: use the pattern, not just the numbers. 53 is 1 more than 52, so the answer is 59 rather than 58.