Free quantitative reasoning worksheet, grade 6 (ages 11–12, UK Year 7)

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 6 (ages 11–12, UK Year 7)

Name: ____________________

Answers, and the rule behind each one

1. E — 115. Rule: multiply by the same number each time. 1 times 5 is 5. 23 times 5 is 115 — the same rule both times.
2. A — 72. Rule: use the pattern, not just the numbers. 8 is 1 less than 9, so the answer is 72 rather than 81.
3. D — 3. Rule: use the pattern, not just the numbers. 3 × 2 is 6, so 3 × 1 is 3.
4. B — 289. Rule: add the same amount each time. Each number is 39 more than the one before it. 250 plus 39 is 289.
5. D — 132. Rule: multiply by the same number each time. 12 times 6 is 72. 22 times 6 is 132 — the same rule both times.
6. A — 102. Rule: multiply by 2, then add 2. 93 times 2 is 186, plus 2 makes 188. 50 times 2 is 100, plus 2 makes 102.
7. C — 27. Rule: two steps, in order. 7 × 2 is 14. Then 14 + 13 is 27.
8. C — 896. Rule: multiply by the same amount each time. Each number is 2 times the one before it.
9. D — 60. Rule: add, then subtract, then add again. The pattern adds 20, then subtracts 7, and repeats.
10. D — 33. Rule: multiply by 3, then add 3. 1 times 3 is 3, plus 3 makes 6. 10 times 3 is 30, plus 3 makes 33.