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Free quantitative reasoning worksheet, grade 5 (ages 10–11, UK Year 6)

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.

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Quantitative reasoning worksheet, grade 5 (ages 10–11, UK Year 6)

Name: ____________________

  1. 1.

    7 9 14 22 33 ____

    • A33
    • B35
    • C38
    • D44
    • E47

  2. 2.

    8 becomes 32, 16 becomes 64, so 2 becomes ____

    • A6
    • B8
    • C10
    • D32
    • E64

  3. 3.

    3 becomes 15, 15 becomes 75, so 2 becomes ____

    • A10
    • B11
    • C12
    • D15
    • E75

  4. 4.

    5 becomes 25, 11 becomes 55, so 20 becomes ____

    • A25
    • B55
    • C80
    • D99
    • E100

  5. 5.

    If 87 + 3 = 90, then 87 + 6 = ____

    • A87
    • B90
    • C91
    • D93
    • E96

  6. 6.

    88 becomes 22, 72 becomes 18, so 12 becomes ____

    • A3
    • B8
    • C18
    • D22
    • E48

  7. 7.

    If 37 + 30 = 67, then 34 + 30 = ____

    • A63
    • B64
    • C66
    • D67
    • E70

  8. 8.

    16 21 27 34 42 ____

    • A42
    • B47
    • C48
    • D50
    • E51

  9. 9.

    If 62 − 6 = 56, then 62 − 4 = ____

    • A55
    • B56
    • C58
    • D59
    • E72

  10. 10.

    5 7 17 35 61 ____

    • A61
    • B63
    • C71
    • D87
    • E95

Answers, and the rule behind each one

  1. 1. E — 47. Rule: the gap grows each time. The gap between numbers starts at 2 and grows by 3 every step.
  2. 2. B — 8. Rule: multiply by the same number each time. 8 times 4 is 32. 2 times 4 is 8 — the same rule both times.
  3. 3. A — 10. Rule: multiply by the same number each time. 3 times 5 is 15. 2 times 5 is 10 — the same rule both times.
  4. 4. E — 100. Rule: multiply by the same number each time. 5 times 5 is 25. 20 times 5 is 100 — the same rule both times.
  5. 5. D — 93. Rule: use the pattern, not just the numbers. 6 is 3 more than 3, so the answer is 3 more than 90 — that's 93. You don't have to work it out from scratch.
  6. 6. A — 3. Rule: divide by the same number each time. 88 divided by 4 is 22. 12 divided by 4 is 3 — the same rule both times.
  7. 7. B — 64. Rule: use the pattern, not just the numbers. 34 is 3 less than 37, so the answer is 64 rather than 67.
  8. 8. E — 51. Rule: the gap grows each time. The gap between numbers starts at 5 and grows by 1 every step.
  9. 9. C — 58. Rule: use the pattern, not just the numbers. 4 is 2 less than 6, and taking away less leaves more, so the answer is 58.
  10. 10. E — 95. Rule: the gap grows each time. The gap between numbers starts at 2 and grows by 8 every step.