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Free quantitative reasoning worksheet, grade 3 (ages 8–9, UK Year 4)

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 3 (ages 8–9, UK Year 4)

Name: ____________________

  1. 1.

    8 becomes 11, 9 becomes 12, so 2 becomes ____

    • A5
    • B6
    • C7
    • D11
    • E12

  2. 2.

    21 becomes 16, 15 becomes 10, so 14 becomes ____

    • A8
    • B9
    • C10
    • D16
    • E19

  3. 3.

    22 becomes 18, 8 becomes 4, so 10 becomes ____

    • A4
    • B6
    • C7
    • D14
    • E18

  4. 4.

    57 52 47 42 37 ____

    • A32
    • B33
    • C34
    • D35
    • E36

  5. 5.

    9 + ____ = 11

    • A0
    • B1
    • C2
    • D3
    • E20

  6. 6.

    9 becomes 12, 19 becomes 22, so 11 becomes ____

    • A12
    • B14
    • C15
    • D16
    • E22

  7. 7.

    3 6 9 12 15 ____

    • A18
    • B19
    • C20
    • D21
    • E22

  8. 8.

    16 + ____ = 17

    • A0
    • B1
    • C2
    • D3
    • E4

  9. 9.

    59 50 41 32 23 ____

    • A14
    • B15
    • C16
    • D17
    • E18

  10. 10.

    If 7 − 4 = 3, then 7 − 5 = ____

    • A2
    • B3
    • C4
    • D5
    • E16

Answers, and the rule behind each one

  1. 1. A — 5. Rule: add the same number each time. 8 plus 3 is 11. 2 plus 3 is 5 — the same rule both times.
  2. 2. B — 9. Rule: take away the same number each time. 21 take away 5 is 16. 14 take away 5 is 9 — the same rule both times.
  3. 3. B — 6. Rule: take away the same number each time. 22 take away 4 is 18. 10 take away 4 is 6 — the same rule both times.
  4. 4. A — 32. Rule: subtract the same amount each time. Each number is 5 less than the one before it. 37 minus 5 is 32.
  5. 5. C — 2. Rule: find the missing number. 9 + 2 makes 11. Check it: 9 + 2 = 11.
  6. 6. B — 14. Rule: add the same number each time. 9 plus 3 is 12. 11 plus 3 is 14 — the same rule both times.
  7. 7. A — 18. Rule: add the same amount each time. Each number is 3 more than the one before it. 15 plus 3 is 18.
  8. 8. B — 1. Rule: find the missing number. 16 + 1 makes 17. Check it: 16 + 1 = 17.
  9. 9. A — 14. Rule: subtract the same amount each time. Each number is 9 less than the one before it. 23 minus 9 is 14.
  10. 10. A — 2. Rule: use the pattern, not just the numbers. 5 is 1 more than 4, and taking away more leaves less, so the answer is 2.