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Free quantitative reasoning worksheet, grade 7 (ages 12–13, UK Year 8)

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 7 (ages 12–13, UK Year 8)

Name: ____________________

  1. 1.

    If 7 − 6 = 1, then 10 − 6 = ____

    • A0
    • B1
    • C2
    • D3
    • E4

  2. 2.

    14 − 8 − 1 = ____

    • A3
    • B4
    • C5
    • D6
    • E7

  3. 3.

    138 becomes 282, 15 becomes 36, so 93 becomes ____

    • A36
    • B192
    • C193
    • D198
    • E282

  4. 4.

    74 becomes 229, 128 becomes 391, so 90 becomes ____

    • A229
    • B270
    • C277
    • D291
    • E391

  5. 5.

    8 becomes 37, 71 becomes 289, so 66 becomes ____

    • A37
    • B71
    • C264
    • D269
    • E289

  6. 6.

    56 becomes 227, 38 becomes 155, so 49 becomes ____

    • A155
    • B199
    • C200
    • D208
    • E227

  7. 7.

    108 147 142 181 176 ____

    • A171
    • B176
    • C181
    • D215
    • E220

  8. 8.

    1184 592 296 148 74 ____

    • A37
    • B38
    • C72
    • D74
    • E76

  9. 9.

    33 + 39 − 17 = ____

    • A55
    • B56
    • C57
    • D72
    • E89

  10. 10.

    27 54 108 216 432 ____

    • A434
    • B648
    • C864
    • D1296
    • E1728

Answers, and the rule behind each one

  1. 1. E — 4. Rule: use the pattern, not just the numbers. 10 is 3 more than 7, so the answer is 4 rather than 1.
  2. 2. C — 5. Rule: two steps, in order. 14 − 8 is 6. Then 6 − 1 is 5.
  3. 3. B — 192. Rule: multiply by 2, then add 6. 138 times 2 is 276, plus 6 makes 282. 93 times 2 is 186, plus 6 makes 192.
  4. 4. C — 277. Rule: multiply by 3, then add 7. 74 times 3 is 222, plus 7 makes 229. 90 times 3 is 270, plus 7 makes 277.
  5. 5. D — 269. Rule: multiply by 4, then add 5. 8 times 4 is 32, plus 5 makes 37. 66 times 4 is 264, plus 5 makes 269.
  6. 6. B — 199. Rule: multiply by 4, then add 3. 56 times 4 is 224, plus 3 makes 227. 49 times 4 is 196, plus 3 makes 199.
  7. 7. D — 215. Rule: add, then subtract, then add again. The pattern adds 39, then subtracts 5, and repeats.
  8. 8. A — 37. Rule: divide by the same amount each time. Each number is the one before it divided by 2.
  9. 9. A — 55. Rule: two steps, in order. 33 + 39 is 72. Then 72 − 17 is 55.
  10. 10. C — 864. Rule: multiply by the same amount each time. Each number is 2 times the one before it.