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CogAT Number Puzzles Practice

Number Puzzles questions appear in the CogAT quantitative battery at every grade level. Here is how they scale from grade 2 to high school.

Quantitative · Number Puzzle medium Grade 2

Question 1. What number goes in the box? 2 × ▢ = 6

  1. A2
  2. B4
  3. C3
  4. D5
  5. E6
Show answer & explanation
Answer: C — 3. 2 times the box equals 6, so the box is 6 ÷ 2 = 3.
Quantitative · Number Puzzle medium Grade 5

Question 2. What number goes in the box? ▢ ÷ 9 = 8

  1. A73
  2. B9
  3. C71
  4. D8
  5. E72
Show answer & explanation
Answer: E — 72. The box divided by 9 equals 8, so the box is 8 × 9 = 72.
Quantitative · Number Puzzle medium Grade 9

Question 3. What number goes in the box? ▢ × ▢ = 81 (both boxes are the same number)

  1. A8
  2. B10
  3. C81
  4. D9
  5. E11
Show answer & explanation
Answer: D — 9. A number times itself equals 81, so the number is 9.