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Mensa IQ Numerical Reasoning and Arithmetic Flashcards

7 cards from real MENSA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. What is the next term: 1, 4, 9, 16, 25, 36, 49, [?]?

    Answer: 64

    These are perfect squares: 1², 2², ..., 7², 8² = 64.

  2. A grid rule: each cell = sum of all cells above it in the same column. Column 1 so far: 3, 3, 6, 12. What is the next value in this column?

    Answer: 24

    Each term = sum of all previous in the column, which doubles: 3, 3, 6, 12, 24.

  3. If the price of an item increases by 20% and then decreases by 20%, what is the net percentage change?

    Answer: −4% (net decrease)

    After +20%: 1.2x; after −20%: 1.2x × 0.8 = 0.96x — a net 4% decrease.

  4. A number sequence: 3, 7, 15, 31, 63, [?]

    Answer: 127

    Each term = 2 × previous + 1; 2×63+1 = 127. Alternatively each term = 2ⁿ+1−1.

  5. In a class of 36 students, the ratio of boys to girls is 4:5. How many girls are there?

    Answer: 20

    Total parts = 4+5 = 9; each part = 36/9 = 4 students; girls = 5×4 = 20.

  6. What is the missing value? 256, 64, 16, 4, [?]

    Answer: 1

    Each term is divided by 4; 4 ÷ 4 = 1.

  7. A pipe fills a tank in 4 hours; another pipe empties it in 6 hours. If both are open, how many hours to fill the tank from empty?

    Answer: 12

    Filling rate = 1/4 per hour; emptying rate = 1/6 per hour; net = 1/4 − 1/6 = 1/12 per hour; time = 12 hours.