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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.

Read the first 7 Mensa IQ Numerical Reasoning and Arithmetic flashcards as text

  1. What is the missing number in the matrix? [3, 6, 9] / [5, 10, 15] / [7, 14, ?]

    Answer: 21

    Each row multiplies the first element by 1, 2, and 3; 7×3 = 21. Also, column 3 = column 2 × 1.5: 9, 15, 21.

  2. A geometric sequence has first term 3 and common ratio 4. What is the 5th term?

    Answer: 768

    Terms: 3, 12, 48, 192, 768; the 5th term = 3 × 4⁴ = 3 × 256 = 768.

  3. The sum of two numbers is 84 and their difference is 20. What is the larger number?

    Answer: 52

    Let the numbers be a and b where a > b. a+b=84 and a−b=20; adding: 2a=104, a=52.

  4. A numerical sequence: 729, 243, 81, 27, [?]

    Answer: 9

    Each term is divided by 3 (geometric sequence with ratio 1/3); 27/3 = 9.

  5. How many minutes are there from 9:45 AM to 2:15 PM?

    Answer: 270

    9:45 AM to 2:15 PM = 4 hours and 30 minutes = 270 minutes.

  6. What replaces [?]: 17, 13, 9, 5, [?], −3?

    Answer: 1

    The sequence decreases by 4 each step; 5 − 4 = 1.

  7. A shopkeeper buys 200 items at $3 each and sells them at $5 each, but 20 items are returned unsold. What is the profit?

    Answer: $300

    Cost = 200×$3 = $600; Revenue = (200−20)×$5 = 180×$5 = $900; Profit = $900−$600 = $300.