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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 number comes next: 5, 10, 20, 35, 55, [?]?

    Answer: 80

    Differences are 5, 10, 15, 20, 25 (arithmetic sequence with +5 each time); 55 + 25 = 80.

  2. A missing-number grid: [8, 4, 2] and [12, 6, 3] and [20, 10, ?]. What is the missing value?

    Answer: 5

    Each row is halved at each step (8→4→2; 12→6→3; 20→10→5), so the missing value is 5.

  3. If 5 cats catch 5 mice in 5 minutes, how many minutes will it take 100 cats to catch 100 mice?

    Answer: 5

    Each cat catches 1 mouse in 5 minutes; 100 cats each catch 1 mouse → 100 mice in 5 minutes.

  4. What replaces [?] in the series: 2, 5, 11, 23, 47, [?]?

    Answer: 95

    Each term = 2 × previous + 1: 2×2+1=5, 2×5+1=11, 2×11+1=23, 2×23+1=47, 2×47+1=95.

  5. A school has 600 students. 40% play sports, 35% study music, and 15% do both. How many students do neither?

    Answer: 240

    Sports OR Music = 40+35−15 = 60%; neither = 40%; 40% of 600 = 240.

  6. A sequence of fractions: 1/2, 2/3, 3/4, 4/5, [?]

    Answer: 5/6

    The numerator and denominator each increase by 1 per step, giving n/(n+1); the 5th term is 5/6.

  7. In a number triangle, each number equals the sum of the two numbers directly above it. Bottom row: 1, 3, 3, 1. Second row: 4, 6, 4. Third row: 10, [?]. What is the missing value?

    Answer: 10

    Third row: 4+6=10 and 6+4=10; the second value in the third row is also 10.