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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 next term in the sequence: 1, 8, 27, 64, 125, [?]?

    Answer: 216

    These are perfect cubes: 1³, 2³, 3³, 4³, 5³, 6³ = 216.

  2. A number sequence: 12, 21, 23, 32, 34, 43, 45, [?]

    Answer: 54

    The pattern: +9, +2, +9, +2, +9, +2, +9; after 45+9 = 54.

  3. If a tank is 2/5 full and 240 liters are needed to fill it completely, what is the total capacity?

    Answer: 400 liters

    2/5 is full, so 3/5 is empty = 240 liters; total = 240 ÷ (3/5) = 400 liters.

  4. A sequence: 1, 2, 6, 24, 120, [?]

    Answer: 720

    These are factorials: 1!, 2!, 3!, 4!, 5!, 6! = 720.

  5. Two cyclists start from the same point, traveling in opposite directions at 15 km/h and 20 km/h. How far apart are they after 90 minutes?

    Answer: 52.5 km

    Combined speed = 35 km/h; time = 1.5 hours; distance = 35 × 1.5 = 52.5 km.

  6. What number is missing? 144, 121, 100, 81, 64, [?], 36

    Answer: 49

    These are perfect squares in decreasing order: 12², 11², 10², 9², 8², 7², 6²; missing = 7² = 49.

  7. A number grid: each cell equals the square of the sum of its row and column indices (1-indexed). What is the value of the cell at row 3, column 4?

    Answer: 49

    Row 3, column 4: index sum = 3+4 = 7; 7² = 49.