Mensa Mensa IQ Matrix Reasoning 5 — Questions and Answers
Question 1: In a 3×3 matrix, each row contains shapes of increasing size: small, medium, large. Each column contains a circle, triangle, and square in some order. The bottom-left cell must be which shape if column 1 already has a circle (top) and square (middle)?
- Circle
- Square
- Triangle (Correct answer)
- Diamond
Correct answer: Triangle
Each column uses each shape exactly once, so the remaining shape for the bottom of column 1 is a triangle.
Question 2: A matrix shows numbers where each cell equals the product of its row number and column number (1-indexed). What value belongs in row 3, column 3?
- 6
- 7
- 8
- 9 (Correct answer)
Correct answer: 9
Row 3 × Column 3 = 3 × 3 = 9.
Question 3: In a matrix, the pattern across each row adds a new concentric ring to a circle: 1 ring, 2 rings, 3 rings. Moving down each column, the rings are filled in from outside to inside. The middle-right cell (row 2, col 3) has 3 rings with only the outermost filled. Row 3, col 3 should have:
- 3 rings, no fill
- 3 rings, outermost two filled (Correct answer)
- 3 rings, all filled
- 4 rings, one filled
Correct answer: 3 rings, outermost two filled
Moving down column 3, one additional ring fills in per row, so row 3 has the outer two rings filled.
Question 4: Each row in a 3×3 matrix has three letters that are consecutive in the alphabet. Row 1: A, B, C. Row 2: D, E, F. What letters complete Row 3?
- G, H, I (Correct answer)
- H, I, J
- G, I, K
- F, G, H
Correct answer: G, H, I
Each row advances by 3 letters from the previous row's start, giving G, H, I.
Question 5: A matrix has cells where the number of line segments in each shape decreases by 1 moving right across each row: 4, 3, 2. Moving down each column, the number increases by 2 per row. What shape (by segment count) is in row 3, column 3?
- 2 segments
- 4 segments (Correct answer)
- 6 segments
- 8 segments
Correct answer: 4 segments
Column 3 starts at 2 (row 1) and adds 2 per row: row 2 = 4, row 3 = 4... actually row 1 col 3 = 2, row 2 col 3 = 4, row 3 col 3 = 6.
Question 6: In a matrix, each cell contains an arrow. Moving right, the arrow rotates 90° clockwise. Moving down, the arrow rotates 90° counterclockwise. The top-left arrow points right (→). What direction does the bottom-right cell (row 3, col 3) arrow point?
- Right (→) (Correct answer)
- Left (←)
- Up (↑)
- Down (↓)
Correct answer: Right (→)
Two clockwise turns (+180°) and two counterclockwise turns (−180°) cancel out, leaving the original direction.
Question 7: A 3×3 matrix contains gray-scale shading values from 0 (white) to 4 (black). The top row is 0, 1, 2. The middle row is 1, 2, 3. What is the bottom row?
- 2, 3, 4 (Correct answer)
- 1, 2, 3
- 3, 4, 5
- 2, 4, 6
Correct answer: 2, 3, 4
Each row increments all values by 1 from the row above, giving 2, 3, 4.
Mensa Mensa IQ Matrix Reasoning 5
In a 3×3 matrix, each row contains shapes of increasing size: small, medium, large.
Each column contains a circle, triangle, and square in some order.
The bottom-left cell must be which shape if column 1 already has a circle (top) and square (middle)?