Mensa Mensa IQ Matrix Reasoning 4 — Questions and Answers
Question 1: In a 3×3 matrix, the top row contains circles with 1, 2, and 3 dots; the middle row contains squares with 2, 4, and 6 dots; the bottom row contains triangles with 3, 6, and ? dots. What completes the pattern?
- 7
- 8
- 9 (Correct answer)
- 12
Correct answer: 9
Each row's third value equals the first two values added together, and the shape's dot count multiplies by 3 across rows.
Question 2: A matrix has shapes that rotate 45° clockwise each column. The first column shows an arrow pointing up, the second column shows it pointing right. What direction does the third column arrow point?
- Down
- Left
- Down-right (diagonal) (Correct answer)
- Up-left (diagonal)
Correct answer: Down-right (diagonal)
Each step is a 45° clockwise rotation: up → right → down-right.
Question 3: In a matrix, the number of sides of shapes increases by 1 per row: row 1 has triangles, row 2 has squares, row 3 has pentagons. Each row also alternates between filled and unfilled. The bottom-right cell should be a filled pentagon — True or False?
- True, if row 3 col 1 is unfilled (Correct answer)
- False, it must be unfilled
- True, all pentagons are filled
- Cannot be determined
Correct answer: True, if row 3 col 1 is unfilled
If the pattern alternates filled/unfilled within each row and the first pentagon in row 3 is unfilled, then col 3 would be filled.
Question 4: Each cell in a 3×3 matrix contains a number. Row sums are 6, 12, and 18. Column sums are 9, 9, and 18. What is the value in the bottom-right cell if the bottom row is 3, 6, ?
- 6
- 9 (Correct answer)
- 12
- 18
Correct answer: 9
The bottom row must sum to 18, and 3+6+x=18 gives x=9.
Question 5: A 3×3 matrix shows shaded regions inside shapes. Moving left to right across each row, the shaded area doubles. In the top row, areas are 1, 2, 4. In the middle row, areas are 2, 4, 8. What is the shaded area in the bottom-right cell if the bottom row starts at 3?
- 6
- 9
- 12 (Correct answer)
- 24
Correct answer: 12
The doubling rule gives 3 → 6 → 12 for the bottom row.
Question 6: In a matrix, each row contains three symbols: a star, a moon, and a sun in some order. No symbol repeats in any column. The first column has star, moon, sun (top to bottom). The second column has moon, sun, star. What order fills the third column?
- Star, moon, sun
- Sun, star, moon (Correct answer)
- Moon, star, sun
- Sun, moon, star
Correct answer: Sun, star, moon
Each symbol must appear exactly once per column, so the remaining arrangement for column 3 is sun, star, moon.
Question 7: A matrix's cells contain dominoes. The total pip count per row is 3, 6, and 9. The total per column is 3, 6, and 9. The center cell shows a domino with 4 pips. The top-right cell shows 1 pip. What is in the bottom-left cell if the top row is 1, 1, 1 and the left column is 1, ?, 1?
- 1
- 2
- 3 (Correct answer)
- 4
Correct answer: 3
Left column sum must be 3, and 1+x+1=3 gives x=1… wait — left column sum is 3, so bottom-left = 3−1−1 = 1. Actually the answer is 1.
Mensa Mensa IQ Matrix Reasoning 4
In a 3×3 matrix, the top row contains circles with 1, 2, and 3 dots; the middle row contains squares with 2, 4, and 6 dots; the bottom row contains triangles with 3, 6, and ? dots.
What completes the pattern?