Mensa IQ Matrix Reasoning Flashcards

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?

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.

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?

Answer: Down-right (diagonal)

Each step is a 45° clockwise rotation: up → right → down-right.

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?

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.

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, ?

Answer: 9

The bottom row must sum to 18, and 3+6+x=18 gives x=9.

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?

Answer: 12

The doubling rule gives 3 → 6 → 12 for the bottom row.

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?

Answer: Sun, star, moon

Each symbol must appear exactly once per column, so the remaining arrangement for column 3 is sun, star, moon.

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?

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.