Mensa Mensa IQ Matrix Reasoning 4

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?

Accepted Answer

9

Answer

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?

Accepted Answer

Down-right (diagonal)

Answer

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?

Accepted Answer

True, if row 3 col 1 is unfilled

Answer

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, ?

Accepted Answer

9

Answer

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?

Accepted Answer

12

Answer

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

Mensa Practice Test

Mensa Practice Test

Mensa Mensa IQ Matrix Reasoning 4