GCAT Abstract Reasoning Matrices 2 — Questions and Answers
Question 1: A 3×3 matrix has circles in the top row, squares in the middle row, and triangles in the bottom row. Each shape is shaded in the first column, striped in the second column, and empty in the third column. What shape and fill belongs in the missing cell at row 3, column 3?
- Empty triangle (Correct answer)
- Shaded triangle
- Empty circle
- Striped square
Correct answer: Empty triangle
The bottom row uses triangles and the third column uses empty fill, so the answer is an empty triangle.
Question 2: In a matrix, the number of sides increases by one across each row: triangle (3), square (4), pentagon (5). The shapes rotate 90° clockwise down each column. What completes the bottom-right cell if the bottom row starts with a triangle?
- Pentagon rotated 270° (Correct answer)
- Square rotated 90°
- Triangle rotated 180°
- Hexagon rotated 90°
Correct answer: Pentagon rotated 270°
The bottom row's third cell is a pentagon, and three 90° clockwise rotations down the column total 270°.
Question 3: Each row in a matrix contains three figures. The first figure has one dot inside, the second has two, and the third has three. The outer shape changes each row: row 1 = circle, row 2 = square, row 3 = triangle. What belongs in row 3, column 2?
- Triangle with 2 dots (Correct answer)
- Square with 2 dots
- Triangle with 3 dots
- Circle with 2 dots
Correct answer: Triangle with 2 dots
Row 3 uses triangles as the outer shape and column 2 always contains 2 dots.
Question 4: A matrix shows arrows pointing in different directions. Row 1: →, ↑, ←. Row 2: ↑, ←, ↓. Row 3: ←, ↓, ?. What is the missing arrow?
- → (Correct answer)
- ↑
- ↓
- ←
Correct answer: →
Each row shifts the direction sequence one step counterclockwise, and the pattern wraps from ↓ back to →.
Question 5: In a pattern matrix, each cell contains filled squares. Row 1 has 1, 2, 3 filled squares. Row 2 has 2, 4, 6 filled squares. Row 3 has 3, 6, ? filled squares.
- 9 (Correct answer)
- 8
- 7
- 12
Correct answer: 9
Each cell equals (row number) × (column number): 3 × 3 = 9.
Question 6: A 3×3 matrix contains symbols: ★, ●, ▲. Each symbol appears exactly once per row and once per column. Row 1: ★, ●, ▲. Row 2: ●, ▲, ?. Row 3: ▲, ?, ●.
- ★ (Correct answer)
- ●
- ▲
- ■
Correct answer: ★
The missing cell in row 2, column 3 must be ★ so each symbol appears exactly once in every row and column.
Question 7: Each figure in a matrix has an outer shape and an inner shape. The outer shape grows one size larger across each row (small → medium → large). The inner shape rotates 45° per column. What rule governs the cell at row 3, column 3?
- Large outer shape, inner shape rotated 90° (Correct answer)
- Small outer shape, inner shape rotated 45°
- Large outer shape, inner shape unchanged
- Medium outer shape, inner shape rotated 90°
Correct answer: Large outer shape, inner shape rotated 90°
Column 3 always has the large outer shape, and moving from column 1 to column 3 accumulates two 45° rotations totaling 90°.
GCAT Abstract Reasoning Matrices 2
A 3×3 matrix has circles in the top row, squares in the middle row, and triangles in the bottom row.
Each shape is shaded in the first column, striped in the second column, and empty in the third column.
What shape and fill belongs in the missing cell at row 3, column 3?