Raven's Progressive Matrices Test Raven's Progressive Matrices Line and Angle Patterns 2 — Questions and Answers
Question 1: A matrix row contains three cells where the line in each cell rotates 60° counterclockwise from the previous. If the first cell shows a vertical line (90°), what angle does the third cell show?
- 210°
- 330°
- −30° (same as 330°)
- Both B and C are correct (Correct answer)
Correct answer: Both B and C are correct
Starting at 90°, subtract 60° twice: 90° − 60° = 30°, then 30° − 60° = −30°, which equals 330°; answers B and C both represent the same angle.
Question 2: Two lines intersect inside an RPM cell at a right angle. Across the matrix, this intersection rotates 45° per cell. After three cells, the original right angle has rotated by a total of:
- 45°
- 90° (Correct answer)
- 135°
- 180°
Correct answer: 90°
Three cells means two steps of rotation (from cell 1 to 2 and from cell 2 to 3), giving 2 × 45° = 90° total rotation.
Question 3: In RPM, when a line's angle increases by 30° per row and 45° per column, what is the total angular increase from the top-left cell to the bottom-right cell of a 3×3 matrix?
- 75°
- 90°
- 150° (Correct answer)
- 165°
Correct answer: 150°
Moving 2 rows down adds 2 × 30° = 60°, and moving 2 columns right adds 2 × 45° = 90°, for a total of 60° + 90° = 150°.
Question 4: An RPM cell contains a line at 75°. The next cell shows the supplementary angle. What angle appears in the next cell?
- 15°
- 105° (Correct answer)
- 165°
- 285°
Correct answer: 105°
Supplementary angles sum to 180°, so the supplementary angle of 75° is 180° − 75° = 105°.
Question 5: In an RPM matrix, the first row shows a line rotating clockwise: 0°, 45°, 90°. The second row starts at 90°. What is the most likely rule for how rows relate to each other?
- Each row starts where the previous row ended (Correct answer)
- Each row starts 90° ahead of the previous row's start
- Each row repeats the same angles
- Each row reverses the rotation direction
Correct answer: Each row starts where the previous row ended
The first row ends at 90°, and the second row begins at 90°, indicating each row continues seamlessly where the prior row concluded.
Question 6: Which term describes lines in an RPM matrix that meet at exactly 90° angles?
- Parallel lines
- Complementary lines
- Perpendicular lines (Correct answer)
- Acute lines
Correct answer: Perpendicular lines
Lines that intersect at a 90° angle are called perpendicular, a key geometric concept frequently tested in RPM angle patterns.
Question 7: A matrix column shows lines at 20°, 40°, and 60°. A second column shows lines at 25°, 45°, and 65°. What rule connects the two columns?
- Column 2 angles are 5° greater than column 1 angles (Correct answer)
- Column 2 angles are double column 1 angles
- Column 2 angles are the mirror of column 1 angles
- Column 2 angles decrease by 5° from column 1
Correct answer: Column 2 angles are 5° greater than column 1 angles
Each angle in column 2 is exactly 5° greater than the corresponding angle in column 1 (20+5=25, 40+5=45, 60+5=65).
Raven's Progressive Matrices Test Raven's Progressive Matrices Line and Angle Patterns 2
A matrix row contains three cells where the line in each cell rotates 60° counterclockwise from the previous.
If the first cell shows a vertical line (90°), what angle does the third cell show?