Raven's Progressive Matrices Test Raven's Progressive Matrices Figure Rotation and Reflection 5 — Questions and Answers
Question 1: In a 3×3 Raven's matrix, the transformation rule is: each figure rotates 90° counter-clockwise from the previous column. The figure in column 1 has a flag pointing right. In column 3, the flag points:
- Right
- Left (Correct answer)
- Up
- Down
Correct answer: Left
Two 90° counter-clockwise rotations (180° total) turn a right-pointing flag to point left.
Question 2: A figure is reflected first across the vertical axis, then across the horizontal axis. The combined effect is the same as:
- A 90° clockwise rotation
- A 180° rotation (Correct answer)
- A 270° rotation
- No transformation
Correct answer: A 180° rotation
Reflecting across the vertical axis then the horizontal axis is equivalent to a 180° rotation about the center.
Question 3: An arrow points to 10 o'clock on a clock face. After a 120° clockwise rotation, it points to:
- 2 o'clock (Correct answer)
- 6 o'clock
- 8 o'clock
- 4 o'clock
Correct answer: 2 o'clock
120° clockwise from 10 o'clock (which is at 300°) adds 120°, reaching 60° — the 2 o'clock position.
Question 4: In a Raven's matrix, the figures show a progressive rotation. The first figure is tilted 15° from vertical. Each subsequent figure adds 15°. What is the tilt of the 5th figure?
- 15°
- 45°
- 60°
- 75° (Correct answer)
Correct answer: 75°
The 5th figure has a tilt of 15° × 5 = 75° from vertical.
Question 5: Which of the following objects has reflective symmetry but NOT rotational symmetry (other than 360°)?
- A square
- A circle
- The letter A (Correct answer)
- A regular hexagon
Correct answer: The letter A
The letter A has one vertical line of reflective symmetry but no rotational symmetry under 360°, unlike geometric shapes like squares or hexagons.
Question 6: A figure rotated 45° clockwise looks different from the original. The same figure reflected across the vertical axis also looks different. What does this indicate?
- The figure has 8-fold symmetry
- The figure lacks both 45° rotational symmetry and vertical reflective symmetry (Correct answer)
- The figure is a circle
- The figure is a square
Correct answer: The figure lacks both 45° rotational symmetry and vertical reflective symmetry
If neither the rotation nor the reflection maps the figure onto itself, the figure lacks that specific rotational and reflective symmetry.
Question 7: In a Raven's matrix where figures rotate 90° clockwise each step and also gain one side (triangle→square→pentagon), what is the missing figure if the pattern shows: triangle pointing up, square tilted 90° clockwise?
- Pentagon pointing up
- Pentagon tilted 90° clockwise
- Pentagon tilted 180° (Correct answer)
- Hexagon tilted 90° clockwise
Correct answer: Pentagon tilted 180°
The third step adds one side (pentagon) and another 90° clockwise rotation (total 180°), producing a pentagon tilted 180°.
In a 3×3 Raven's matrix, the transformation rule is: each figure rotates 90° counter-clockwise from the previous column.
The figure in column 1 has a flag pointing right.
In column 3, the flag points: