ASET Spatial Reasoning 1 — Questions and Answers
Question 1: A square piece of paper is folded in half diagonally to form a triangle, then folded in half again to form a smaller triangle. When unfolded, how many crease lines will appear on the paper?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Each fold creates one crease line, so two folds produce exactly 2 crease lines when the paper is unfolded.
Question 2: Looking at a cube from directly above, you see a square. If you then look at the same cube from directly in front, what shape do you see?
- Triangle
- Rectangle
- Square (Correct answer)
- Hexagon
Correct answer: Square
A cube has equal-length edges on all sides, so any straight-on orthographic view reveals a perfect square.
Question 3: A clock shows 3:00. If you view this clock in a mirror, what time does the reflection appear to show?
- 9:00 (Correct answer)
- 6:00
- 12:00
- 3:00
Correct answer: 9:00
A mirror reverses left and right, so the hand pointing to 3 on the right appears to point to 9 on the left in the reflection.
Question 4: A rectangular block measures 4 units long, 3 units wide, and 2 units tall. How many unit cubes would be needed to build this block?
- 9
- 18
- 24 (Correct answer)
- 36
Correct answer: 24
The volume of the block is 4 × 3 × 2 = 24 unit cubes.
Question 5: If you cut a cube exactly in half with a single straight horizontal cut, what shape is the cross-section?
- Circle
- Triangle
- Rectangle
- Square (Correct answer)
Correct answer: Square
A horizontal cut through a cube parallel to its top and bottom faces produces a square cross-section because all sides of a cube are equal.
Question 6: A shape has exactly 4 lines of symmetry. Which of the following shapes has exactly 4 lines of symmetry?
- Equilateral triangle
- Square (Correct answer)
- Regular pentagon
- Regular hexagon
Correct answer: Square
A square has exactly 4 lines of symmetry: two through opposite corners and two through midpoints of opposite sides.
Question 7: An arrow points North. After rotating 270° clockwise, which direction does the arrow point?
- East (Correct answer)
- South
- West
- North
Correct answer: East
A 270° clockwise rotation is the same as a 90° counter-clockwise rotation, turning North to East.
ASET Spatial Reasoning 1
A square piece of paper is folded in half diagonally to form a triangle, then folded in half again to form a smaller triangle.
When unfolded, how many crease lines will appear on the paper?