NFST Logical and Spatial Reasoning 3 — Questions and Answers
Question 1: If you fold a square piece of paper in half twice, how many equal layers does the resulting shape have?
- 2
- 4 (Correct answer)
- 6
- 8
Correct answer: 4
Each fold doubles the number of layers: 1 fold = 2 layers, 2 folds = 4 layers.
Question 2: When viewing a cube from a corner (isometric view), how many faces are simultaneously visible?
- 1
- 2
- 3 (Correct answer)
- 4
Correct answer: 3
From a corner isometric view, exactly three faces of a cube are visible at the same time.
Question 3: A firefighter walks 4 blocks North, 3 blocks East, 2 blocks South, and 1 block West. How far is she from her starting point?
- √8 blocks (Correct answer)
- 3 blocks
- 5 blocks
- 10 blocks
Correct answer: √8 blocks
Net displacement: 2 blocks North and 2 blocks East; distance = √(2²+2²) = √8 ≈ 2.83 blocks.
Question 4: A sequence reads: △ □ △△ □□ △△△ □□□ ___. What symbol comes next?
- △ (Correct answer)
- □
- △△△△
- □□□□
Correct answer: △
The pattern creates increasing groups (1, 2, 3…); the next group is 4 triangles, beginning with △.
Question 5: If a shape has rotational symmetry of order 4, how many times does it appear identical during a full 360° rotation?
- 2
- 3
- 4 (Correct answer)
- 8
Correct answer: 4
Order 4 means the shape looks identical at 90°, 180°, 270°, and 360° — exactly four times.
Question 6: A rescue team enters a building facing South. They turn 90° left, walk forward, then turn 90° right. What direction are they now facing?
- North
- South (Correct answer)
- East
- West
Correct answer: South
South + 90° left = East; East + 90° right = South.
Question 7: If you see the numeral '3' reflected in a vertical mirror placed to its right, what does the reflection look like?
- The numeral 3
- A horizontally reversed 3 (Correct answer)
- The numeral 8
- The numeral 5
Correct answer: A horizontally reversed 3
A vertical mirror flips images left-to-right, turning the numeral 3 into a backward 3.
If you fold a square piece of paper in half twice, how many equal layers does the resulting shape have?