FAST Future Aptitude Selection Tool Spatial Reasoning 2 — Questions and Answers
Question 1: If you rotate a square 90 degrees clockwise, what shape do you see?
- Rectangle
- Triangle
- Square (Correct answer)
- Circle
Correct answer: Square
A square looks identical after a 90-degree rotation because all sides are equal and all angles are right angles.
Question 2: A clock shows 3:00. If the minute hand rotates 180 degrees, where does it now point?
- 12
- 3
- 6 (Correct answer)
- 9
Correct answer: 6
At 3:00 the minute hand points to 12, and rotating it 180° takes it to the opposite side, pointing to 6.
Question 3: If an image is reflected across a vertical axis, which property changes?
- Size
- Shape
- Color
- Left-right orientation (Correct answer)
Correct answer: Left-right orientation
A reflection across a vertical axis flips the image so that the left and right sides are reversed.
Question 4: Which shape has exactly 4 lines of symmetry?
- Scalene triangle
- Rectangle
- Square (Correct answer)
- Parallelogram
Correct answer: Square
A square has 4 lines of symmetry: two through opposite corners and two through midpoints of opposite sides.
Question 5: Which transformation moves every point of a shape the same distance in the same direction without any rotation or reflection?
- Rotation
- Reflection
- Translation (Correct answer)
- Dilation
Correct answer: Translation
A translation slides a shape in a specific direction without changing its size, shape, or orientation.
Question 6: A shape is enlarged by a scale factor of 3 and the original area was 4 square units. What is the new area?
- 12 square units
- 36 square units (Correct answer)
- 7 square units
- 24 square units
Correct answer: 36 square units
When a shape is scaled by factor k, area scales by k², so 4 × 3² = 4 × 9 = 36 square units.
FAST Future Aptitude Selection Tool Spatial Reasoning 2
If you rotate a square 90 degrees clockwise, what shape do you see?