Psychometric Test Psychometric Test Spatial Reasoning 2 — Questions and Answers
Question 1: Which 3D shape has exactly 6 faces, 12 edges, and 8 vertices?
- Tetrahedron
- Octahedron
- Cube (Correct answer)
- Triangular prism
Correct answer: Cube
A cube (rectangular prism) has 6 faces, 12 edges, and 8 vertices.
Question 2: A shape is reflected across the y-axis. A point originally at (3, 5) moves to:
- (−3, 5) (Correct answer)
- (3, −5)
- (−3, −5)
- (5, 3)
Correct answer: (−3, 5)
Reflecting across the y-axis negates the x-coordinate while keeping the y-coordinate unchanged.
Question 3: How many lines of symmetry does a regular hexagon have?
- 3
- 4
- 6 (Correct answer)
- 8
Correct answer: 6
A regular hexagon has 6 lines of symmetry — three through opposite vertices and three through midpoints of opposite sides.
Question 4: A rectangular prism measures 4 cm × 3 cm × 2 cm. What is its total surface area?
- 24 cm²
- 48 cm²
- 52 cm² (Correct answer)
- 60 cm²
Correct answer: 52 cm²
Surface area = 2(lw + lh + wh) = 2(12 + 8 + 6) = 2(26) = 52 cm².
Question 5: When a shape is enlarged by a scale factor of 3, its area is multiplied by:
- 3
- 6
- 9 (Correct answer)
- 27
Correct answer: 9
Area scales by the square of the linear scale factor, so 3² = 9.
Question 6: A map uses a scale of 1:50,000. A distance of 4 cm on the map represents how many kilometers in reality?
- 0.5 km
- 2 km (Correct answer)
- 5 km
- 20 km
Correct answer: 2 km
4 cm × 50,000 = 200,000 cm = 2,000 m = 2 km.
Psychometric Test Psychometric Test Spatial Reasoning 2
Which 3D shape has exactly 6 faces, 12 edges, and 8 vertices?