11+ Spatial Awareness 3 — Questions and Answers
Question 1: A 3D shape has 6 rectangular faces, 12 edges, and 8 vertices. What is it?
- Cube
- Cuboid
- Hexagonal prism
- Either a cube or cuboid (Correct answer)
Correct answer: Either a cube or cuboid
Both a cube (6 square faces, which are special rectangles) and a cuboid (6 rectangular faces) have 12 edges and 8 vertices. The description fits either.
Question 2: If you rotate the letter 'N' by 90 degrees clockwise, what letter does it most resemble?
- Z (Correct answer)
- M
- U
- C
Correct answer: Z
When N is rotated 90 degrees clockwise, its two vertical strokes become horizontal and its diagonal stroke connects them, resembling the letter Z.
Question 3: A cone is viewed from directly above. What shape do you see?
- Triangle
- Circle
- Circle with a dot in the centre (Correct answer)
- Semi-circle
Correct answer: Circle with a dot in the centre
Looking at a cone from directly above, you see the circular base with the apex (point) visible as a dot in the centre.
Question 4: How many planes of symmetry does a cube have?
- 3
- 6
- 9 (Correct answer)
- 12
Correct answer: 9
A cube has 9 planes of symmetry: 3 through opposite face centres, and 6 through opposite edge pairs (diagonally).
Question 5: A shape made of unit cubes looks like a staircase: 1 cube on top, 2 in the middle row, 3 on the bottom. How many unit cubes are used?
- 5
- 6 (Correct answer)
- 7
- 8
Correct answer: 6
Total cubes = 1 + 2 + 3 = 6 unit cubes.
Question 6: If a square-based pyramid is sliced horizontally halfway up, what shape is the cross-section?
- Triangle
- Square (Correct answer)
- Rectangle
- Pentagon
Correct answer: Square
A horizontal slice through a square-based pyramid at any height produces a square cross-section (smaller than the base).
A 3D shape has 6 rectangular faces, 12 edges, and 8 vertices.
What is it?