11+ Spatial Awareness 4 — Questions and Answers
Question 1: Two gears are interlocked. If the left gear turns clockwise, which way does the right gear turn?
- Clockwise
- Anticlockwise (Correct answer)
- It doesn't move
- Both ways
Correct answer: Anticlockwise
Interlocking gears always turn in opposite directions. If the left gear turns clockwise, the right gear turns anticlockwise.
Question 2: A net is made of 4 equilateral triangles. What 3D shape does it fold into?
- Square-based pyramid
- Tetrahedron (Correct answer)
- Triangular prism
- Octahedron
Correct answer: Tetrahedron
Four equilateral triangles fold into a tetrahedron — a triangular pyramid where all four faces are equilateral triangles.
Question 3: You walk 5 metres north, 3 metres east, 5 metres south, and 3 metres west. Where do you end up?
- 5m north of start
- 3m east of start
- Back at the start (Correct answer)
- 8m from start
Correct answer: Back at the start
The north and south movements cancel out (5m - 5m = 0), and the east and west movements cancel out (3m - 3m = 0). You return to the starting point.
Question 4: A cube is placed on a table. You can see 3 faces. One face touches the table. How many faces are hidden from all viewpoints?
- 1
- 2 (Correct answer)
- 3
- 0
Correct answer: 2
A cube has 6 faces. You can see 3 from your viewpoint. 1 face is on the table (bottom). The remaining 2 faces are on the far side, hidden from your viewpoint.
Question 5: A rectangular piece of paper is 20 cm × 10 cm. It is rolled into a cylinder along the longer edge. What is the height of the cylinder?
- 10 cm (Correct answer)
- 20 cm
- 5 cm
- 15 cm
Correct answer: 10 cm
When the paper is rolled along the longer edge (20 cm), the shorter edge (10 cm) becomes the height of the cylinder.
Question 6: How many vertices does an octahedron have?
- 4
- 6 (Correct answer)
- 8
- 12
Correct answer: 6
A regular octahedron has 6 vertices, 12 edges, and 8 faces. Think of two square-based pyramids joined at their bases.
11+ Spatial Awareness 4
Two gears are interlocked.
If the left gear turns clockwise, which way does the right gear turn?