11+ Spatial Awareness 4

Question 1

Two gears are interlocked. If the left gear turns clockwise, which way does the right gear turn?

Accepted Answer

Anticlockwise

Answer

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?

Accepted Answer

Tetrahedron

Answer

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?

Accepted Answer

Back at the start

Answer

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?

Accepted Answer

2

Answer

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?

Accepted Answer

10 cm

Answer

When the paper is rolled along the longer edge (20 cm), the shorter edge (10 cm) becomes the height of the cylinder.

11+ Practice Test

11+ Practice Test

11+ Spatial Awareness 4