ADF Spatial Reasoning 2

Question 1

A helicopter flies 10 km South, then 10 km East. What single direction must it fly to return directly to its base?

Accepted Answer

North-West

Answer

The helicopter is now south and east of base, so it must travel in the opposite direction: North-West.

Question 2

How many faces does a triangular prism have?

Accepted Answer

5

Answer

A triangular prism has 2 triangular end faces and 3 rectangular side faces, totalling 5 faces.

Question 3

A rectangular room is 6 m long and 4 m wide. What is the straight-line distance from one corner to the diagonally opposite corner?

Accepted Answer

7.2 m

Answer

Using Pythagoras: √(6² + 4²) = √52 ≈ 7.2 m.

Question 4

A shape has 4-fold rotational symmetry. What is the smallest angle it can be rotated to look identical to its original position?

Accepted Answer

90°

Answer

4-fold symmetry means the shape repeats every 360° ÷ 4 = 90° of rotation.

Question 5

On a standard die, opposite faces always sum to 7. If 3 is on top, what number is on the bottom?

Accepted Answer

4

Answer

Since opposite faces sum to 7 and 3 is on top, the bottom face must show 7 − 3 = 4.

ADF - Australian Defence Force Practice Test