ADF Spatial Reasoning 2 — Questions and Answers
Question 1: A helicopter flies 10 km South, then 10 km East. What single direction must it fly to return directly to its base?
- North-West (Correct answer)
- North-East
- South-West
- South-East
Correct answer: North-West
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?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
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?
- 10 m
- 7.2 m (Correct answer)
- 8 m
- 6 m
Correct answer: 7.2 m
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?
- 45°
- 90° (Correct answer)
- 180°
- 360°
Correct answer: 90°
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?
- 4 (Correct answer)
- 5
- 6
- 2
Correct answer: 4
Since opposite faces sum to 7 and 3 is on top, the bottom face must show 7 − 3 = 4.
Question 6: A soldier faces South-East. They turn 135° anti-clockwise. What direction are they now facing?
- East
- North (Correct answer)
- North-East
- North-West
Correct answer: North
South-East is at bearing 135°; subtracting 135° for anti-clockwise rotation gives bearing 0°, which is North.
Question 7: A 2D shape is reflected over a vertical line. Which property is changed?
- Size
- Orientation (handedness) (Correct answer)
- Perimeter
- Area
Correct answer: Orientation (handedness)
Reflection preserves size, area, and perimeter but reverses the handedness (chirality) of the shape.
ADF Spatial Reasoning 2
A helicopter flies 10 km South, then 10 km East.
What single direction must it fly to return directly to its base?