HAST Spatial Reasoning 3

Question 1

A map has north pointing up. You walk north for 4 blocks, turn right, walk 3 blocks, then turn right again and walk 4 blocks. Which direction are you now facing?

Accepted Answer

South

Answer

Starting facing north, turn right = east, walk; turn right again = south; you are now facing south.

Question 2

A cube's opposite faces always sum to 7 (standard die). If the top shows 5, what is on the bottom?

Accepted Answer

2

Answer

On a standard die, opposite faces sum to 7; 7 − 5 = 2, so 2 is on the bottom.

Question 3

A 2D net is folded into a triangular prism. How many faces does a triangular prism have?

Accepted Answer

5

Answer

A triangular prism has 2 triangular bases and 3 rectangular sides, totaling 5 faces.

Question 4

A path goes: 3 steps east, 4 steps north, then straight back to the start. How long is the return path?

Accepted Answer

5 steps

Answer

The east and north steps form the legs of a right triangle; hypotenuse = √(3² + 4²) = √25 = 5 steps.

Question 5

A shape has rotational symmetry of order 4. Through how many degrees does each rotation turn it onto itself?

Accepted Answer

90°

Answer

Order 4 rotational symmetry means 4 equal rotations complete a full 360°; 360° ÷ 4 = 90°.

HAST - Higher Ability Selection Test Practice Test

HAST - Higher Ability Selection Test Practice Test

HAST Spatial Reasoning 3