CADET Spatial Reasoning and Visualization 3

Question 1

A rectangular box has a length of 4, width of 3, and height of 2. What is its volume?

Accepted Answer

24

Answer

Volume of a rectangular box = length × width × height = 4 × 3 × 2 = 24.

Question 2

If a shape is rotated 270° clockwise, this is the same as rotating it how many degrees counter-clockwise?

Accepted Answer

90°

Answer

Rotating 270° clockwise is the same as rotating 90° counter-clockwise, since 360° − 270° = 90°.

Question 3

How many lines of symmetry does a regular hexagon have?

Accepted Answer

6

Answer

A regular hexagon has 6 lines of symmetry — 3 connecting opposite vertices and 3 connecting midpoints of opposite sides.

Question 4

Looking at a 3×3 grid of blocks, if you remove one corner block, how many blocks remain?

Accepted Answer

8

Answer

A 3×3 grid contains 9 blocks; removing 1 corner block leaves 8 blocks.

Question 5

If two parallel lines are cut by a transversal, which pair of angles are equal?

Accepted Answer

Alternate interior angles

Answer

Alternate interior angles (Z-angles) are equal when two parallel lines are cut by a transversal.

CADET - Canadian Armed Forces Aptitude Test Practice Test