FAST Future Aptitude Selection Tool Spatial Reasoning 5

Question 1

A square piece of paper is folded in half diagonally, then the right corner of the folded triangle is folded to meet the top corner. What shape is the result?

Accepted Answer

Smaller triangle

Answer

Folding a triangle's corner to another corner always produces a smaller triangle.

Question 2

An arrow pointing north is rotated 135° counterclockwise. In which direction does it now point?

Accepted Answer

Southeast

Answer

North rotated 135° counterclockwise passes through west (90°) and reaches southeast (180°+45° past north in reverse = SE).

Question 3

Which of the following transformations changes the size of a geometric figure?

Accepted Answer

Dilation

Answer

Dilation scales a figure, changing its size, while rotation, reflection, and translation preserve size.

Question 4

A rectangular room measures 10 ft × 12 ft. A scale drawing uses 1 inch = 4 ft. What are the dimensions of the room in the drawing?

Accepted Answer

2.5 in × 3 in

Answer

10 ÷ 4 = 2.5 inches and 12 ÷ 4 = 3 inches, giving 2.5 × 3 in.

Question 5

Looking at a cube from the corner so that three faces are visible, how many faces are hidden from view?

Accepted Answer

3

Answer

A cube has 6 faces; viewing from a corner exposes 3 faces, so 3 are hidden.

(FAST) Future Aptitude Selection Tool Practice Test

(FAST) Future Aptitude Selection Tool Practice Test

FAST Future Aptitude Selection Tool Spatial Reasoning 5