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

Rectangle

Answer

Pentagon

Answer

Parallelogram

Question 2

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

Accepted Answer

Southeast

Answer

Southwest

Answer

Northwest

Answer

Northeast

Question 3

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

Accepted Answer

Dilation

Answer

Rotation

Answer

Reflection

Answer

Translation

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

4 in × 6 in

Answer

5 in × 6 in

Answer

2 in × 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

2

Answer

4

Answer

1

Question 6

A piece is moved 4 units right and 3 units down on a grid. Which transformation describes this movement?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 7

Which cross-section is produced when a cone is cut parallel to its base?

Accepted Answer

Circle

Answer

Ellipse

Answer

Triangle

Answer

Parabola