GCAT - General Cognitive Ability Spatial Visualization Tasks Questions and Answers

Question 1

An unfolded cardboard cube is shown with symbols on four of its faces.
The net shows a horizontal row of four squares and two additional squares, one attached above and one below the second square in the row.
From left to right, the symbols on the horizontal row are: blank, plus sign, arrow pointing right, blank.
The square above the plus sign has a circle.
The square below the plus sign has a triangle.
Which of the following 3D cubes can be formed from this net?

Accepted Answer

A cube showing the plus sign on the front, the right-pointing arrow on the right face, and the circle on the top face.

Answer

A cube showing the plus sign on the front, the triangle on the right face, and the circle on the top face.

Answer

A cube showing the right-pointing arrow on the front, the plus sign on the right face, and the triangle on the top face.

Answer

A cube showing the circle on the front, the triangle on the bottom, and the plus sign on the back.

Question 2

A 3D object is composed of stacked cubes. The front view shows a 2x2 square of cubes. The right-side view shows a column of two cubes on the left and a single cube on the right. Which of the following is the correct top-down view of the object?

Accepted Answer

A 2x2 square with the bottom-right quadrant empty.

Answer

A 2x2 square with the top-left quadrant empty.

Answer

A 2x2 square with all quadrants filled.

Answer

A 2x2 square with the bottom-left quadrant empty.

Question 3

An irregular L-shaped figure has a long vertical arm and a shorter horizontal arm extending to the right. Which of the following figures represents a mental rotation of the original figure, and not a reflection?

Accepted Answer

An L-shaped figure with a long vertical arm pointing down and a shorter horizontal arm extending to the right.

Answer

An L-shaped figure with a long horizontal arm extending to the right and a shorter vertical arm pointing down.

Answer

An L-shaped figure with a long vertical arm and a shorter horizontal arm extending to the left.

Answer

An L-shaped figure with a long horizontal arm extending to the left and a shorter vertical arm pointing down.

Question 4

A square piece of paper is folded in half diagonally from the top-right corner to the bottom-left corner. Then, the resulting triangle is folded in half again along its line of symmetry. A small circular hole is punched through the center of this final, smaller triangle. What will the paper look like when fully unfolded?

Accepted Answer

A square with two holes along the main diagonal.

Answer

A square with one hole in the center.

Answer

A square with four holes forming a smaller square in the center.

Answer

A square with four holes along the main diagonal.

Question 5

An isometric view of a structure made of identical cubes is shown. The structure has a base of three cubes in a row. A second layer of two cubes sits on top of the rightmost two cubes of the base. A single cube sits on top of the rightmost cube of the second layer. How many cubes are in the structure in total, including those hidden from view?

Accepted Answer

C. 6

Answer

A. 10

Answer

B. 5

Answer

D. 7

Question 6

You are given three separate 2D shapes: two identical right-angled triangles and one small square. The length of the two shorter sides of the triangles is equal to the side length of the square. Which of the following composite shapes can be formed by fitting these three pieces together without any overlap?

Accepted Answer

A parallelogram.

Answer

A larger square.

Answer

A regular pentagon.

Answer

A larger right-angled triangle.