AFCT Spatial Aptitude

Question 1

Which of the following shapes is the result of folding the net shown below?
[Imagine a 2D net of a cube with six square faces.]

Accepted Answer

Cube

Answer

A net of a cube consists of six square faces arranged in a pattern that can be folded along their edges to form a three-dimensional cube. When the provided 2D net, which typically shows six connected squares, is folded, it will perfectly enclose a cubic shape. This is the fundamental definition of a cube's net.

Question 2

If you rotate a right triangle 90 degrees clockwise, what shape will the triangle form?

Accepted Answer

Another right triangle

Answer

Rotating a geometric shape, such as a right triangle, only changes its orientation in space, not its fundamental properties or type. A 90-degree clockwise rotation will move the triangle, but it will still retain its three sides, three angles, and specifically its right angle. Therefore, it will remain a right triangle, just in a different position.

Question 3

Which of the following images shows the top view of a cone?
[Imagine multiple options with different perspectives of a cone.]

Accepted Answer

A circle

Answer

When viewed directly from the top, a cone appears as a circular base. The apex of the cone would be at the center of this circle, but the overall outline visible from above is a perfect circle. This is because the top view essentially flattens the 3D shape onto a 2D plane, revealing its widest horizontal cross-section.

Question 4

Which 3D shape has 4 triangular faces and 1 square face?

Accepted Answer

Pyramid

Answer

A pyramid is a polyhedron characterized by a polygonal base and triangular faces that meet at a common point called the apex. Specifically, a pyramid with a square base will have one square face (the base) and four triangular faces that rise from each side of the square to meet at the apex, fulfilling the description.

Question 5

Which of the following is the result of rotating a square 45 degrees around its center?

Accepted Answer

A rhombus

Answer

A square is a quadrilateral with four equal sides. A rhombus is defined as a quadrilateral with four equal sides. Since a square meets the definition of a rhombus, rotating a square 45 degrees around its center results in a shape that is still a square, and thus, it is also still a rhombus. While it remains a square, 'rhombus' is a correct classification.

(AFCT) Armed Forces Classification Test Practice Test

(AFCT) Armed Forces Classification Test Practice Test

AFCT Spatial Aptitude