ATDH - Admission Test for Dental Hygiene Perceptual Ability: 3D Forms Questions and Answers

Question 1

An object is constructed from identical, stacked cubes.
No cubes are floating.
The structure has a base that is 3 columns wide and 2 rows deep.
The front-left column is 3 cubes high.
The front-middle column is 2 cubes high.
The front-right column is 1 cube high.
The entire back row of columns is 1 cube high.
How many total cubes are in the object?

Accepted Answer

11

Answer

10

Answer

12

Answer

9

Question 2

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. Two small circular holes are punched through all layers: one near the right-angle corner and one in the center of the longest edge. What pattern will be visible when the paper is fully unfolded?

Accepted Answer

Two holes on one diagonal and two holes on the other diagonal.

Answer

Four holes in a diamond pattern along the diagonals, and four holes in a square pattern in the center.

Answer

Four holes forming a square in the center of the paper.

Answer

Two holes along the diagonal that was first folded.

Question 3

A 3D object is constructed from 5 identical cubes. It consists of a 2x2 square base (4 cubes) with one additional cube placed on top of the front-left cube. Which of the following correctly describes the Front View and the Top View of this object?

Accepted Answer

Front View: An 'L' shape, 2 cubes high on the left and 1 cube high on the right. Top View: A 2x2 square.

Answer

Front View: A 2x2 square. Top View: A 2x2 square.

Answer

Front View: An 'L' shape, 2 cubes high on the left and 1 cube high on the right. Top View: An 'L' shape.

Answer

Front View: A 2x1 vertical rectangle. Top View: A 2x2 square.

Question 4

A 2D pattern in the shape of a cross is made of six squares. If it is folded into a cube, which face is always opposite the face labeled '3'? The pattern is arranged with four squares in a vertical line, labeled 1, 2, 3, 4 from top to bottom. A square labeled 'L' is to the left of square 2, and a square labeled 'R' is to the right of square 2.

Accepted Answer

Face 1

Answer

Face L

Answer

Face 4

Answer

Face R

Question 5

You are presented with a 3D cube that has symbols on three visible faces: a solid circle on the top, a solid square on the front, and a solid triangle on the right side. Which of the following 2D patterns could be folded to form this exact cube?

Accepted Answer

A pattern where the square is central, the circle is directly above it, and the triangle is directly to the right of it.

Answer

A pattern where the circle, square, and triangle are arranged sequentially in a single row.

Answer

A pattern where the square is central, the circle is directly above it, and the triangle is directly to the left of it.

Answer

A pattern where the square and circle are adjacent, but the triangle is adjacent to the circle instead of the square.

Question 6

Four angles are presented for comparison. Angle A is slightly smaller than a right angle. Angle B is a straight line. Angle C is very small and acute. Angle D is clearly obtuse, about halfway between a right angle and a straight line. What is the correct order of the angles from smallest to largest?

Accepted Answer

C, A, D, B

Answer

A, C, D, B

Answer

C, D, A, B

Answer

B, D, A, C