UDEE Figural Reasoning and Patterns 5

Question 1

A cube has a star on its top face and a circle on its front face. The cube is tipped backward (the front face rises upward). Which face is now on top?

Accepted Answer

The circle face

Answer

Tipping the cube backward raises the front face to become the new top, so the circle face is now on top.

Question 2

A sequence shows: Figure 1 = small shape inside a large circle; Figure 2 = small circle inside a large triangle; Figure 3 = small triangle inside a large square. What is Figure 4?

Accepted Answer

Small square inside a large circle

Answer

The inner shape follows circle→triangle→square→circle and the outer shape follows circle→triangle→square→circle with a one-step offset, giving a small square inside a large circle.

Question 3

In a figure analogy: a dark pentagon is to a light pentagon as a dark hexagon is to:

Accepted Answer

A light hexagon

Answer

The transformation changes fill from dark to light while the shape stays the same, so a dark hexagon becomes a light hexagon.

Question 4

A grid pattern shows shapes where the number of sides increases by 1 going left to right across a row and decreases by 1 going top to bottom in a column. If the top-left cell has a hexagon (6 sides), how many sides does the shape in the bottom-right cell of a 3×3 grid have?

Accepted Answer

6

Answer

Moving 2 steps right adds 2 sides and moving 2 steps down subtracts 2 sides: 6 + 2 − 2 = 6, so the bottom-right cell has a hexagon (6 sides).

Question 5

A series of figures shows 1 shaded triangle in Figure 1, 3 in Figure 2, 6 in Figure 3, and 10 in Figure 4. How many shaded triangles are in Figure 5?

Accepted Answer

15

Answer

The sequence is triangular numbers: each figure adds one more triangle than the previous step (1, +2, +3, +4, +5), so Figure 5 = 10 + 5 = 15.

UDEE - Uniformed Division Entrance Exam Practice Test

UDEE - Uniformed Division Entrance Exam Practice Test

UDEE Figural Reasoning and Patterns 5