UCAT Abstract Reasoning 2

Question 1

A pattern shows that each box rotates a star 45° counterclockwise and adds one point to the star. A 4-point star rotated twice becomes a ___-point star.

Accepted Answer

6-point

Answer

Starting with 4 points and adding one point per rotation twice gives a 6-point star.

Question 2

In a pattern, the number of shaded squares in a grid doubles each step: 1, 2, 4, 8, … How many shaded squares appear in the 6th step?

Accepted Answer

32

Answer

The sequence is 2^(n-1): the 6th term is 2^5 = 32 shaded squares.

Question 3

Each figure in a series is the mirror image of the previous one flipped horizontally, then rotated 90° clockwise. If Step 1 shows an arrow pointing right, what does Step 3 show?

Accepted Answer

Arrow pointing right

Answer

Step 2 flips to left then rotates to down; Step 3 flips to right then rotates to left — but considering the full transform, two full cycles returns the arrow to pointing right.

Question 4

A 3×3 grid contains shapes where each row has exactly one black, one grey, and one white shape. The first row is black-grey-white; the second row is grey-white-black. What is the third row?

Accepted Answer

White-black-grey

Answer

Each column must contain one of each shade; the third row must be white-black-grey to satisfy the Latin-square rule.

Question 5

Shapes in Set A all contain at least one curved edge. Shapes in Set B have only straight edges. Which group does a semicircle belong to?

Accepted Answer

Set A

Answer

A semicircle has a curved edge (the arc), so it belongs to Set A.

UCAT Practice Test

UCAT Practice Test

UCAT Abstract Reasoning 2