UCAT Abstract Reasoning 2 — Questions and Answers
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.
- 5-point
- 6-point (Correct answer)
- 7-point
- 8-point
Correct answer: 6-point
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?
- 16
- 24
- 32 (Correct answer)
- 64
Correct answer: 32
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?
- Arrow pointing right (Correct answer)
- Arrow pointing left
- Arrow pointing up
- Arrow pointing down
Correct answer: Arrow pointing right
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?
- Black-grey-white
- Grey-black-white
- White-black-grey (Correct answer)
- White-grey-black
Correct answer: White-black-grey
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?
- Set A (Correct answer)
- Set B
- Neither
- Both
Correct answer: Set A
A semicircle has a curved edge (the arc), so it belongs to Set A.
Question 6: A sequence of figures shows a cross with one arm removed each step. Starting with a 4-arm cross, how many arms remain after 3 steps?
- 0
- 1 (Correct answer)
- 2
- 3
Correct answer: 1
4 arms − 1 per step × 3 steps = 1 arm remaining.
UCAT Abstract Reasoning 2
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.