Abstract Reasoning Flashcards

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.

Answer: 6-point

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

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?

Answer: 32

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

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?

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.

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?

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.

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?

Answer: Set A

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

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?

Answer: 1

4 arms − 1 per step × 3 steps = 1 arm remaining.