UCAT Abstract Reasoning

Question 1

A sequence of shapes has the following number of sides: 3, 5, 7, 9, ___. What number of sides does the next shape have?

Accepted Answer

11

Answer

Each term increases by 2, following the odd number sequence: 3, 5, 7, 9, 11.

Question 2

In Set A, all shapes are filled black. In Set B, all shapes are white (unshaded). A grey triangle is shown as a test shape. Which set does it belong to?

Accepted Answer

Neither set

Answer

The grey triangle is neither fully black (Set A) nor fully white (Set B), so it belongs to neither set.

Question 3

A sequence shows shapes with an increasing number of black dots: 1 dot, 3 dots, 6 dots, 10 dots. How many dots appear in the next shape?

Accepted Answer

15

Answer

The differences between terms are +2, +3, +4, +5, so the next term is 10 + 5 = 15 (triangular numbers).

Question 4

In a 3×3 grid, each row and each column must contain exactly one circle, one square, and one triangle. Row 1: circle, square, triangle. Row 2: triangle, circle, square. What must Row 3 be?

Accepted Answer

Square, triangle, circle

Answer

Column 1 already has circle and triangle so needs square; column 2 has square and circle so needs triangle; column 3 has triangle and square so needs circle.

Question 5

A pattern alternates between open circles (○) and filled circles (●): ○, ●, ○, ●, ○... What is the 12th shape in the sequence?

Accepted Answer

Filled circle (●)

Answer

Odd positions are open circles and even positions are filled circles; position 12 is even, so it is a filled circle.

UCAT Practice Test

UCAT Practice Test

UCAT Abstract Reasoning