UCAT Abstract Reasoning 4

Question 1

A pattern rule: in each figure, the number of shapes equals the figure number squared. Figure 1 = 1 shape. How many shapes are in Figure 4?

Accepted Answer

16

Answer

12

Answer

8

Answer

4

Question 2

In a sequence, each figure is the previous figure reflected horizontally. Figure 1: arrow pointing right. Figure 3 points:

Accepted Answer

Right

Answer

Left

Answer

Up

Answer

Down

Question 3

A 3×3 grid has shapes that follow a diagonal rule: each diagonal contains identical shapes. Top-left to bottom-right diagonal: all circles. What shape is in the centre cell if the anti-diagonal is all triangles and the centre cell is on both diagonals?

Accepted Answer

Triangle

Answer

The centre cell must satisfy both diagonals — impossible unless the shape is both, suggesting the puzzle uses a different shape at intersections; the expected answer is 'star' as a neutral placeholder

Answer

Circle

Answer

Square

Question 4

Each step in a sequence: the outer shape gains one side, the inner shape loses one side. Step 1: pentagon outside, pentagon inside. Step 3: ___ outside, ___ inside.

Accepted Answer

Heptagon outside, triangle inside

Answer

Hexagon outside, triangle inside

Answer

Heptagon outside, square inside

Answer

Hexagon outside, square inside

Question 5

In Set A, every figure has exactly one axis of symmetry. In Set B, figures have two or more axes. Where does a regular pentagon belong?

Accepted Answer

Set B — 5 lines of symmetry

Answer

Set A — 5 lines, so Set B

Answer

Set A — 1 line

Answer

Neither — no symmetry

Question 6

A sequence: small black circle, medium white circle, large black circle, small white circle, medium black circle, ___. What comes next?

Accepted Answer

Large white circle

Answer

Small black circle

Answer

Medium white circle

Answer

Large black circle

A pattern rule: in each figure, the number of shapes equals the figure number squared.Figure 1 = 1 shape.How many shapes are in Figure 4?

A pattern rule: in each figure, the number of shapes equals the figure number squared.
Figure 1 = 1 shape.
How many shapes are in Figure 4?