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

Figure 4: 4² = 16 shapes.

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

F1: right. F2: reflected → left. F3: reflected again → right. Even reflections return to original.

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

In UCAT abstract reasoning, when a cell lies on two diagonals with conflicting rules, the test typically uses a neutral shape (triangle is the second rule's shape). The expected answer follows the anti-diagonal rule: triangle.

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

Outer: 5+1+1 = 7 (heptagon). Inner: 5−1−1 = 3 (triangle). Two steps of change applied to each.

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

A regular pentagon has 5 lines of symmetry, which is two or more. It belongs to Set B.

UCAT Practice Test

UCAT Practice Test

UCAT Abstract Reasoning 4