11+ Non-Verbal Reasoning 2

Question 1

Four shapes are shown: a large black circle, a small white circle, a large white square, and a small black square. Which shape completes the pattern based on size and colour alternation?

Accepted Answer

Small white square

Answer

The pattern alternates between large/small and black/white. Following the sequence, a small white square completes the pattern.

Question 2

A figure is made of 4 identical right-angled triangles arranged to form a square. If each triangle has legs of 3 cm and 4 cm, what is the side length of the square?

Accepted Answer

5 cm

Answer

When four right-angled triangles with legs 3 and 4 are arranged to form a square, the hypotenuse of each triangle (5 cm, by Pythagoras: 3² + 4² = 5²) forms the side of the square.

Question 3

In a sequence, each figure gains one additional line of symmetry. Figure 1 has 0 lines, Figure 2 has 1 line, Figure 3 has 2 lines. Which shape would be Figure 4?

Accepted Answer

Equilateral triangle (3 lines)

Answer

Figure 4 needs 3 lines of symmetry. An equilateral triangle has exactly 3 lines of symmetry.

Question 4

A shape is translated 3 units right and 2 units up. If it started at position (1, 1), where is it now?

Accepted Answer

(4, 3)

Answer

Starting at (1,1), moving 3 right gives x = 1+3 = 4, and 2 up gives y = 1+2 = 3. The new position is (4, 3).

Question 5

Which 3D shape has 5 faces, 8 edges, and 5 vertices?

Accepted Answer

Square-based pyramid

Answer

A square-based pyramid has 5 faces (4 triangles + 1 square base), 8 edges, and 5 vertices (4 base corners + 1 apex).

11+ Practice Test

11+ Practice Test

11+ Non-Verbal Reasoning 2