11+ Non-Verbal Reasoning 4 — Questions and Answers
Question 1: In a pattern, each figure has one more side than the previous. If Figure 1 is a triangle, what is Figure 6?
- Hexagon
- Heptagon
- Octagon (Correct answer)
- Nonagon
Correct answer: Octagon
Figure 1 = triangle (3 sides), Figure 2 = 4 sides, Figure 3 = 5, Figure 4 = 6, Figure 5 = 7, Figure 6 = 8 sides = octagon.
Question 2: A shape is reflected in a horizontal line. The original shape is a right-pointing arrow at the top. What does the reflection show?
- Right-pointing arrow at the bottom (Correct answer)
- Left-pointing arrow at the top
- Left-pointing arrow at the bottom
- Right-pointing arrow at the top
Correct answer: Right-pointing arrow at the bottom
A horizontal mirror line flips the shape vertically (top to bottom) but does not change its horizontal direction. So a right-pointing arrow at the top becomes a right-pointing arrow at the bottom.
Question 3: In an analogy, a small dark triangle relates to a large light triangle. A small dark circle relates to what?
- Small light circle
- Large dark circle
- Large light circle (Correct answer)
- Small dark square
Correct answer: Large light circle
The relationship changes size (small → large) and shade (dark → light) while keeping the shape the same. So a small dark circle becomes a large light circle.
Question 4: A pattern of dots is shown: Row 1 has 1 dot, Row 2 has 3 dots, Row 3 has 5 dots. These form a triangular number pattern. How many dots are in Row 7?
- 11
- 13 (Correct answer)
- 15
- 17
Correct answer: 13
The pattern is odd numbers: 1, 3, 5, 7, 9, 11, 13. Row 7 has 13 dots.
Question 5: A complete figure has two lines of symmetry — one vertical and one horizontal. The top-left quarter shows a black triangle. What must be in the bottom-right quarter?
- Black triangle pointing the same way
- Black triangle reflected twice (Correct answer)
- White triangle
- No triangle
Correct answer: Black triangle reflected twice
The bottom-right quarter is the result of reflecting the top-left quarter first in the vertical line, then in the horizontal line (or vice versa). This is equivalent to a 180-degree rotation.
Question 6: Looking at a sequence: Figure 1 has 1 small square inside a large square. Figure 2 has 4 small squares (2×2) inside a large square. Figure 3 has 9 small squares (3×3). How many small squares are in Figure 6?
- 24
- 30
- 36 (Correct answer)
- 42
Correct answer: 36
The number of small squares follows the square number pattern: 1, 4, 9, 16, 25, 36. Figure 6 has 6² = 36 small squares.
11+ Non-Verbal Reasoning 4
In a pattern, each figure has one more side than the previous.
If Figure 1 is a triangle, what is Figure 6?