11+ Non-Verbal Reasoning 3 — Questions and Answers
Question 1: A shape is rotated 180 degrees. It originally looked like the letter 'L'. What does it look like now?
- Like a backwards L (⌐)
- Like an upside-down L (Γ) (Correct answer)
- Like a rotated L (⌐ flipped)
- Like the letter J
Correct answer: Like an upside-down L (Γ)
Rotating the letter L by 180 degrees turns it upside down, creating a shape like the Greek letter Gamma (Γ), with the horizontal line at the top going right and the vertical line going down.
Question 2: Which shape has rotational symmetry of order 4 but no lines of symmetry?
- Square
- Circle
- A pinwheel with 4 curved blades (Correct answer)
- Regular octagon
Correct answer: A pinwheel with 4 curved blades
A pinwheel (or triskele-like shape with 4 curved blades) has rotational symmetry of order 4 (looks the same 4 times in a full turn) but the curved blades mean it has no lines of symmetry.
Question 3: Three views of the same cube are shown. One face is black, one is grey, one has stripes, one has dots, one is white, one has a cross. If black is on top and stripes face you, what is on the bottom?
- White (Correct answer)
- Grey
- Dots
- Cross
Correct answer: White
Based on the three views of the cube, when black is on top and stripes face you, the opposite face (bottom) is white.
Question 4: A sequence shows a triangle moving around the corners of a square, visiting each corner in turn. After 6 moves, which corner is the triangle at?
- Top-left (starting position)
- Top-right
- Bottom-right (Correct answer)
- Bottom-left
Correct answer: Bottom-right
A square has 4 corners. After 6 moves: 6 mod 4 = 2. Starting at top-left (position 0), after 2 moves the triangle is at the bottom-right corner.
Question 5: A figure consists of overlapping shapes. A circle overlaps a square. The overlapping region is shaded. If the circle moves to the right and no longer overlaps, what happens to the shaded region?
- It stays in the same place
- It disappears (Correct answer)
- It moves with the circle
- It stays with the square
Correct answer: It disappears
The shaded region represents the overlap between the two shapes. If the circle moves away and there is no longer any overlap, the shaded region disappears entirely.
Question 6: A 2D net is folded into a 3D shape. The net is a rectangle with two circles attached to the shorter ends. What 3D shape does it form?
- Cone
- Cylinder (Correct answer)
- Sphere
- Cuboid
Correct answer: Cylinder
A rectangle that curves to form a tube, with circles at each end, forms a cylinder. The rectangle becomes the curved surface and the circles become the flat ends.
11+ Non-Verbal Reasoning 3
A shape is rotated 180 degrees.
It originally looked like the letter 'L'.
What does it look like now?