11+ Non-Verbal Reasoning 3

Question 1

A shape is rotated 180 degrees. It originally looked like the letter 'L'. What does it look like now?

Accepted Answer

Like an upside-down L (Γ)

Answer

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?

Accepted Answer

A pinwheel with 4 curved blades

Answer

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?

Accepted Answer

White

Answer

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?

Accepted Answer

Bottom-right

Answer

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?

Accepted Answer

It disappears

Answer

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.

11+ Practice Test

11+ Practice Test

11+ Non-Verbal Reasoning 3