11+ Spatial Awareness 1 — Questions and Answers
Question 1: If you look at a clock in a mirror, the time appears to show 3:00. What is the actual time?
- 9:00 (Correct answer)
- 3:00
- 6:00
- 12:00
Correct answer: 9:00
A mirror reverses the image horizontally. When a clock shows 3:00 in a mirror, the actual time is 9:00, as the hands are reversed.
Question 2: A cube is painted red on all faces, then cut into 27 equal smaller cubes (3×3×3). How many small cubes have exactly two red faces?
- 8
- 12 (Correct answer)
- 6
- 1
Correct answer: 12
Edge cubes (not at corners) have exactly 2 painted faces. A 3×3×3 cube has 12 edges, each with 1 middle cube = 12 cubes with 2 red faces.
Question 3: If you fold a square piece of paper in half diagonally, what shape do you get?
- Rectangle
- Triangle (Correct answer)
- Pentagon
- Smaller square
Correct answer: Triangle
Folding a square along its diagonal creates a right-angled isosceles triangle.
Question 4: A building is viewed from the front and appears as a rectangle. From the side, it also appears as a rectangle. From above, it appears as a square. What shape is the building?
- Cube or cuboid (Correct answer)
- Cylinder
- Pyramid
- Cone
Correct answer: Cube or cuboid
A cube (or square-based cuboid) shows rectangles from the front and side, and a square from above.
Question 5: You are facing north. You turn 270 degrees clockwise. Which direction are you now facing?
- East
- West (Correct answer)
- South
- North
Correct answer: West
Starting at north, turning 270° clockwise: 90° = East, 180° = South, 270° = West.
Question 6: Two identical right-angled triangles are placed together along their longest side. What shape can they form?
- Square
- Rectangle (Correct answer)
- Parallelogram
- Any of these, depending on the triangle
Correct answer: Rectangle
When two identical right-angled triangles are joined along their hypotenuse (longest side), they form a rectangle. If the triangle is isosceles, they form a square (which is a special rectangle).
If you look at a clock in a mirror, the time appears to show 3:00.
What is the actual time?