RCAT Spatial Reasoning 2 — Questions and Answers
Question 1: Which net can be folded into a cube? (Assume options describe arrangement of 6 squares: A=cross shape, B=L-shape, C=row of 6, D=T-shape with extra)
- A (cross shape) (Correct answer)
- B (L-shape)
- C (row of 6)
- D (T-shape with extra)
Correct answer: A (cross shape)
A standard cross-shaped net (one center square with four attached and one on the side) folds into a valid cube.
Question 2: A rod is bent into a U-shape and viewed from the front — it appears as a rectangle. What does it look like from the top?
- Three parallel lines (two ends and the base)
- A single line (Correct answer)
- A rectangle
- An L-shape
Correct answer: A single line
Viewed from directly above a U-shape lying flat, you see a single horizontal line (the base).
Question 3: If a clock face is reflected in a mirror, what time does a clock showing 3:00 appear to show?
- 9:00 (Correct answer)
- 3:00
- 6:00
- 12:00
Correct answer: 9:00
Reflecting 3:00 horizontally moves the hour hand from the right side to the left, showing 9:00.
Question 4: A 4×4 grid has its top-right quadrant shaded. After rotating the grid 90° clockwise, which quadrant is shaded?
- Bottom-right (Correct answer)
- Top-left
- Bottom-left
- Top-right
Correct answer: Bottom-right
Rotating 90° clockwise moves top-right to bottom-right.
Question 5: Two identical right-angled triangles are placed with their hypotenuses together. What shape do they form?
- Rectangle (Correct answer)
- Square
- Parallelogram
- Rhombus
Correct answer: Rectangle
Two right-angled triangles joined at their hypotenuses form a rectangle.
Question 6: A cube is painted red on all faces and then cut into 27 equal smaller cubes. How many small cubes have paint on exactly two faces?
- 12 (Correct answer)
- 8
- 6
- 24
Correct answer: 12
Edge cubes (not corners) have exactly 2 painted faces; a 3×3×3 cube has 12 edge cubes.
RCAT Spatial Reasoning 2
Which net can be folded into a cube? (Assume options describe arrangement of 6 squares: A=cross shape, B=L-shape, C=row of 6, D=T-shape with extra)