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Spatial Reasoning

Spatial Reasoning

Rotations, mirrors, folds, cube nets and 3D shapes, each described clearly in words. A practice set for fun — not an official or clinical IQ test.

12 questions12 minMediumKnowledge

What's inside this quiz

12 questions in the IQ & Logic category, about 12 min. Here are the questions you'll answer — correct answers and explanations appear as you play.

See the questions
  1. You face north, turn 90° to your right, then turn 180°. Which way are you facing now?
  2. A cylinder is sliced by a flat cut parallel to its base. What shape is the cut surface?
  3. On a cube, how many other faces share an edge with any one face?
  4. How many faces does a triangular prism (like a tent shape closed at both ends) have?
  5. Which capital letter looks exactly the same after a half turn (180° rotation)?
  6. Which capital letter looks the same in a mirror held to its side (left and right swapped)?
  7. On a standard die, opposite faces add up to 7. The top shows 2 and the front shows 3. What is on the bottom?
  8. A clock seen in a mirror appears to show exactly 3:00. What time is it really?
  9. You walk 3 m north, then 4 m east. How far are you in a straight line from where you started?
  10. A square sheet is folded in half, then in half again. One hole is punched through all layers, away from the edges. How many holes appear when it is unfolded?
  11. A cube net is shaped like a cross: a centre square C with one square on each side (top, bottom, left, right), plus one extra square X attached below the bottom square. When folded into a cube, which face is opposite C?
  12. A 3 × 3 × 3 cube is painted on the outside, then cut into 27 small cubes. How many small cubes have exactly two painted faces?

Instructions

Suggested time: 12 minutes. 12 questions, from easy to hard. Every shape is described in words, so picture it in your mind or sketch it on paper. An explanation appears after every answer. This is a non-standardized practice set for entertainment and training; it does not measure or produce an IQ score.

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