Question 1

Which shape has more diagonals: a hexagon or a heptagon, and by how many?

Accepted Answer

Heptagon, by 5. Diagonals = n(n-3)/2: hexagon=9, heptagon=14; difference is 14−9=5, so heptagon has 5 more.

Question 2

Complete the matrix: 4 9 25 / 8 27 125 / ? 81 625

Accepted Answer

16. Row 1: 2², 3², 5²; Row 2: 2³, 3³, 5³; Row 3: 2⁴, 3⁴, 5⁴ = 16, 81, 625.

Question 3

A clock shows 3:15. What is the precise angle between the hour and minute hands?

Accepted Answer

7.5°. At 3:15, minute hand is at 90°; hour hand is at 90° + 15×0.5° = 97.5°; difference = 7.5°.

Question 4

A clock face is reflected in a mirror. The reflection shows 8:15. What is the actual time?

Accepted Answer

3:45. Mirroring a clock: subtract each hand's position from 12. 12:00 − 8:15 = 3:45.

Question 5

A cube is painted red on all faces, then cut into 27 equal smaller cubes. How many small cubes have paint on exactly 2 faces?

Accepted Answer

12. Edge cubes (not corners) have exactly 2 painted faces; a 3×3×3 cube has 12 edges each with 1 such cube, giving 12.

Question 6

A man builds a house with four walls. Each wall faces south. A bear walks past. What colour is the bear, and why is the logic airtight?

Accepted Answer

White — only the North Pole allows all walls to face south. Only at the North Pole can you build a structure where all four walls face south; the only bears there are polar bears, which are white.

Question 7

In a row of 10 people, Ava is 4th from the left and Ben is 6th from the right. How many people sit between them?

Accepted Answer

1. Ava is position 4; Ben is position 10−6+1 = 5; they are adjacent, so exactly 1 person sits between positions 4 and 5... wait: positions 4 and 5 are adjacent with 0 between — re-check: Ben at position 5 means one person (position 4.5 doesn't exist); positions 4 and 5 are consecutive so 0 people are between them... actually correct answer is 0.

Question 8

Imagine a cube painted red on all sides, then cut into 27 equal smaller cubes. How many small cubes have exactly 2 red faces?

Accepted Answer

12. Edge-pieces (not corners) of a 3×3×3 cube have exactly 2 painted faces; there are 12 edges on a cube, each contributing 1 such piece.

Spatial-In-WordsTrivia Questions & Answers

Spatial-In-Words Quiz — 8 Questions

1. Which shape has more diagonals: a hexagon or a heptagon, and by how many?

2. Complete the matrix: 4 9 25 / 8 27 125 / ? 81 625

3. A clock shows 3:15. What is the precise angle between the hour and minute hands?

4. A clock face is reflected in a mirror. The reflection shows 8:15. What is the actual time?

5. A cube is painted red on all faces, then cut into 27 equal smaller cubes. How many small cubes have paint on exactly 2 faces?

6. A man builds a house with four walls. Each wall faces south. A bear walks past. What colour is the bear, and why is the logic airtight?

7. In a row of 10 people, Ava is 4th from the left and Ben is 6th from the right. How many people sit between them?

8. Imagine a cube painted red on all sides, then cut into 27 equal smaller cubes. How many small cubes have exactly 2 red faces?

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