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.

Question 9

Five people sit in a row. Ann is left of Ben. Carl is right of Ben. Dana is left of Ann. Eli is right of Carl. Who sits in the middle?

Accepted Answer

Ben. Order from left is Dana, Ann, Ben, Carl, Eli — Ben occupies position 3, the middle seat.

Question 10

Which shape, described in words, has the MOST lines of symmetry?

Accepted Answer

Regular hexagon. A regular hexagon has 6 lines of symmetry, more than the triangle (3), square (4), or pentagon (5).

Question 11

Which number completes the grid? Row1: 4,9,2 | Row2: 3,5,7 | Row3: 8,1,?

Accepted Answer

6. This is a 3×3 magic square (Lo Shu); every row, column, and diagonal sums to 15, so the missing value is 6.

Question 12

Imagine a clock face. The hour hand points at 3, the minute hand at 9. What is the angle between them?

Accepted Answer

180°. 3 o'clock = 90° from 12; 9 o'clock = 270° from 12; the difference is 180°, a straight line.

Question 13

A man walks 3 km north, 4 km east, 3 km south. How far is he from his start point, in km?

Accepted Answer

4. North and south cancel; he is left only 4 km east of start, so displacement is exactly 4 km.

Question 14

A cube is painted red, then cut into 27 equal smaller cubes. How many small cubes have NO red faces?

Accepted Answer

1. Only the single interior cube (the 3×3×3 center) has no painted faces.

Question 15

A man walks 3 km north, 4 km east, 3 km south. How far is he from his starting point in a straight line?

Accepted Answer

4 km. North and south cancel; he ends up exactly 4 km east of his starting point.

Question 16

A man walks 3 km north, 4 km east, 3 km south. How far is he from the start?

Accepted Answer

4 km. North and south cancel; he is displaced only 4 km east of his starting point.

Question 17

A cube is painted red and cut into 27 equal smaller cubes. How many small cubes have paint on exactly 2 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 yielding 1 such piece.

Question 18

Which figure completes the pattern? Row 1: ○ □ △. Row 2: □ △ ○. Row 3: △ ○ ___?

Accepted Answer

□. Each row and column contains each shape exactly once (Latin square); the missing shape must be □.

Spatial-In-WordsTrivia Questions & Answers

Spatial-In-Words Quiz — 18 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?

9. Five people sit in a row. Ann is left of Ben. Carl is right of Ben. Dana is left of Ann. Eli is right of Carl. Who sits in the middle?

10. Which shape, described in words, has the MOST lines of symmetry?

11. Which number completes the grid? Row1: 4,9,2 | Row2: 3,5,7 | Row3: 8,1,?

12. Imagine a clock face. The hour hand points at 3, the minute hand at 9. What is the angle between them?

13. A man walks 3 km north, 4 km east, 3 km south. How far is he from his start point, in km?

14. A cube is painted red, then cut into 27 equal smaller cubes. How many small cubes have NO red faces?

15. A man walks 3 km north, 4 km east, 3 km south. How far is he from his starting point in a straight line?

16. A man walks 3 km north, 4 km east, 3 km south. How far is he from the start?

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

18. Which figure completes the pattern? Row 1: ○ □ △. Row 2: □ △ ○. Row 3: △ ○ ___?

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