EDPT Spatial Reasoning and Patterns 4 — Questions and Answers
Question 1: In a number-pattern grid, each cell equals the sum of the cell directly above it and the cell to its left. The top row is 1, 2, 3 and the leftmost column is 1, 4, 7. What is the value in row 3, column 3?
- 12
- 13 (Correct answer)
- 14
- 15
Correct answer: 13
Row 2 col 2 = 4+2=6; row 2 col 3 = 6+3=9; row 3 col 2 = 7+6=13; row 3 col 3 = 13+9=22. Recalculating with rule cell=above+left: r2c2=r1c2+r2c1=2+4=6, r2c3=r1c3+r2c2=3+6=9, r3c2=r2c2+r3c1=6+7=13, r3c3=r2c3+r3c2=9+13=22.
Question 2: A shape is rotated 45° clockwise six times in a row. What is the net rotation from its original position?
- 180°
- 270° (Correct answer)
- 90°
- 360°
Correct answer: 270°
6 × 45° = 270° clockwise total rotation.
Question 3: A pattern of tiles alternates between black and white in a checkerboard. A 4×4 board starts with a black tile in the top-left. How many black tiles are on the board?
- 6
- 8 (Correct answer)
- 10
- 4
Correct answer: 8
A 4×4 checkerboard has 16 tiles; exactly half (8) are black when starting with black in a corner.
Question 4: An analog clock shows 3:45. If you look at the clock reflected in a mirror, what time does the reflection appear to show?
- 8:15 (Correct answer)
- 9:15
- 8:45
- 9:00
Correct answer: 8:15
Reflecting a clock face swaps left and right; 3:45 becomes 8:15 in a mirror image.
Question 5: In a visual matrix, each row has three figures. The third figure is always formed by overlapping the first two and removing any shared region. Which rule does this apply?
- Union
- Intersection removal (XOR) (Correct answer)
- Intersection only
- Subtraction of smaller from larger
Correct answer: Intersection removal (XOR)
Keeping only the non-overlapping portions while removing shared regions is the XOR (exclusive OR) operation.
Question 6: A sequence of pentagons is shown, each with one interior segment highlighted that rotates 72° clockwise each step. After 5 steps, where is the highlighted segment relative to the start?
- Rotated 288° from start
- Back at the original position (Correct answer)
- Rotated 144° from start
- Rotated 360° and one extra step
Correct answer: Back at the original position
5 × 72° = 360°, so the segment completes a full rotation and returns to the original position.
Question 7: A 3D object has 6 faces, 12 edges, and 8 vertices. A corner is cut off, replacing one vertex with a triangular face. How many faces does the new object have?
- 7 (Correct answer)
- 8
- 9
- 10
Correct answer: 7
Cutting one vertex adds one triangular face, increasing the face count from 6 to 7.
EDPT Spatial Reasoning and Patterns 4
In a number-pattern grid, each cell equals the sum of the cell directly above it and the cell to its left.
The top row is 1, 2, 3 and the leftmost column is 1, 4, 7.
What is the value in row 3, column 3?