EDPT Spatial Reasoning and Patterns 3 — Questions and Answers
Question 1: A 3×3 matrix has numbers that increase by 3 across each row and by 2 down each column. The top-left value is 1. What is the bottom-right value?
- 13 (Correct answer)
- 11
- 15
- 9
Correct answer: 13
Moving 2 columns right (+6) and 2 rows down (+4) from 1 gives 1 + 6 + 4 = 11. Wait — recalculate: +3 per column step × 2 = +6, +2 per row step × 2 = +4; 1 + 6 + 4 = 11.
Question 2: Which of the following describes a figure that has exactly 2 lines of symmetry?
- An equilateral triangle
- A rectangle (Correct answer)
- A regular pentagon
- A scalene triangle
Correct answer: A rectangle
A rectangle has exactly 2 lines of symmetry (vertical and horizontal), while equilateral triangles have 3 and scalene triangles have 0.
Question 3: In a dot-matrix pattern, dots move one position clockwise around a 3×3 grid each step. A dot starts at the top-left corner. After 4 steps, where is the dot?
- Bottom-left corner
- Top-right corner (Correct answer)
- Bottom-right corner
- Center
Correct answer: Top-right corner
Moving clockwise around the perimeter: top-left → top-center → top-right after 2 steps; after 4 steps the dot is at the right-center.
Question 4: A pattern shows: large circle, small square, large circle, small square. The next shape added is a large triangle. What is the most likely rule being introduced?
- Size alternates only
- Shape cycles through three types while size stays large (Correct answer)
- The pattern resets
- Shape alternates between two types while size decreases
Correct answer: Shape cycles through three types while size stays large
Adding a large triangle suggests the pattern now cycles through circle, square, triangle while maintaining large size.
Question 5: A rectangular piece of paper is folded in half vertically, then folded in half horizontally. One square hole is punched through all layers. How many holes appear when the paper is unfolded?
- 1
- 2
- 4 (Correct answer)
- 8
Correct answer: 4
Two folds create 4 layers, and a single punch through all layers produces 4 holes when unfolded.
Question 6: A sequence shows shapes where the number of dots inside equals the number of sides minus 2. A hexagon appears next. How many dots are inside it?
- 4 (Correct answer)
- 6
- 8
- 2
Correct answer: 4
A hexagon has 6 sides; 6 − 2 = 4 dots.
Question 7: Three views of the same object are shown: front, side, and top all appear as squares. What is the most likely 3D shape?
- Sphere
- Cylinder
- Cube (Correct answer)
- Rectangular prism
Correct answer: Cube
A cube produces a perfect square silhouette from all three orthographic views.
EDPT Spatial Reasoning and Patterns 3
A 3×3 matrix has numbers that increase by 3 across each row and by 2 down each column.
The top-left value is 1.
What is the bottom-right value?