UDEE Figural Reasoning and Patterns 4 — Questions and Answers
Question 1: A 3×3 matrix shows shapes gaining one interior line per column (left to right). The top row has: plain circle, circle with 1 diameter, circle with 2 diameters. The middle-left cell is a plain triangle. What is in the middle-right cell?
- A plain triangle
- A triangle with one interior line
- A triangle with two interior lines (Correct answer)
- A triangle with three interior lines
Correct answer: A triangle with two interior lines
Each column adds one interior line, so the rightmost column (column 3) has two interior lines regardless of shape.
Question 2: A square sheet has a circular hole punched in the upper-left quadrant. The sheet is then folded in half vertically (right flap folds over left). Where do the holes appear when the sheet is fully unfolded?
- Upper-left only
- Upper-right only
- Both upper-left and upper-right (Correct answer)
- Center of the sheet
Correct answer: Both upper-left and upper-right
Folding the right half over the left mirrors the upper-left hole to the upper-right position, so unfolding reveals holes in both upper quadrants.
Question 3: A paper is folded in half twice (first horizontally, then vertically) and a small square notch is cut from the center-fold corner. How many holes appear when the paper is fully unfolded?
- 1
- 2
- 3
- 4 (Correct answer)
Correct answer: 4
Two folds create 4 stacked layers, so one cut through all layers produces 4 holes when unfolded.
Question 4: A sequence of overlapping shapes cycles as follows: Step 1 = circle on top of square; Step 2 = square on top of triangle; Step 3 = triangle on top of circle. What is Step 5?
- Circle on top of square
- Square on top of triangle (Correct answer)
- Triangle on top of circle
- Pentagon on top of circle
Correct answer: Square on top of triangle
The three-step cycle repeats, so Step 5 = Step 2 = square on top of triangle.
Question 5: A T-shape starts pointing upward and rotates 90° clockwise each step. In which direction does it point after exactly 6 rotations?
- Upward
- Rightward (Correct answer)
- Downward
- Leftward
Correct answer: Rightward
6 ÷ 4 = 1 remainder 2, so after 6 rotations the T-shape is in the same position as after 2 rotations: pointing rightward.
Question 6: A 3×3 matrix uses three fill types: solid black, gray, and white. Each row and each column contains each fill type exactly once. Row 1 is black, gray, white and Row 2 starts with gray. What fill type is in the bottom-left cell?
- Black
- Gray
- White (Correct answer)
- Cannot be determined
Correct answer: White
Column 1 already has black (Row 1) and gray (Row 2), so the bottom-left cell must be white.
Question 7: A figure shows concentric rings where Figure 1 has 1 ring, Figure 2 has 2 rings, and so on. How many rings does Figure 8 have?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
The number of rings equals the figure number directly, so Figure 8 has 8 rings.
UDEE Figural Reasoning and Patterns 4
A 3×3 matrix shows shapes gaining one interior line per column (left to right).
The top row has: plain circle, circle with 1 diameter, circle with 2 diameters.
The middle-left cell is a plain triangle.
What is in the middle-right cell?