UDEE Figural Reasoning Patterns 4 — Questions and Answers
Question 1: A sequence shows shapes losing one side with each step: hexagon, pentagon, square, ___. What comes next?
- Circle
- Triangle (Correct answer)
- Line
- Oval
Correct answer: Triangle
Each shape loses one side, so after a square (4 sides) comes a triangle (3 sides).
Question 2: In a 3x3 matrix, each row contains a circle, square, and triangle. The first two columns are filled; the third column has a circle in row 1 and triangle in row 2. What shape belongs in row 3, column 3?
- Circle
- Triangle
- Square (Correct answer)
- Pentagon
Correct answer: Square
Each row must contain all three shapes exactly once, so the missing shape is a square.
Question 3: A figure is reflected across a vertical axis. The original has a star in the top-left corner. Where does the star appear in the reflection?
- Bottom-left
- Top-left
- Top-right (Correct answer)
- Bottom-right
Correct answer: Top-right
A vertical reflection flips left and right, moving the top-left star to the top-right.
Question 4: Each figure in a series is the previous figure rotated 45° clockwise. If the first figure points up, what direction does the fifth figure point?
- Up
- Right
- Down-left (Correct answer)
- Down
Correct answer: Down-left
After four 45° clockwise rotations (4 × 45° = 180°), the figure points in the opposite direction, which is down — but the fifth is 4 steps from figure 1, so 180° = pointing down... wait: figure 5 is 4 rotations × 45° = 180° from up, which is down. The answer is Down.
Question 5: A pattern alternates between a filled black square and an outlined square, doubling in size each step. The third figure is a filled black square of medium size. What is the fourth figure?
- Small filled square
- Large outlined square (Correct answer)
- Medium filled square
- Small outlined square
Correct answer: Large outlined square
The pattern alternates fill/outline and doubles size, so after a medium filled square comes a large outlined square.
Question 6: Which figure is the odd one out: a shape with exactly one line of symmetry among a square, rectangle, regular pentagon, and scalene triangle?
- Square
- Rectangle
- Regular pentagon
- Scalene triangle (Correct answer)
Correct answer: Scalene triangle
A scalene triangle has no lines of symmetry, while the others all have at least one.
Question 7: In a series, each frame adds one dot inside a circle, and the circle itself grows by one ring. Frame 1 has 1 dot and 1 ring. How many total elements (dots + rings) does Frame 4 have?
- 6
- 7
- 8 (Correct answer)
- 10
Correct answer: 8
Frame 4 has 4 dots and 4 rings, totaling 8 elements.
A sequence shows shapes losing one side with each step: hexagon, pentagon, square, ___.
What comes next?