UDEE Figural Reasoning and Patterns 5 — Questions and Answers
Question 1: A cube has a star on its top face and a circle on its front face. The cube is tipped backward (the front face rises upward). Which face is now on top?
- The star face
- The circle face (Correct answer)
- The bottom face
- The back face
Correct answer: The circle face
Tipping the cube backward raises the front face to become the new top, so the circle face is now on top.
Question 2: A sequence shows: Figure 1 = small shape inside a large circle; Figure 2 = small circle inside a large triangle; Figure 3 = small triangle inside a large square. What is Figure 4?
- Small square inside a large circle (Correct answer)
- Small circle inside a large circle
- Small pentagon inside a large triangle
- Small square inside a large triangle
Correct answer: Small square inside a large circle
The inner shape follows circle→triangle→square→circle and the outer shape follows circle→triangle→square→circle with a one-step offset, giving a small square inside a large circle.
Question 3: In a figure analogy: a dark pentagon is to a light pentagon as a dark hexagon is to:
- A dark pentagon
- A light hexagon (Correct answer)
- A dark octagon
- A light pentagon
Correct answer: A light hexagon
The transformation changes fill from dark to light while the shape stays the same, so a dark hexagon becomes a light hexagon.
Question 4: A grid pattern shows shapes where the number of sides increases by 1 going left to right across a row and decreases by 1 going top to bottom in a column. If the top-left cell has a hexagon (6 sides), how many sides does the shape in the bottom-right cell of a 3×3 grid have?
- 4
- 5
- 6 (Correct answer)
- 7
Correct answer: 6
Moving 2 steps right adds 2 sides and moving 2 steps down subtracts 2 sides: 6 + 2 − 2 = 6, so the bottom-right cell has a hexagon (6 sides).
Question 5: A series of figures shows 1 shaded triangle in Figure 1, 3 in Figure 2, 6 in Figure 3, and 10 in Figure 4. How many shaded triangles are in Figure 5?
- 12
- 13
- 15 (Correct answer)
- 18
Correct answer: 15
The sequence is triangular numbers: each figure adds one more triangle than the previous step (1, +2, +3, +4, +5), so Figure 5 = 10 + 5 = 15.
Question 6: A figure shows a large square divided into four equal quadrants. The top-left quadrant is shaded. After two reflections — first across the vertical midline, then across the horizontal midline — which quadrant is shaded?
- Top-left
- Top-right
- Bottom-left
- Bottom-right (Correct answer)
Correct answer: Bottom-right
Reflecting across the vertical midline moves the shading to the top-right; then reflecting across the horizontal midline moves it to the bottom-right.
Question 7: A pattern matrix has the rule: the shape in each cell equals the shape directly above it rotated 90° clockwise. The top-left cell contains an upward-pointing arrow. What does the cell two rows below the top-left contain?
- An upward-pointing arrow
- A rightward-pointing arrow
- A downward-pointing arrow (Correct answer)
- A leftward-pointing arrow
Correct answer: A downward-pointing arrow
One row down = 90° clockwise (rightward arrow); two rows down = another 90° clockwise = downward-pointing arrow.
UDEE Figural Reasoning and Patterns 5
A cube has a star on its top face and a circle on its front face.
The cube is tipped backward (the front face rises upward).
Which face is now on top?