UDEE Figural Reasoning Patterns 5 — Questions and Answers
Question 1: A grid pattern has shading that moves one cell to the right each row. In row 3, the shaded cell is in column 3. In which column is the shaded cell in row 5?
- Column 4
- Column 5 (Correct answer)
- Column 6
- Column 2
Correct answer: Column 5
The shaded cell advances one column per row, so from column 3 in row 3, it reaches column 5 in row 5.
Question 2: Two overlapping shapes create three regions: left-only, overlap, right-only. If the left shape is a triangle and the right is a circle, what describes the overlap region's boundary?
- Straight lines only
- Curved lines only
- Both straight and curved lines (Correct answer)
- No boundary
Correct answer: Both straight and curved lines
The overlap region is bounded by part of the triangle's straight edges and part of the circle's curved edge.
Question 3: A figure series shows: large dark circle, medium gray circle, small white circle, large dark circle, medium gray circle, ___. What comes next?
- Large white circle
- Small gray circle
- Small white circle (Correct answer)
- Medium dark circle
Correct answer: Small white circle
The three-element cycle (large dark, medium gray, small white) repeats, and the sixth position matches the third: small white circle.
Question 4: A shape is folded in half along a horizontal line, then a hole is punched through both layers in the upper-left area. When unfolded, where do the holes appear?
- Upper-left only
- Upper-left and lower-left (Correct answer)
- Center of the shape
- Upper-right and lower-right
Correct answer: Upper-left and lower-left
A horizontal fold reflects the upper half onto the lower half, so one punch creates symmetric holes in the upper-left and lower-left.
Question 5: In a pattern, each shape gains an additional internal line of symmetry compared to the previous shape: circle (infinite), square (4), equilateral triangle (3), ___. What shape logically follows?
- Regular pentagon (5)
- Isosceles triangle (1)
- Rectangle (2) (Correct answer)
- Scalene triangle (0)
Correct answer: Rectangle (2)
The sequence decreases in lines of symmetry: infinite → 4 → 3 → 2, so a rectangle with 2 lines of symmetry follows.
Question 6: A 4-step series rotates a capital letter 'R' by 90° counterclockwise each step. Starting upright, what does the letter look like after 3 rotations?
- Upright (normal)
- Upside down
- Mirrored and lying on its back (Correct answer)
- Lying on its face pointing left
Correct answer: Mirrored and lying on its back
Three counterclockwise 90° rotations equal 270° counterclockwise (or 90° clockwise), placing the 'R' on its back facing right — mirrored and horizontal.
Question 7: A figure contains a small triangle inside a larger triangle inside a circle. Which figure would NOT be created by removing exactly one shape from this figure?
- Small triangle inside a circle
- Large triangle inside a circle
- Small triangle inside a large triangle
- Circle inside a large triangle (Correct answer)
Correct answer: Circle inside a large triangle
Removing one shape cannot place the circle inside the triangle, since the circle is the outermost shape.
UDEE Figural Reasoning Patterns 5
A grid pattern has shading that moves one cell to the right each row.
In row 3, the shaded cell is in column 3.
In which column is the shaded cell in row 5?