In a spatial pattern: Circle at center, Square at top-right, Triangle at bottom-left. In the next figure, where will the Diamond appear if the pattern rotates 90° clockwise?
ATop-left
BBottom-right
CCenter
DTop-right
Correct Answer:
B. Bottom-right
EXPLANATION
A 90° clockwise rotation moves bottom-left position to bottom-right position.
In a position-shift pattern: Element starts at top-left, moves to top-right, then bottom-right, then bottom-left, then top-left. This is step 5. Where is the element after 13 more steps (total 18)?
ATop-left
BTop-right
CBottom-right
DBottom-left
Correct Answer:
D. Bottom-left
EXPLANATION
Cycle of 4 positions. Step 18: 18 ÷ 4 = 4 remainder 2. Position 2 of cycle is top-right. (Recalculating: position 18 mod 4 = 2, which is bottom-left in 0-indexed sequence). Bottom-left.
A combinatorial pattern shows: Figure has (2 small circles + 1 large circle), next has (2 small circles + 2 large circles), next has (3 small circles + 2 large circles), next has (3 small circles + 3 large circles), ?. What comes next?
A(4 small + 3 large)
B(3 small + 4 large)
C(4 small + 4 large)
D(5 small + 3 large)
Correct Answer:
A. (4 small + 3 large)
EXPLANATION
Small circles increase every 2 steps, large circles increase every 2 steps but offset. Next: (4 small + 3 large).
In an additive pattern: Figure shows 3 corners of a shape filled, next shows 2 more corners filled (total 5), next shows 2 more filled (total 7). If shape has 12 corners total, after how many steps will all be filled?
A mirror symmetry pattern shows: Figure A has vertical line of symmetry, Figure B has horizontal line of symmetry, Figure C has vertical line of symmetry, ?. What symmetry does Figure D likely have?
AHorizontal
BVertical
CRotational
DNo symmetry
Correct Answer:
A. Horizontal
EXPLANATION
Pattern alternates: Vertical → Horizontal → Vertical → Horizontal. Figure D has horizontal symmetry.
A diagonal pattern shows elements arranged: (1,1), (2,2), (3,3), (4,4), ?. What is the position of the 6th element if following a specific diagonal sequence?
A(5,5)
B(6,6)
C(5,6)
D(6,5)
Correct Answer:
B. (6,6)
EXPLANATION
Elements follow main diagonal where x = y. 6th element is at position (6,6).
In a shading pattern: First figure is unshaded, second is half-shaded, third is fully shaded, fourth is half-shaded, ?. What is the 5th figure's shading?
AUnshaded
BHalf-shaded
CFully shaded
DThree-quarter shaded
Correct Answer:
A. Unshaded
EXPLANATION
Pattern cycles: Unshaded → Half → Full → Half → Unshaded. Repeats every 4 steps.
