A pattern alternates between two shapes with increasing complexity: Simple star (5 points), Complex star (10 points), Simple star (5 points), Complex star (10 points). What is the 9th figure?
ASimple star (5 points)
BComplex star (10 points)
CStar with 15 points
DDouble star
Correct Answer:
A. Simple star (5 points)
EXPLANATION
Odd positions (1,3,5,7,9) have simple stars; even positions have complex stars.
Figures show: 1 corner shaded, 2 corners shaded, 3 corners shaded, 4 corners shaded. In a pentagon (5 corners), following the pattern, how many corners would be shaded?
A5 corners
B4 corners
C3 corners
DAll corners plus center
Correct Answer:
A. 5 corners
EXPLANATION
The pattern increases by 1 shaded corner each figure, so in a pentagon all 5 corners follow this logic.
A diagonal line in a 4×4 grid moves from top-left to bottom-right position, shifting one cell diagonally each step. After 3 complete cycles, where is the line?
ATop-left again
BCenter
CBottom-right
DTop-right
Correct Answer:
A. Top-left again
EXPLANATION
A diagonal pattern that cycles returns to its starting position after completing the cycle.
A number pattern in figures: 2, 4, 8, 16. The pattern then changes to show shapes. If each shape represents its corresponding number, how many shapes should the 5th figure contain?
A32 shapes
B24 shapes
C40 shapes
D64 shapes
Correct Answer:
A. 32 shapes
EXPLANATION
Each number doubles: 2×2=4, 4×2=8, 8×2=16, 16×2=32.
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).