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.
A geometric pattern shows: First square divided into 4 parts, Second square divided into 9 parts, Third square divided into 16 parts. Fourth square should be divided into how many parts?
A sequence uses conditional logic: If figure has odd sides, shade it. If figure has even sides, leave it unshaded. In sequence: Triangle (shaded), Square (unshaded), Pentagon (?), Hexagon (?). What should be the shading pattern?
AShaded, Shaded
BShaded, Unshaded
CUnshaded, Shaded
DUnshaded, Unshaded
Correct Answer:
B. Shaded, Unshaded
EXPLANATION
Pentagon has 5 sides (odd)→Shaded. Hexagon has 6 sides (even)→Unshaded. Pattern follows conditional odd/even rule.
A pattern shows reflection symmetry: Left half contains pattern X, right half should contain its mirror image. If left half shows a spiral turning clockwise, right half should show?
ASame clockwise spiral
BCounter-clockwise spiral
CStraight line
DCurved shape
Correct Answer:
B. Counter-clockwise spiral
EXPLANATION
Mirror reflection reverses direction. Clockwise becomes counter-clockwise. This follows the principle of reflection symmetry.
A complex figure shows: Primary color (Red) at position A, Secondary color (Orange) at position B, Tertiary color (Green) at position C. Following color theory hierarchy, what should appear at position D?
ABlue
BYellow
CPurple
DBrown
Correct Answer:
A. Blue
EXPLANATION
Pattern follows color wheel sequence: Red→Orange→Yellow→Green. But given sequence shows tertiary (Green), next logical step in color progression is Blue.
