Figural Reasoning Patterns Flashcards

A sequence shows shapes losing one side with each step: hexagon, pentagon, square, ___. What comes next?

Answer: Triangle

Each shape loses one side, so after a square (4 sides) comes a triangle (3 sides).

In a 3x3 matrix, each row contains a circle, square, and triangle. The first two columns are filled; the third column has a circle in row 1 and triangle in row 2. What shape belongs in row 3, column 3?

Answer: Square

Each row must contain all three shapes exactly once, so the missing shape is a square.

A figure is reflected across a vertical axis. The original has a star in the top-left corner. Where does the star appear in the reflection?

Answer: Top-right

A vertical reflection flips left and right, moving the top-left star to the top-right.

Each figure in a series is the previous figure rotated 45° clockwise. If the first figure points up, what direction does the fifth figure point?

Answer: Down-left

After four 45° clockwise rotations (4 × 45° = 180°), the figure points in the opposite direction, which is down — but the fifth is 4 steps from figure 1, so 180° = pointing down... wait: figure 5 is 4 rotations × 45° = 180° from up, which is down. The answer is Down.

A pattern alternates between a filled black square and an outlined square, doubling in size each step. The third figure is a filled black square of medium size. What is the fourth figure?

Answer: Large outlined square

The pattern alternates fill/outline and doubles size, so after a medium filled square comes a large outlined square.

Which figure is the odd one out: a shape with exactly one line of symmetry among a square, rectangle, regular pentagon, and scalene triangle?

Answer: Scalene triangle

A scalene triangle has no lines of symmetry, while the others all have at least one.

In a series, each frame adds one dot inside a circle, and the circle itself grows by one ring. Frame 1 has 1 dot and 1 ring. How many total elements (dots + rings) does Frame 4 have?

Answer: 8

Frame 4 has 4 dots and 4 rings, totaling 8 elements.