Pattern Completion Flashcards

A pattern matrix shows that each shape in a row is rotated 45° clockwise relative to the previous one. The first shape in a row points north (up). What direction does the third shape point?

Answer: South-East

Two 45° clockwise rotations from north (0°) yields 90°, which points east—but each cell adds 45°, so cell 3 is at 90°, pointing east; however standard 45° increments: 0°→45°(NE)→90°(E), making the third shape point east.

A 3x3 matrix of patterns uses three symbols: +, ×, and ○. No row or column repeats a symbol. The top row is: +, ×, ○. The left column is: +, ○, ×. What symbol belongs in the center cell?

Answer: ×

The center cell's row (middle) already has ○ in the left column, and its column (middle) already has × in the top row, leaving × as the only valid symbol for the center.

A figure shows a large hexagon with one triangular piece missing from its edge. Four answer options show triangular pieces of different sizes and angles. Which piece restores the hexagon perfectly?

Answer: An equilateral triangle with 60° angles matching the hexagon's edge

A regular hexagon's edge-triangles have interior angles of 60°, so the missing piece must be an equilateral triangle matching that angle.

In a sequence of overlapping shapes, each new shape is placed on top of the previous one and is smaller. The order from largest to smallest is: square, circle, triangle. The figure currently shows the square and circle only. What is the topmost (smallest) shape?

Answer: Triangle

The triangle is the third and smallest shape in the sequence, placed on top of the circle.

A pattern grid has shading that follows a diagonal rule: all cells on the same diagonal (top-right to bottom-left) share the same shade. The top-right cell is white. What shade is the bottom-left cell?

Answer: White

In a top-right to bottom-left diagonal rule, top-right and bottom-left are on the same diagonal, so they share the same shade—white.

A pattern shows a 2x4 grid of dots where the number of dots in each cell doubles: 1, 2, 4, 8, 16, 32, ___. What is the seventh cell?

Answer: 64

Each cell doubles the previous value; 32 × 2 = 64.

A design consists of a square frame with a pattern of small shapes along all four sides. The top side has: circle, triangle, circle, triangle. The right side has: triangle, circle, triangle, ___. What completes the right side?

Answer: Circle

The alternating circle-triangle pattern on the right side ends with a circle after the last triangle.