Matrix Reasoning Flashcards

In a matrix, each row's shapes share the same outline color and each column's shapes share the same fill color. The top row has red outlines and the left column has blue fill. What does the top-left cell look like?

Answer: red outline with blue fill

The top-left cell belongs to the top row (red outline) and left column (blue fill), so it has a red outline with blue fill.

A matrix pattern decreases by one shape per row: row 1 has 3 shapes, row 2 has 2, row 3 has 1, then restarts. If a cyclic pattern repeats (3, 2, 1, 3, 2, 1...), how many shapes does row 5 have?

Answer: 2

Row 4 restarts at 3, so row 5 follows with 2 shapes.

A matrix rule states that the shape in each cell combines all shapes from the two cells directly above it. A circle-square cell and a square-triangle cell are above the bottom cell. What does the bottom cell show?

Answer: a circle-square-triangle overlap

Combining a circle-square overlap with a square-triangle overlap produces a shape containing all three: circle, square, and triangle.

In a 3x3 matrix, row 1 shapes have no internal lines, row 2 shapes have 1 internal line, and row 3 shapes have 2 internal lines. This is an example of which type of matrix reasoning rule?

Answer: progressive addition

Adding one internal line per row is a progressive addition rule where a feature is incrementally increased.

A matrix's transformation rule is that each row rotates the previous row's shapes by 180 degrees. Row 1 has a shape pointing up-right. What direction does the same shape point in row 3?

Answer: up-right

Two 180-degree rotations equal 360 degrees, returning the shape to its original up-right orientation.

A matrix subtraction rule states that column 3 shows what remains after removing the column 2 shape from the column 1 shape. Column 1 has a large square; column 2 has a small square centered inside. What does column 3 show?

Answer: a large square with a square hole in the center

Removing the small center square from the large square leaves a large square with a square-shaped cutout in the middle.

In a matrix, odd-numbered rows contain circles and even-numbered rows contain squares. All shapes in prime-numbered columns are black. What shape and color appears in row 2, column 2?

Answer: black square

Row 2 is even (square) and column 2 is prime (black), so the cell contains a black square.