Abstract and Logical Patterns Flashcards

A figure is reflected horizontally, then reflected vertically. Which transformation produces the same result as both reflections combined?

Answer: 180° rotation

A horizontal reflection followed by a vertical reflection is equivalent to a 180° rotation about the center.

In a logical pattern, every dark shape is large, and every large shape is a square. Which conclusion must be true?

Answer: Every dark shape is a square

If dark → large and large → square, then by transitivity dark → square.

A number grid has rows where each value is 3 times the column number plus 2 times the row number. What is the value at row 3, column 4?

Answer: 18

3×4 + 2×3 = 12 + 6 = 18.

A sequence of figures shows a square losing one corner triangle each step: 4 triangles, 3 triangles, 2 triangles, 1 triangle, ___. What comes next?

Answer: 0 triangles (plain square)

The count decreases by 1 each step, so after 1 triangle the next figure has 0 corner triangles — a plain square.

Two overlapping shapes create a new region. The pattern shows: circle+square=rectangle, triangle+circle=oval. By the same logic, what does square+triangle equal?

Answer: Trapezoid

Combining a right-angle shape (square) with a triangular shape yields a trapezoid by analogy with the given pairings.

In a series, each term is the product of the two preceding terms: 1, 2, 2, 4, 8, ___. What is the next term?

Answer: 32

Each term = previous × term before it: 4×8 = 32.

A matrix has a rule: each cell equals the cell above minus the cell to its left. The top-left cell is 10, top-right is 6, and left-middle is 4. What is the middle-right cell?

Answer: 2

Middle-right = cell above it (6) minus cell to its left (4) = 2.