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Abstract Reasoning Matrices Flashcards

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  1. A matrix shows figures that gain one additional axis of symmetry moving right across each row. Column 1 has no symmetry, column 2 has one axis, column 3 has two axes. Row 3 uses hexagons. What describes the bottom-right cell?

    Answer: Hexagon with two axes of symmetry

    Row 3 uses hexagons and column 3 requires two axes of symmetry.

  2. In a number matrix, the value in each cell equals the sum of the cell directly above it and the cell to its left. Row 1: 1, 2, 3. Row 2: 2, ?, 8. What is the missing value?

    Answer: 5

    Row 2 col 3 = 8 = row 1 col 3 (3) + row 2 col 2 (?), so the missing value is 8 − 3 = 5.

  3. A matrix has figures where each row applies a different transformation: row 1 = reflection, row 2 = rotation, row 3 = size change. Each column applies a shading rule: col 1 = white, col 2 = gray, col 3 = black. What rule applies to row 3, column 2?

    Answer: Size-changed figure, gray shading

    Row 3 applies size change and column 2 applies gray shading.

  4. A sequence of figures uses an XOR rule: overlapping regions between two shapes disappear. Figure 3 shows a square overlapping a triangle. Which answer correctly describes the XOR result?

    Answer: Square and triangle with their shared area removed

    XOR removes the region where both shapes overlap, leaving only the non-overlapping parts of each shape.

  5. A 3×3 matrix of letters follows a pattern. Row 1: A, C, E. Row 2: B, D, F. Row 3: C, E, ?. What is the missing letter?

    Answer: G

    Row 3 starts at C and increases by 2 per column: C, E, G.

  6. A matrix has a checkerboard arrangement of two patterns: Pattern A (horizontal lines) and Pattern B (vertical lines). The top-left cell is Pattern A. What pattern appears at row 3, column 2?

    Answer: Pattern B (vertical lines)

    In a checkerboard, cells where row + column is odd have the opposite pattern from the top-left; 3 + 2 = 5 (odd), so Pattern B.

  7. In a pattern where shapes decrease diagonally from the center outward: the center cell has 4 shapes, cells one step from center have 3, and corner cells have 1 shape. In a 3×3 matrix, which cells have the fewest shapes?

    Answer: Corner cells

    Corner cells are farthest from the center and contain the fewest shapes (1 each).