Practice Test Geeks(CFAT) Canadian Forces Aptitude Test Practice Test
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Problem Solving: Figure Series Flashcards

7 cards from real CFAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Problem Solving: Figure Series flashcards as text

  1. In a 3×3 grid, one cell is shaded and moves one position to the right each step, wrapping from column 3 back to column 1. Starting at row 1, column 1 in figure 1, where is the shaded cell in figure 4?

    Answer: Row 1, Column 1

    The cell moves right: column 1→2→3→1 (wrap); figure 4 completes the full cycle and returns to column 1.

  2. A figure series shows a rectangle divided by horizontal lines. Figure 1 has 1 line (2 sections), figure 2 has 2 lines (3 sections). How many sections does figure 6 contain?

    Answer: 7 sections

    Each figure n has n lines and n+1 sections, so figure 6 has 6 lines creating 7 sections.

  3. A series shows a black square moving diagonally down-right one step at a time in a 4×4 grid. Starting at row 1, column 1 in figure 1, where is the square in figure 3?

    Answer: Row 3, Column 3

    Moving diagonally down-right: (1,1)→(2,2)→(3,3), placing the square at row 3, column 3 in figure 3.

  4. In a figure series, the shaded region alternates between the top half and bottom half of a square. Starting with the top half shaded in figure 1, which figure first shows the bottom half shaded?

    Answer: Figure 2

    The shading alternates each step, so figure 2 is the first to show the bottom half shaded.

  5. A triangular arrangement shows circles in rows: row 1 has 1 circle, row 2 has 2, row 3 has 3, and so on. How many circles total appear in a figure showing 5 complete rows?

    Answer: 15

    The total follows triangular numbers: 1+2+3+4+5 = 15.

  6. In a 2×2 grid, one quadrant is shaded and rotates clockwise each step: top-left → top-right → bottom-right → bottom-left → top-left. Starting at top-left in figure 1, which quadrant is shaded in figure 7?

    Answer: Bottom-right

    The 4-step cycle repeats: figure 5=top-left, figure 6=top-right, figure 7=bottom-right.

  7. A series shows nested shapes where the outer and inner shapes always have the same number of sides. Figure 1: triangle inside triangle. Each step adds 1 side to both shapes. What shapes appear in figure 6?

    Answer: Octagon inside octagon

    Starting at 3 sides and adding 1 per figure: figure 6 has 3+5=8 sides, making an octagon inside an octagon.