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Archive · October 28, 2026

Grade 6 Cognitive Skills (CogAT): 10 Free Practice Questions

A brand-new set of Grade 6 CogAT practice questions every single day, with the answer and a full explanation for each one. No account, no paywall — tap an answer to check it.

1Each panel below shows one circle. Moving from panel 1 to panel 3, the circle's number of copies changes by the same fixed amount at every step. Study the pattern, then choose the option that correctly completes the missing 4th panel.

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Show answer & explanation
Answer: <svg xmlns="http://www.w3.org/2000/svg" width="150" height="232" viewBox="0 0 150 232"><rect x="0" y="0" width="150" height="232" fill="#ffffff"/><rect x="1" y="1" width="148" height="188" fill="#ffffff" stroke="#111827" stroke-width="2"/><circle cx="24.0" cy="95.0" r="13.0" fill="#6b7280" stroke="#111827" stroke-width="2"/><circle cx="58.0" cy="95.0" r="13.0" fill="#6b7280" stroke="#111827" stroke-width="2"/><circle cx="92.0" cy="95.0" r="13.0" fill="#6b7280" stroke="#111827" stroke-width="2"/><circle cx="126.0" cy="95.0" r="13.0" fill="#6b7280" stroke="#111827" stroke-width="2"/><rect x="0" y="188.0" width="150" height="44" fill="#111827"/><text x="75.0" y="219.0" font-size="22" font-weight="bold" font-family="Arial, sans-serif" text-anchor="middle" fill="#ffffff">D</text></svg>
Rule: the circle's number of copies increases by a constant step of 1 unit(s) per panel (count-scale index). Panel 1 = 1 copies, panel 2 = 2 copies, panel 3 = 3 copies. Adding the same step once more gives the missing panel: 4 copies — this is option D. Option C applies a step of 2 unit(s) instead of 1, over- or under-shooting the established rate of change. Option A shows the same number of copies as panel 2, reversing the progression instead of continuing it forward. Option B has the correct number of copies value but substitutes a triangle for the circle, breaking the requirement that the same shape appear in every panel.

2The 3x3 grid below follows two independent rules: every cell in a given row uses the same shape, and every cell in a given column uses the same size. Study the pattern across the completed rows and columns, then choose the option that correctly completes the missing bottom-right cell.

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Show answer & explanation
Answer: <svg xmlns="http://www.w3.org/2000/svg" width="150" height="232" viewBox="0 0 150 232"><rect x="0" y="0" width="150" height="232" fill="#ffffff"/><rect x="1" y="1" width="148" height="188" fill="#ffffff" stroke="#111827" stroke-width="2"/><polygon points="75.0,65.6 100.5,109.7 49.5,109.7" fill="#6b7280" stroke="#111827" stroke-width="2"/><rect x="0" y="188.0" width="150" height="44" fill="#111827"/><text x="75.0" y="219.0" font-size="22" font-weight="bold" font-family="Arial, sans-serif" text-anchor="middle" fill="#ffffff">D</text></svg>
Rule: each row is assigned a fixed shape (square for row 1, diamond for row 2, triangle for row 3) that stays constant across all three columns, and each column is assigned a fixed size (small for column 1, medium for column 2, large for column 3) that stays constant across all three rows. The missing cell is row 3, column 3, so it must combine row 3's shape (triangle) with column 3's size (large) — this is option D. Option C uses the correct row-3 shape (triangle) but the wrong column size (small instead of large), violating the column rule. Option A uses the correct column-3 size (large) but the wrong shape (square instead of triangle), violating the row rule. Option B uses the correct size but substitutes a hexagon, a shape that does not appear anywhere in the grid, violating the row rule entirely.

3The 3x3 grid below follows two independent rules: every cell in a given row uses the same shape, and every cell in a given column uses the same size. Study the pattern across the completed rows and columns, then choose the option that correctly completes the missing bottom-right cell.

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Show answer & explanation
Answer: <svg xmlns="http://www.w3.org/2000/svg" width="150" height="232" viewBox="0 0 150 232"><rect x="0" y="0" width="150" height="232" fill="#ffffff"/><rect x="1" y="1" width="148" height="188" fill="#ffffff" stroke="#111827" stroke-width="2"/><polygon points="75.0,68.1 100.6,86.7 90.8,116.7 59.2,116.7 49.4,86.7" fill="#6b7280" stroke="#111827" stroke-width="2"/><rect x="0" y="188.0" width="150" height="44" fill="#111827"/><text x="75.0" y="219.0" font-size="22" font-weight="bold" font-family="Arial, sans-serif" text-anchor="middle" fill="#ffffff">C</text></svg>
Rule: each row is assigned a fixed shape (circle for row 1, parallelogram for row 2, pentagon for row 3) that stays constant across all three columns, and each column is assigned a fixed size (small for column 1, medium for column 2, large for column 3) that stays constant across all three rows. The missing cell is row 3, column 3, so it must combine row 3's shape (pentagon) with column 3's size (large) — this is option C. Option D uses the correct row-3 shape (pentagon) but the wrong column size (small instead of large), violating the column rule. Option B uses the correct column-3 size (large) but the wrong shape (circle instead of pentagon), violating the row rule. Option A uses the correct size but substitutes a hexagon, a shape that does not appear anywhere in the grid, violating the row rule entirely.

4Each panel below shows one circle. Moving from panel 1 to panel 3, the circle's shading (darkness) changes by the same fixed amount at every step. Study the pattern, then choose the option that correctly completes the missing 4th panel.

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Show answer & explanation
Answer: <svg xmlns="http://www.w3.org/2000/svg" width="150" height="232" viewBox="0 0 150 232"><rect x="0" y="0" width="150" height="232" fill="#ffffff"/><rect x="1" y="1" width="148" height="188" fill="#ffffff" stroke="#111827" stroke-width="2"/><circle cx="75.0" cy="95.0" r="30.0" fill="#1f2937" stroke="#111827" stroke-width="2"/><rect x="0" y="188.0" width="150" height="44" fill="#111827"/><text x="75.0" y="219.0" font-size="22" font-weight="bold" font-family="Arial, sans-serif" text-anchor="middle" fill="#ffffff">A</text></svg>
Rule: the circle's shading (darkness) increases by a constant step of 1 unit(s) per panel (shading-scale index). Panel 1 = shading level 3 of 6 (darker = higher), panel 2 = shading level 4 of 6 (darker = higher), panel 3 = shading level 5 of 6 (darker = higher). Adding the same step once more gives the missing panel: shading level 6 of 6 (darker = higher) — this is option A. Option D applies a step of 2 unit(s) instead of 1, over- or under-shooting the established rate of change. Option B shows the same shading (darkness) as panel 2, reversing the progression instead of continuing it forward. Option C has the correct shading (darkness) value but substitutes a square for the circle, breaking the requirement that the same shape appear in every panel.

5The 3x3 grid below follows two independent rules: every cell in a given row uses the same shape, and every cell in a given column uses the same size. Study the pattern across the completed rows and columns, then choose the option that correctly completes the missing bottom-right cell.

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Show answer & explanation
Answer: <svg xmlns="http://www.w3.org/2000/svg" width="150" height="232" viewBox="0 0 150 232"><rect x="0" y="0" width="150" height="232" fill="#ffffff"/><rect x="1" y="1" width="148" height="188" fill="#ffffff" stroke="#111827" stroke-width="2"/><polygon points="94.0,76.0 94.0,114.0 56.0,114.0 56.0,76.0" fill="#6b7280" stroke="#111827" stroke-width="2"/><rect x="0" y="188.0" width="150" height="44" fill="#111827"/><text x="75.0" y="219.0" font-size="22" font-weight="bold" font-family="Arial, sans-serif" text-anchor="middle" fill="#ffffff">A</text></svg>
Rule: each row is assigned a fixed shape (parallelogram for row 1, circle for row 2, square for row 3) that stays constant across all three columns, and each column is assigned a fixed size (small for column 1, medium for column 2, large for column 3) that stays constant across all three rows. The missing cell is row 3, column 3, so it must combine row 3's shape (square) with column 3's size (large) — this is option A. Option C uses the correct row-3 shape (square) but the wrong column size (medium instead of large), violating the column rule. Option D uses the correct column-3 size (large) but the wrong shape (circle instead of square), violating the row rule. Option B uses the correct size but substitutes a diamond, a shape that does not appear anywhere in the grid, violating the row rule entirely.

6The 3x3 grid below follows two independent rules: every cell in a given row uses the same shape, and every cell in a given column uses the same size. Study the pattern across the completed rows and columns, then choose the option that correctly completes the missing bottom-right cell.

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Show answer & explanation
Answer: <svg xmlns="http://www.w3.org/2000/svg" width="150" height="232" viewBox="0 0 150 232"><rect x="0" y="0" width="150" height="232" fill="#ffffff"/><rect x="1" y="1" width="148" height="188" fill="#ffffff" stroke="#111827" stroke-width="2"/><polygon points="75.0,66.8 103.2,95.0 75.0,123.2 46.8,95.0" fill="#6b7280" stroke="#111827" stroke-width="2"/><rect x="0" y="188.0" width="150" height="44" fill="#111827"/><text x="75.0" y="219.0" font-size="22" font-weight="bold" font-family="Arial, sans-serif" text-anchor="middle" fill="#ffffff">D</text></svg>
Rule: each row is assigned a fixed shape (circle for row 1, parallelogram for row 2, diamond for row 3) that stays constant across all three columns, and each column is assigned a fixed size (small for column 1, medium for column 2, large for column 3) that stays constant across all three rows. The missing cell is row 3, column 3, so it must combine row 3's shape (diamond) with column 3's size (large) — this is option D. Option B uses the correct row-3 shape (diamond) but the wrong column size (medium instead of large), violating the column rule. Option C uses the correct column-3 size (large) but the wrong shape (parallelogram instead of diamond), violating the row rule. Option A uses the correct size but substitutes a triangle, a shape that does not appear anywhere in the grid, violating the row rule entirely.

7Each panel below shows one hexagon. Moving from panel 1 to panel 3, the hexagon's shading (darkness) changes by the same fixed amount at every step. Study the pattern, then choose the option that correctly completes the missing 4th panel.

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Show answer & explanation
Answer: <svg xmlns="http://www.w3.org/2000/svg" width="150" height="232" viewBox="0 0 150 232"><rect x="0" y="0" width="150" height="232" fill="#ffffff"/><rect x="1" y="1" width="148" height="188" fill="#ffffff" stroke="#111827" stroke-width="2"/><polygon points="75.0,64.4 101.5,79.7 101.5,110.3 75.0,125.6 48.5,110.3 48.5,79.7" fill="#1f2937" stroke="#111827" stroke-width="2"/><rect x="0" y="188.0" width="150" height="44" fill="#111827"/><text x="75.0" y="219.0" font-size="22" font-weight="bold" font-family="Arial, sans-serif" text-anchor="middle" fill="#ffffff">D</text></svg>
Rule: the hexagon's shading (darkness) increases by a constant step of 1 unit(s) per panel (shading-scale index). Panel 1 = shading level 3 of 6 (darker = higher), panel 2 = shading level 4 of 6 (darker = higher), panel 3 = shading level 5 of 6 (darker = higher). Adding the same step once more gives the missing panel: shading level 6 of 6 (darker = higher) — this is option D. Option C applies a step of 2 unit(s) instead of 1, over- or under-shooting the established rate of change. Option A shows the same shading (darkness) as panel 2, reversing the progression instead of continuing it forward. Option B has the correct shading (darkness) value but substitutes a triangle for the hexagon, breaking the requirement that the same shape appear in every panel.

8The 3x3 grid below follows two independent rules: every cell in a given row uses the same shape, and every cell in a given column uses the same size. Study the pattern across the completed rows and columns, then choose the option that correctly completes the missing bottom-right cell.

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Show answer & explanation
Answer: <svg xmlns="http://www.w3.org/2000/svg" width="150" height="232" viewBox="0 0 150 232"><rect x="0" y="0" width="150" height="232" fill="#ffffff"/><rect x="1" y="1" width="148" height="188" fill="#ffffff" stroke="#111827" stroke-width="2"/><polygon points="75.0,65.6 100.5,109.7 49.5,109.7" fill="#6b7280" stroke="#111827" stroke-width="2"/><rect x="0" y="188.0" width="150" height="44" fill="#111827"/><text x="75.0" y="219.0" font-size="22" font-weight="bold" font-family="Arial, sans-serif" text-anchor="middle" fill="#ffffff">A</text></svg>
Rule: each row is assigned a fixed shape (pentagon for row 1, circle for row 2, triangle for row 3) that stays constant across all three columns, and each column is assigned a fixed size (small for column 1, medium for column 2, large for column 3) that stays constant across all three rows. The missing cell is row 3, column 3, so it must combine row 3's shape (triangle) with column 3's size (large) — this is option A. Option B uses the correct row-3 shape (triangle) but the wrong column size (small instead of large), violating the column rule. Option D uses the correct column-3 size (large) but the wrong shape (pentagon instead of triangle), violating the row rule. Option C uses the correct size but substitutes a square, a shape that does not appear anywhere in the grid, violating the row rule entirely.

9Each panel below shows one diamond. Moving from panel 1 to panel 3, the diamond's shading (darkness) changes by the same fixed amount at every step. Study the pattern, then choose the option that correctly completes the missing 4th panel.

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Show answer & explanation
Answer: <svg xmlns="http://www.w3.org/2000/svg" width="150" height="232" viewBox="0 0 150 232"><rect x="0" y="0" width="150" height="232" fill="#ffffff"/><rect x="1" y="1" width="148" height="188" fill="#ffffff" stroke="#111827" stroke-width="2"/><polygon points="75.0,62.0 108.0,95.0 75.0,128.0 42.0,95.0" fill="#5c6472" stroke="#111827" stroke-width="2"/><rect x="0" y="188.0" width="150" height="44" fill="#111827"/><text x="75.0" y="219.0" font-size="22" font-weight="bold" font-family="Arial, sans-serif" text-anchor="middle" fill="#ffffff">A</text></svg>
Rule: the diamond's shading (darkness) increases by a constant step of 1 unit(s) per panel (shading-scale index). Panel 1 = shading level 1 of 6 (darker = higher), panel 2 = shading level 2 of 6 (darker = higher), panel 3 = shading level 3 of 6 (darker = higher). Adding the same step once more gives the missing panel: shading level 4 of 6 (darker = higher) — this is option A. Option C applies a step of 2 unit(s) instead of 1, over- or under-shooting the established rate of change. Option B shows the same shading (darkness) as panel 2, reversing the progression instead of continuing it forward. Option D has the correct shading (darkness) value but substitutes a parallelogram for the diamond, breaking the requirement that the same shape appear in every panel.

10The 3x3 grid below follows two independent rules: every cell in a given row uses the same shape, and every cell in a given column uses the same size. Study the pattern across the completed rows and columns, then choose the option that correctly completes the missing bottom-right cell.

?
Show answer & explanation
Answer: <svg xmlns="http://www.w3.org/2000/svg" width="150" height="232" viewBox="0 0 150 232"><rect x="0" y="0" width="150" height="232" fill="#ffffff"/><rect x="1" y="1" width="148" height="188" fill="#ffffff" stroke="#111827" stroke-width="2"/><polygon points="75.0,68.9 97.6,81.9 97.6,108.1 75.0,121.1 52.4,108.1 52.4,81.9" fill="#6b7280" stroke="#111827" stroke-width="2"/><rect x="0" y="188.0" width="150" height="44" fill="#111827"/><text x="75.0" y="219.0" font-size="22" font-weight="bold" font-family="Arial, sans-serif" text-anchor="middle" fill="#ffffff">B</text></svg>
Rule: each row is assigned a fixed shape (pentagon for row 1, diamond for row 2, hexagon for row 3) that stays constant across all three columns, and each column is assigned a fixed size (small for column 1, medium for column 2, large for column 3) that stays constant across all three rows. The missing cell is row 3, column 3, so it must combine row 3's shape (hexagon) with column 3's size (large) — this is option B. Option D uses the correct row-3 shape (hexagon) but the wrong column size (medium instead of large), violating the column rule. Option C uses the correct column-3 size (large) but the wrong shape (diamond instead of hexagon), violating the row rule. Option A uses the correct size but substitutes a square, a shape that does not appear anywhere in the grid, violating the row rule entirely.

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