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Archive · November 2, 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 triangle. Moving from panel 1 to panel 3, the triangle'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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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="75.0,60.5 104.9,112.2 45.1,112.2" 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">B</text></svg>
Rule: the triangle'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 B. 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 D has the correct shading (darkness) value but substitutes a diamond for the triangle, 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="75.0,68.9 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 (circle for row 1, pentagon 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 A uses the correct row-3 shape (hexagon) but the wrong column size (small instead of large), violating the column rule. Option C uses the correct column-3 size (large) but the wrong shape (circle instead of hexagon), violating the row rule. Option D uses the correct size but substitutes a square, a shape that does not appear anywhere in the grid, violating the row rule entirely.

3Each panel below shows one pentagon. Moving from panel 1 to panel 3, the pentagon'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"/><polygon points="7.0,81.3 20.0,90.8 15.0,106.0 -1.0,106.0 -6.0,90.8" fill="#6b7280" stroke="#111827" stroke-width="2"/><polygon points="41.0,81.3 54.0,90.8 49.0,106.0 33.0,106.0 28.0,90.8" fill="#6b7280" stroke="#111827" stroke-width="2"/><polygon points="75.0,81.3 88.0,90.8 83.0,106.0 67.0,106.0 62.0,90.8" fill="#6b7280" stroke="#111827" stroke-width="2"/><polygon points="109.0,81.3 122.0,90.8 117.0,106.0 101.0,106.0 96.0,90.8" fill="#6b7280" stroke="#111827" stroke-width="2"/><polygon points="143.0,81.3 156.0,90.8 151.0,106.0 135.0,106.0 130.0,90.8" 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: the pentagon's number of copies increases by a constant step of 1 unit(s) per panel (count-scale index). Panel 1 = 2 copies, panel 2 = 3 copies, panel 3 = 4 copies. Adding the same step once more gives the missing panel: 5 copies — this is option C. Option A applies a step of 2 unit(s) instead of 1, over- or under-shooting the established rate of change. Option B shows the same number of copies as panel 2, reversing the progression instead of continuing it forward. Option D has the correct number of copies value but substitutes a circle for the pentagon, breaking the requirement that the same shape appear in every panel.

4Each panel below shows one hexagon. Moving from panel 1 to panel 3, the hexagon'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"/><polygon points="7.0,81.7 18.5,88.4 18.5,101.6 7.0,108.3 -4.5,101.6 -4.5,88.4" fill="#6b7280" stroke="#111827" stroke-width="2"/><polygon points="41.0,81.7 52.5,88.4 52.5,101.6 41.0,108.3 29.5,101.6 29.5,88.4" fill="#6b7280" stroke="#111827" stroke-width="2"/><polygon points="75.0,81.7 86.5,88.4 86.5,101.6 75.0,108.3 63.5,101.6 63.5,88.4" fill="#6b7280" stroke="#111827" stroke-width="2"/><polygon points="109.0,81.7 120.5,88.4 120.5,101.6 109.0,108.3 97.5,101.6 97.5,88.4" fill="#6b7280" stroke="#111827" stroke-width="2"/><polygon points="143.0,81.7 154.5,88.4 154.5,101.6 143.0,108.3 131.5,101.6 131.5,88.4" 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 hexagon's number of copies increases by a constant step of 1 unit(s) per panel (count-scale index). Panel 1 = 2 copies, panel 2 = 3 copies, panel 3 = 4 copies. Adding the same step once more gives the missing panel: 5 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 B shows the same number of copies as panel 2, reversing the progression instead of continuing it forward. Option A has the correct number of copies value but substitutes a pentagon for the hexagon, 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="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 (hexagon 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 A. Option B uses the correct row-3 shape (triangle) 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 triangle), violating the row rule. Option D uses the correct size but substitutes a square, a shape that does not appear anywhere in the grid, violating the row rule entirely.

6Each panel below shows one circle. Moving from panel 1 to panel 3, the circle's size 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="24.0" 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">C</text></svg>
Rule: the circle's size increases by a constant step of 1 unit(s) per panel (size-scale index). Panel 1 = 24px diameter, panel 2 = 32px diameter, panel 3 = 40px diameter. Adding the same step once more gives the missing panel: 48px diameter — this is option C. Option B applies a step of 2 unit(s) instead of 1, over- or under-shooting the established rate of change. Option A shows the same size as panel 2, reversing the progression instead of continuing it forward. Option D has the correct size value but substitutes a diamond for the circle, breaking the requirement that the same shape appear in every panel.

7The 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"/><circle cx="75.0" cy="95.0" r="25.6" 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 (triangle for row 1, pentagon for row 2, circle 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 (circle) with column 3's size (large) — this is option D. Option A uses the correct row-3 shape (circle) 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 (triangle instead of circle), 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.

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.

?
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="25.6" 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 (parallelogram for row 1, square for row 2, circle 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 (circle) with column 3's size (large) — this is option D. Option C uses the correct row-3 shape (circle) but the wrong column size (medium instead of large), violating the column rule. Option B uses the correct column-3 size (large) but the wrong shape (square instead of circle), violating the row rule. Option A uses the correct size but substitutes a diamond, a shape that does not appear anywhere in the grid, violating the row rule entirely.

9The 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.

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.

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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">B</text></svg>
Rule: each row is assigned a fixed shape (parallelogram for row 1, pentagon 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 B. Option D uses the correct row-3 shape (square) but the wrong column size (small instead of large), violating the column rule. Option C uses the correct column-3 size (large) but the wrong shape (parallelogram instead of square), violating the row rule. Option A uses the correct size but substitutes a circle, a shape that does not appear anywhere in the grid, violating the row rule entirely.

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