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Grade 10 practice chapters

1. Grade 10 · Chapter 121

   Compare a triangle's base and altitude · practice 12

   Find the area of a triangle with base 3 and perpendicular height 6.5. Follow the calculation, then test the quantities in the animated example.

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2. Grade 10 · Chapter 122

   Distinguish length and cubic scale · practice 13

   A rectangular prism has length 1, width 1.5, and height 3. Find its volume. Follow the calculation, then test the quantities in the animated example.

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3. Grade 10 · Chapter 123

   Restrict a conditional sample space · practice 13

   A chosen group contains 8 successes and 3 failures; 8 cases lie outside it. Find P(success | chosen group) and the fraction of all cases in the chosen group. Follow the calculation, then test the quantities in the animated example.

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4. Grade 10 · Chapter 124

   Inspect regression residuals · practice 13

   For inputs [1, 2, 3, 4, 5] and corresponding outputs [2.75, -0.5, 2.5, 5.5, 2.25], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

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5. Grade 10 · Chapter 125

   Relate an acute angle to side ratios · practice 13

   A right triangle has hypotenuse 3 and a selected acute angle of 20°. Find the opposite and adjacent legs. Follow the calculation, then test the quantities in the animated example.

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6. Grade 10 · Chapter 126

   Measure central-angle proportions · practice 14

   A circle has radius 1. Find the area and arc length of its 195° sector. Follow the calculation, then test the quantities in the animated example.

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7. Grade 10 · Chapter 127

   Verify a distance-preserving rotation · practice 14

   Rotate (4.5, 0) about the origin by -150°. Find the image and its distance from the origin. Follow the calculation, then test the quantities in the animated example.

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8. Grade 10 · Chapter 128

   Connect similarity powers · practice 14

   Dilate a rectangle with sides 1 and 5 by length factor 1.5. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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9. Grade 10 · Chapter 129

   Track corresponding geometric vertices · practice 13

   Translate the point (1, 1) by the vector (-4, -1). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

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10. Grade 10 · Chapter 130

    Compare a triangle's base and altitude · practice 13

    Find the area of a triangle with base 5.5 and perpendicular height 5. Follow the calculation, then test the quantities in the animated example.

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11. Grade 10 · Chapter 131

    Distinguish length and cubic scale · practice 14

    A rectangular prism has length 1.5, width 3.5, and height 7.5. Find its volume. Follow the calculation, then test the quantities in the animated example.

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12. Grade 10 · Chapter 132

    Restrict a conditional sample space · practice 14

    A chosen group contains 3 successes and 7 failures; 3 cases lie outside it. Find P(success | chosen group) and the fraction of all cases in the chosen group. Follow the calculation, then test the quantities in the animated example.

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13. Grade 10 · Chapter 133

    Inspect regression residuals · practice 14

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [3, -4, -1, 2, -5], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

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14. Grade 10 · Chapter 134

    Relate an acute angle to side ratios · practice 14

    A right triangle has hypotenuse 4 and a selected acute angle of 60°. Find the opposite and adjacent legs. Follow the calculation, then test the quantities in the animated example.

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15. Grade 10 · Chapter 135

    Measure central-angle proportions · practice 15

    A circle has radius 7. Find the area and arc length of its 135° sector. Follow the calculation, then test the quantities in the animated example.

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16. Grade 10 · Chapter 136

    Verify a distance-preserving rotation · practice 15

    Rotate (2, 0) about the origin by 90°. Find the image and its distance from the origin. Follow the calculation, then test the quantities in the animated example.

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17. Grade 10 · Chapter 137

    Connect similarity powers · practice 15

    Dilate a rectangle with sides 3 and 3.75 by length factor 0.75. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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18. Grade 10 · Chapter 138

    Verify a coordinate-distance model · practice 11

    A right triangle has perpendicular legs 6 and 12. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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19. Grade 10 · Chapter 139

    Track corresponding geometric vertices · practice 14

    Translate the point (1, 1) by the vector (-3, -6). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

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20. Grade 10 · Chapter 140

    Compare a triangle's base and altitude · practice 14

    Find the area of a triangle with base 8 and perpendicular height 3.5. Follow the calculation, then test the quantities in the animated example.

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