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Grade 10 practice chapters

1. Grade 10 · Chapter 221

   Distinguish length and cubic scale · practice 23

   A rectangular prism has length 2.5, width 2.5, and height 4.5. Find its volume. Follow the calculation, then test the quantities in the animated example.

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2. Grade 10 · Chapter 222

   Restrict a conditional sample space · practice 23

   A chosen group contains 6 successes and 5 failures; 10 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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3. Grade 10 · Chapter 223

   Inspect regression residuals · practice 23

   For inputs [1, 2, 3, 4, 5] and corresponding outputs [-2, -11, -7.5, -4, -13], 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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4. Grade 10 · Chapter 224

   Relate an acute angle to side ratios · practice 23

   A right triangle has hypotenuse 13 and a selected acute angle of 30°. Find the opposite and adjacent legs. Follow the calculation, then test the quantities in the animated example.

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5. Grade 10 · Chapter 225

   Measure central-angle proportions · practice 24

   A circle has radius 3.5. Find the area and arc length of its 330° sector. Follow the calculation, then test the quantities in the animated example.

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6. Grade 10 · Chapter 226

   Verify a distance-preserving rotation · practice 24

   Rotate (5, 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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7. Grade 10 · Chapter 227

   Connect similarity powers · practice 24

   Dilate a rectangle with sides 2.5 and 5 by length factor 2.5. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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8. Grade 10 · Chapter 228

   Verify a coordinate-distance model · practice 20

   A right triangle has perpendicular legs 2 and 9. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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9. Grade 10 · Chapter 229

   Track corresponding geometric vertices · practice 23

   Translate the point (1, 1) by the vector (3, 4). 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 230

    Compare a triangle's base and altitude · practice 23

    Find the area of a triangle with base 6 and perpendicular height 2.5. Follow the calculation, then test the quantities in the animated example.

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11. Grade 10 · Chapter 231

    Distinguish length and cubic scale · practice 24

    A rectangular prism has length 3.5, width 7, and height 8. Find its volume. Follow the calculation, then test the quantities in the animated example.

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12. Grade 10 · Chapter 232

    Restrict a conditional sample space · practice 24

    A chosen group contains 1 successes and 1 failures; 6 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 233

    Inspect regression residuals · practice 24

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [-5, -8, -11, -14, -17], 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 234

    Relate an acute angle to side ratios · practice 24

    A right triangle has hypotenuse 14 and a selected acute angle of 70°. 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 235

    Measure central-angle proportions · practice 25

    A circle has radius 7.5. Find the area and arc length of its 60° sector. Follow the calculation, then test the quantities in the animated example.

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16. Grade 10 · Chapter 236

    Verify a distance-preserving rotation · practice 25

    Rotate (2.5, 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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17. Grade 10 · Chapter 237

    Connect similarity powers · practice 25

    Dilate a rectangle with sides 5.5 and 5.75 by length factor 1.25. 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 238

    Verify a coordinate-distance model · practice 21

    A right triangle has perpendicular legs 6 and 8. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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19. Grade 10 · Chapter 239

    Track corresponding geometric vertices · practice 24

    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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20. Grade 10 · Chapter 240

    Compare a triangle's base and altitude · practice 24

    Find the area of a triangle with base 3 and perpendicular height 8.5. Follow the calculation, then test the quantities in the animated example.

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