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Grade 10 practice chapters

1. Grade 10 · Chapter 201

   Distinguish length and cubic scale · practice 21

   A rectangular prism has length 5.5, width 6.5, and height 7.5. Find its volume. Follow the calculation, then test the quantities in the animated example.

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2. Grade 10 · Chapter 202

   Restrict a conditional sample space · practice 21

   A chosen group contains 8 successes and 6 failures; 7 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 203

   Inspect regression residuals · practice 21

   For inputs [1, 2, 3, 4, 5] and corresponding outputs [9.25, 8.5, 11.5, 14.5, 13.75], 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 204

   Relate an acute angle to side ratios · practice 21

   A right triangle has hypotenuse 11 and a selected acute angle of 15°. 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 205

   Measure central-angle proportions · practice 22

   A circle has radius 3. Find the area and arc length of its 165° sector. Follow the calculation, then test the quantities in the animated example.

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6. Grade 10 · Chapter 206

   Verify a distance-preserving rotation · practice 22

   Rotate (1.5, 0) about the origin by -165°. 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 207

   Connect similarity powers · practice 22

   Dilate a rectangle with sides 6 and 6 by length factor 0.5. 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 208

   Verify a coordinate-distance model · practice 18

   A right triangle has perpendicular legs 8 and 12. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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9. Grade 10 · Chapter 209

   Track corresponding geometric vertices · practice 21

   Translate the point (1, 1) by the vector (-2, 3). 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 210

    Compare a triangle's base and altitude · practice 21

    Find the area of a triangle with base 3.5 and perpendicular height 4. Follow the calculation, then test the quantities in the animated example.

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11. Grade 10 · Chapter 211

    Distinguish length and cubic scale · practice 22

    A rectangular prism has length 1, width 4, and height 5.5. Find its volume. Follow the calculation, then test the quantities in the animated example.

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12. Grade 10 · Chapter 212

    Restrict a conditional sample space · practice 22

    A chosen group contains 3 successes and 2 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 213

    Inspect regression residuals · practice 22

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [9.5, 5, 8, 11, 6.5], 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 214

    Relate an acute angle to side ratios · practice 22

    A right triangle has hypotenuse 12 and a selected acute angle of 55°. 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 215

    Measure central-angle proportions · practice 23

    A circle has radius 1.5. Find the area and arc length of its 120° sector. Follow the calculation, then test the quantities in the animated example.

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16. Grade 10 · Chapter 216

    Verify a distance-preserving rotation · practice 23

    Rotate (3.25, 0) about the origin by 60°. 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 217

    Connect similarity powers · practice 23

    Dilate a rectangle with sides 1.5 and 3 by length factor 3. 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 218

    Verify a coordinate-distance model · practice 19

    A right triangle has perpendicular legs 4 and 6. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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19. Grade 10 · Chapter 219

    Track corresponding geometric vertices · practice 22

    Translate the point (1, 1) by the vector (-1, -2). 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 220

    Compare a triangle's base and altitude · practice 22

    Find the area of a triangle with base 12 and perpendicular height 9.5. Follow the calculation, then test the quantities in the animated example.

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