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Grade 10 practice chapters

1. Grade 10 · Chapter 1

   Relate an acute angle to side ratios · practice 1

   A right triangle has hypotenuse 4 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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2. Grade 10 · Chapter 2

   Measure central-angle proportions · practice 1

   A circle has radius 1.5. Find the area and arc length of its 150° sector. Follow the calculation, then test the quantities in the animated example.

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3. Grade 10 · Chapter 3

   Verify a distance-preserving rotation · practice 1

   Rotate (3.75, 0) about the origin by 135°. Find the image and its distance from the origin. Follow the calculation, then test the quantities in the animated example.

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4. Grade 10 · Chapter 4

   Connect similarity powers · practice 1

   Dilate a rectangle with sides 1.5 and 2.25 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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5. Grade 10 · Chapter 5

   Verify a coordinate-distance model · practice 1

   A right triangle has perpendicular legs 2 and 5. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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6. Grade 10 · Chapter 6

   Track corresponding geometric vertices · practice 1

   Translate the point (1, 1) by the vector (-5, 2). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

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7. Grade 10 · Chapter 7

   Compare a triangle's base and altitude · practice 1

   Find the area of a triangle with base 3 and perpendicular height 4.5. Follow the calculation, then test the quantities in the animated example.

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8. Grade 10 · Chapter 8

   Distinguish length and cubic scale · practice 1

   A rectangular prism has length 1, width 4.5, and height 7. Find its volume. Follow the calculation, then test the quantities in the animated example.

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9. Grade 10 · Chapter 9

   Restrict a conditional sample space · practice 1

   A chosen group contains 4 successes and 3 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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10. Grade 10 · Chapter 10

    Inspect regression residuals · practice 1

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [4.75, -1.5, 1, 3.5, -2.75], 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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11. Grade 10 · Chapter 11

    Relate an acute angle to side ratios · practice 2

    A right triangle has hypotenuse 5 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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12. Grade 10 · Chapter 12

    Measure central-angle proportions · practice 2

    A circle has radius 3.5. Find the area and arc length of its 360° sector. Follow the calculation, then test the quantities in the animated example.

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13. Grade 10 · Chapter 13

    Verify a distance-preserving rotation · practice 2

    Rotate (3, 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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14. Grade 10 · Chapter 14

    Connect similarity powers · practice 2

    Dilate a rectangle with sides 1 and 2 by length factor 2.25. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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15. Grade 10 · Chapter 15

    Verify a coordinate-distance model · practice 2

    A right triangle has perpendicular legs 10 and 10. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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16. Grade 10 · Chapter 16

    Compare a triangle's base and altitude · practice 2

    Find the area of a triangle with base 11.5 and perpendicular height 10. Follow the calculation, then test the quantities in the animated example.

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17. Grade 10 · Chapter 17

    Distinguish length and cubic scale · practice 2

    A rectangular prism has length 2.5, width 3, and height 6. Find its volume. Follow the calculation, then test the quantities in the animated example.

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18. Grade 10 · Chapter 18

    Restrict a conditional sample space · practice 2

    A chosen group contains 7 successes and 6 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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19. Grade 10 · Chapter 19

    Inspect regression residuals · practice 2

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [5, -5, -2.5, 0, -10], 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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20. Grade 10 · Chapter 20

    Measure central-angle proportions · practice 3

    A circle has radius 7.5. Find the area and arc length of its 90° sector. Follow the calculation, then test the quantities in the animated example.

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