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Grade 8 practice chapters

1. Grade 8 · Chapter 201

   Recover a right-triangle distance · practice 18

   A right triangle has perpendicular legs 3 and 5. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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2. Grade 8 · Chapter 202

   Follow decimal place-value scaling · practice 20

   Write 6 × 10^(-3) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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3. Grade 8 · Chapter 203

   Separate trend from causal claims · practice 21

   For inputs [1, 2, 3, 4, 5] and corresponding outputs [8, 11, 14, 17, 20], 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 8 · Chapter 204

   Accumulate circular cross-sections · practice 21

   Find the volume of a cylinder with radius 6 and height 6. Follow the calculation, then test the quantities in the animated example.

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5. Grade 8 · Chapter 205

   Bracket a principal square root · practice 22

   Enclose √20 after 11 bisections starting from [0, 20]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

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6. Grade 8 · Chapter 206

   Distinguish length and area multipliers · practice 22

   Dilate a rectangle with sides 2 and 2.75 by length factor 1.75. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

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7. Grade 8 · Chapter 207

   Connect slope and a linear rule · practice 23

   For the line y = -1.5x + (-5), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

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8. Grade 8 · Chapter 208

   Locate simultaneous solutions · practice 23

   Solve the simultaneous equations y = 1x and y = 0x + (-6). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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9. Grade 8 · Chapter 209

   Translate every coordinate equally · practice 23

   Translate the point (1, 1) by the vector (-1, 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 8 · Chapter 210

    Recover a right-triangle distance · practice 19

    A right triangle has perpendicular legs 1 and 8. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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11. Grade 8 · Chapter 211

    Follow decimal place-value scaling · practice 21

    Write 6.5 × 10^(5) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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12. Grade 8 · Chapter 212

    Separate trend from causal claims · practice 22

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [8.25, 7.5, 10.5, 13.5, 12.75], 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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13. Grade 8 · Chapter 213

    Accumulate circular cross-sections · practice 22

    Find the volume of a cylinder with radius 4 and height 2.5. Follow the calculation, then test the quantities in the animated example.

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14. Grade 8 · Chapter 214

    Bracket a principal square root · practice 23

    Enclose √115 after 6 bisections starting from [0, 115]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

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15. Grade 8 · Chapter 215

    Distinguish length and area multipliers · practice 23

    Dilate a rectangle with sides 3 and 4.75 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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16. Grade 8 · Chapter 216

    Connect slope and a linear rule · practice 24

    For the line y = -2x + (8), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

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17. Grade 8 · Chapter 217

    Locate simultaneous solutions · practice 24

    Solve the simultaneous equations y = 2x and y = 0x + (2). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

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18. Grade 8 · Chapter 218

    Translate every coordinate equally · practice 24

    Translate the point (1, 1) by the vector (0, -4). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

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19. Grade 8 · Chapter 219

    Recover a right-triangle distance · practice 20

    A right triangle has perpendicular legs 5 and 7. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

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20. Grade 8 · Chapter 220

    Follow decimal place-value scaling · practice 22

    Write 7.5 × 10^(-5) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

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