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Math With Amar · Guided practice

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Each chapter gives you a distinct mathematical scenario: one question to attempt, a hint, a worked solution, and an animated example you can control.

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A collection of concrete mathematics tools for building mathematical understanding

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Grade labels are starting points; school sequences vary. Advanced chapters assume the prerequisites listed on their pages.

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Grade 8 practice chapters

81–100 of 750 matching chapters · Page 5 of 38

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  1. Grade 8 · Chapter 81

    Accumulate circular cross-sections · practice 8

    Find the volume of a cylinder with radius 2 and height 6. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  2. Grade 8 · Chapter 82

    Bracket a principal square root · practice 9

    Enclose √94 after 10 bisections starting from [0, 94]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  3. Grade 8 · Chapter 83

    Distinguish length and area multipliers · practice 9

    Dilate a rectangle with sides 3 and 5.5 by length factor 0.75. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  4. Grade 8 · Chapter 84

    Connect slope and a linear rule · practice 10

    For the line y = 4x + (10), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  5. Grade 8 · Chapter 85

    Locate simultaneous solutions · practice 10

    Solve the simultaneous equations y = 1x and y = -0.5x + (-7). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  6. Grade 8 · Chapter 86

    Translate every coordinate equally · practice 10

    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.

    Question · Worked solution · Animated example

    Open practice chapter
  7. Grade 8 · Chapter 87

    Recover a right-triangle distance · practice 8

    A right triangle has perpendicular legs 1 and 12. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  8. Grade 8 · Chapter 88

    Explain zero and negative powers · practice 8

    Evaluate 2 raised to the integer power 1. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  9. Grade 8 · Chapter 89

    Follow decimal place-value scaling · practice 9

    Write 9 × 10^(4) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  10. Grade 8 · Chapter 90

    Separate trend from causal claims · practice 9

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [10, 10, 12.5, 15, 15], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  11. Grade 8 · Chapter 91

    Accumulate circular cross-sections · practice 9

    Find the volume of a cylinder with radius 7.5 and height 2. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  12. Grade 8 · Chapter 92

    Bracket a principal square root · practice 10

    Enclose √70 after 6 bisections starting from [0, 70]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  13. Grade 8 · Chapter 93

    Distinguish length and area multipliers · practice 10

    Dilate a rectangle with sides 1.5 and 3.25 by length factor 2. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  14. Grade 8 · Chapter 94

    Connect slope and a linear rule · practice 11

    For the line y = 3x + (-6), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  15. Grade 8 · Chapter 95

    Locate simultaneous solutions · practice 11

    Solve the simultaneous equations y = -1.5x and y = 3x + (7). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  16. Grade 8 · Chapter 96

    Translate every coordinate equally · practice 11

    Translate the point (1, 1) by the vector (0, -6). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  17. Grade 8 · Chapter 97

    Follow decimal place-value scaling · practice 10

    Write 9.5 × 10^(-1) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

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  18. Grade 8 · Chapter 98

    Separate trend from causal claims · practice 10

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [-1.5, -6, -3, 0, -4.5], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  19. Grade 8 · Chapter 99

    Accumulate circular cross-sections · practice 10

    Find the volume of a cylinder with radius 5.5 and height 8. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  20. Grade 8 · Chapter 100

    Bracket a principal square root · practice 11

    Enclose √46 after 2 bisections starting from [0, 46]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
10,000 Guided Math Practice Chapters | Math With Amar