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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

241–260 of 750 matching chapters · Page 13 of 38

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  1. Grade 8 · Chapter 241

    Bracket a principal square root · practice 26

    Enclose √43 after 5 bisections starting from [0, 43]. 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
  2. Grade 8 · Chapter 242

    Distinguish length and area multipliers · practice 26

    Dilate a rectangle with sides 1 and 2.25 by length factor 0.5. 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
  3. Grade 8 · Chapter 243

    Connect slope and a linear rule · practice 27

    For the line y = 3.5x + (1), 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

    Open practice chapter
  4. Grade 8 · Chapter 244

    Locate simultaneous solutions · practice 27

    Solve the simultaneous equations y = -3x and y = 0.5x + (-3). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  5. Grade 8 · Chapter 245

    Translate every coordinate equally · practice 27

    Translate the point (1, 1) by the vector (-4, 4). 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
  6. Grade 8 · Chapter 246

    Recover a right-triangle distance · practice 23

    A right triangle has perpendicular legs 7 and 9. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  7. Grade 8 · Chapter 247

    Follow decimal place-value scaling · practice 25

    Write 9 × 10^(6) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  8. Grade 8 · Chapter 248

    Separate trend from causal claims · practice 26

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [-0.25, -0.5, 3, 6.5, 6.25], 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
  9. Grade 8 · Chapter 249

    Accumulate circular cross-sections · practice 26

    Find the volume of a cylinder with radius 3.5 and height 7. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  10. Grade 8 · Chapter 250

    Bracket a principal square root · practice 27

    Enclose √19 after 12 bisections starting from [0, 19]. 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
  11. Grade 8 · Chapter 251

    Distinguish length and area multipliers · practice 27

    Dilate a rectangle with sides 2 and 4.25 by length factor 2.75. 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
  12. Grade 8 · Chapter 252

    Connect slope and a linear rule · practice 28

    For the line y = 2x + (-2), 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

    Open practice chapter
  13. Grade 8 · Chapter 253

    Locate simultaneous solutions · practice 28

    Solve the simultaneous equations y = -2x and y = 0.5x + (5). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  14. Grade 8 · Chapter 254

    Translate every coordinate equally · practice 28

    Translate the point (1, 1) by the vector (-3, -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
  15. Grade 8 · Chapter 255

    Recover a right-triangle distance · practice 24

    A right triangle has perpendicular legs 5 and 12. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  16. Grade 8 · Chapter 256

    Follow decimal place-value scaling · practice 26

    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

    Open practice chapter
  17. Grade 8 · Chapter 257

    Separate trend from causal claims · practice 27

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [0, -4, -0.5, 3, -1], 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
  18. Grade 8 · Chapter 258

    Accumulate circular cross-sections · practice 27

    Find the volume of a cylinder with radius 1.5 and height 3.5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter
  19. Grade 8 · Chapter 259

    Bracket a principal square root · practice 28

    Enclose √114 after 7 bisections starting from [0, 114]. 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
  20. Grade 8 · Chapter 260

    Distinguish length and area multipliers · practice 28

    Dilate a rectangle with sides 5 and 5 by length factor 1.5. 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
10,000 Guided Math Practice Chapters | Math With Amar