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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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
441–460 of 750 matching chapters · Page 23 of 38
Clear filtersGrade 8 · Chapter 441
Follow decimal place-value scaling · practice 47
Write 4 × 10^(-5) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 442
Separate trend from causal claims · practice 48
For inputs [1, 2, 3, 4, 5] and corresponding outputs [5, -1, 3, 7, 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 chapterGrade 8 · Chapter 443
Accumulate circular cross-sections · practice 48
Find the volume of a cylinder with radius 2.5 and height 9. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 444
Bracket a principal square root · practice 50
Enclose √62 after 3 bisections starting from [0, 62]. 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 chapterGrade 8 · Chapter 445
Distinguish length and area multipliers · practice 50
Dilate a rectangle with sides 1.5 and 4.75 by length factor 2.25. 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 chapterGrade 8 · Chapter 446
Connect slope and a linear rule · practice 51
For the line y = 3x + (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 chapterGrade 8 · Chapter 447
Locate simultaneous solutions · practice 51
Solve the simultaneous equations y = -1x and y = -2x + (-2). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 448
Translate every coordinate equally · practice 49
Translate the point (1, 1) by the vector (4, 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 chapterGrade 8 · Chapter 449
Separate trend from causal claims · practice 49
For inputs [1, 2, 3, 4, 5] and corresponding outputs [5.25, -4.5, -0.5, 3.5, -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 chapterGrade 8 · Chapter 450
Accumulate circular cross-sections · practice 49
Find the volume of a cylinder with radius 8 and height 5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 451
Bracket a principal square root · practice 51
Enclose √38 after 10 bisections starting from [0, 38]. 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 chapterGrade 8 · Chapter 452
Distinguish length and area multipliers · practice 51
Dilate a rectangle with sides 3.5 and 3.5 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 chapterGrade 8 · Chapter 453
Connect slope and a linear rule · practice 52
For the line y = 1.5x + (-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 chapterGrade 8 · Chapter 454
Locate simultaneous solutions · practice 52
Solve the simultaneous equations y = 0x and y = -2x + (6). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 455
Translate every coordinate equally · practice 50
Translate the point (1, 1) by the vector (5, 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 chapterGrade 8 · Chapter 456
Follow decimal place-value scaling · practice 48
Write 5 × 10^(-2) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 457
Separate trend from causal claims · practice 50
For inputs [1, 2, 3, 4, 5] and corresponding outputs [2.25, -1.5, -4, -6.5, -10.25], 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 chapterGrade 8 · Chapter 458
Accumulate circular cross-sections · practice 50
Find the volume of a cylinder with radius 6 and height 1.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 459
Bracket a principal square root · practice 52
Enclose √14 after 6 bisections starting from [0, 14]. 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 chapterGrade 8 · Chapter 460
Distinguish length and area multipliers · practice 52
Dilate a rectangle with sides 1 and 4.5 by length factor 3. 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