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.
10,000 questions · 10,000 animated scenarios · 14 study levels
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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
481–500 of 750 matching chapters · Page 25 of 38
Clear filtersGrade 8 · Chapter 481
Separate trend from causal claims · practice 53
For inputs [1, 2, 3, 4, 5] and corresponding outputs [8.5, 0, 4, 8, -0.5], 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 chapterGrade 8 · Chapter 482
Accumulate circular cross-sections · practice 53
Find the volume of a cylinder with radius 7.5 and height 9.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 483
Bracket a principal square root · practice 55
Enclose √61 after 4 bisections starting from [0, 61]. 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 484
Distinguish length and area multipliers · practice 55
Dilate a rectangle with sides 2.5 and 3 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 chapterGrade 8 · Chapter 485
Connect slope and a linear rule · practice 56
For the line y = -2x + (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
Open practice chapterGrade 8 · Chapter 486
Locate simultaneous solutions · practice 56
Solve the simultaneous equations y = 1.5x and y = -2x + (1). 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 487
Translate every coordinate equally · practice 54
Translate the point (1, 1) by the vector (2, 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 chapterGrade 8 · Chapter 488
Follow decimal place-value scaling · practice 52
Write 7 × 10^(4) 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 489
Separate trend from causal claims · practice 54
For inputs [1, 2, 3, 4, 5] and corresponding outputs [5.5, 3, 0.5, -2, -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 chapterGrade 8 · Chapter 490
Accumulate circular cross-sections · practice 54
Find the volume of a cylinder with radius 5.5 and height 6. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 491
Bracket a principal square root · practice 56
Enclose √37 after 11 bisections starting from [0, 37]. 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 492
Distinguish length and area multipliers · practice 56
Dilate a rectangle with sides 3.5 and 5 by length factor 2.5. 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 493
Connect slope and a linear rule · practice 57
For the line y = -3x + (-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
Open practice chapterGrade 8 · Chapter 494
Locate simultaneous solutions · practice 57
Solve the simultaneous equations y = -1.5x and y = 1.5x + (-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 495
Translate every coordinate equally · practice 55
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 chapterGrade 8 · Chapter 496
Follow decimal place-value scaling · practice 53
Write 7.5 × 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 chapterGrade 8 · Chapter 497
Separate trend from causal claims · practice 55
For inputs [1, 2, 3, 4, 5] and corresponding outputs [11.25, 11.5, 15.5, 19.5, 19.75], 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 498
Accumulate circular cross-sections · practice 55
Find the volume of a cylinder with radius 3.5 and height 2.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 499
Bracket a principal square root · practice 57
Enclose √13 after 7 bisections starting from [0, 13]. 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 500
Distinguish length and area multipliers · practice 57
Dilate a rectangle with sides 1 and 6 by length factor 1.25. 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 chapter