Math With Amar · Guided practice
10,000 ways to 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
521–540 of 750 matching chapters · Page 27 of 38
Clear filtersGrade 8 · Chapter 521
Accumulate circular cross-sections · practice 58
Find the volume of a cylinder with radius 5 and height 1. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 522
Bracket a principal square root · practice 60
Enclose √60 after 5 bisections starting from [0, 60]. 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 523
Distinguish length and area multipliers · practice 60
Dilate a rectangle with sides 2.5 and 4.5 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 chapterGrade 8 · Chapter 524
Connect slope and a linear rule · practice 61
For the line y = 1.5x + (9), 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 525
Locate simultaneous solutions · practice 61
Solve the simultaneous equations y = 1x and y = 1.5x + (-3). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 526
Translate every coordinate equally · practice 59
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 chapterGrade 8 · Chapter 527
Follow decimal place-value scaling · practice 57
Write 9.5 × 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 528
Separate trend from causal claims · practice 58
For inputs [1, 2, 3, 4, 5] and corresponding outputs [2.75, 3.5, 8, 12.5, 13.25], 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 529
Accumulate circular cross-sections · practice 59
Find the volume of a cylinder with radius 3 and height 7. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 530
Bracket a principal square root · practice 61
Enclose √36 after 12 bisections starting from [0, 36]. 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 531
Distinguish length and area multipliers · practice 61
Dilate a rectangle with sides 1 and 2.25 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 532
Connect slope and a linear rule · practice 62
For the line y = 0.5x + (-7), 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 533
Locate simultaneous solutions · practice 62
Solve the simultaneous equations y = 2x and y = 1.5x + (5). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 534
Translate every coordinate equally · practice 60
Translate the point (1, 1) by the vector (0, 2). 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 535
Follow decimal place-value scaling · practice 58
Write 1 × 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 536
Separate trend from causal claims · practice 59
For inputs [1, 2, 3, 4, 5] and corresponding outputs [3, 0, 4.5, 9, 6], 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 537
Accumulate circular cross-sections · practice 60
Find the volume of a cylinder with radius 1 and height 3.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 538
Bracket a principal square root · practice 62
Enclose √12 after 8 bisections starting from [0, 12]. 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 539
Distinguish length and area multipliers · practice 62
Dilate a rectangle with sides 2 and 4.25 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 chapterGrade 8 · Chapter 540
Connect slope and a linear rule · practice 63
For the line y = 0x + (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 chapter