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
601–620 of 750 matching chapters · Page 31 of 38
Clear filtersGrade 8 · Chapter 601
Bracket a principal square root · practice 70
Enclose √58 after 7 bisections starting from [0, 58]. 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 602
Distinguish length and area multipliers · practice 70
Dilate a rectangle with sides 3.5 and 4.25 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 603
Connect slope and a linear rule · practice 71
For the line y = 1x + (-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 604
Locate simultaneous solutions · practice 71
Solve the simultaneous equations y = -0.5x and y = 2x + (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 605
Translate every coordinate equally · practice 69
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 606
Follow decimal place-value scaling · practice 66
Write 6 × 10^(3) 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 607
Separate trend from causal claims · practice 68
For inputs [1, 2, 3, 4, 5] and corresponding outputs [9.75, 5.5, 10, 14.5, 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 608
Accumulate circular cross-sections · practice 69
Find the volume of a cylinder with radius 5.5 and height 8.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 609
Bracket a principal square root · practice 71
Enclose √34 after 3 bisections starting from [0, 34]. 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 610
Distinguish length and area multipliers · practice 71
Dilate a rectangle with sides 1 and 5.25 by length factor 1.75. 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 chapterGrade 8 · Chapter 611
Connect slope and a linear rule · practice 72
For the line y = 0.5x + (3), 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 612
Locate simultaneous solutions · practice 72
Solve the simultaneous equations y = 3x 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 613
Translate every coordinate equally · practice 70
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 614
Follow decimal place-value scaling · practice 67
Write 6.5 × 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 615
Separate trend from causal claims · practice 69
For inputs [1, 2, 3, 4, 5] and corresponding outputs [10, 2, 6.5, 11, 3], 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 616
Accumulate circular cross-sections · practice 70
Find the volume of a cylinder with radius 3.5 and height 5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 617
Bracket a principal square root · practice 72
Enclose √10 after 10 bisections starting from [0, 10]. 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 618
Distinguish length and area multipliers · practice 72
Dilate a rectangle with sides 2 and 2 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 619
Connect slope and a linear rule · practice 73
For the line y = -1x + (0), 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 620
Locate simultaneous solutions · practice 73
Solve the simultaneous equations y = -2.5x and y = -1x + (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