Math With Amar · Guided practice
10,000 ways to practice.
One idea at a time.
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
621–640 of 750 matching chapters · Page 32 of 38
Clear filtersGrade 8 · Chapter 621
Translate every coordinate equally · practice 71
Translate the point (1, 1) by the vector (-5, 3). 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 622
Follow decimal place-value scaling · practice 68
Write 7 × 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 chapterGrade 8 · Chapter 623
Separate trend from causal claims · practice 70
For inputs [1, 2, 3, 4, 5] and corresponding outputs [-4.75, -7.5, -9, -10.5, -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 624
Accumulate circular cross-sections · practice 71
Find the volume of a cylinder with radius 1.5 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 625
Bracket a principal square root · practice 73
Enclose √105 after 5 bisections starting from [0, 105]. 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 626
Distinguish length and area multipliers · practice 73
Dilate a rectangle with sides 4 and 6 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 chapterGrade 8 · Chapter 627
Connect slope and a linear rule · practice 74
For the line y = -2.5x + (-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 628
Locate simultaneous solutions · practice 74
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 629
Translate every coordinate equally · practice 72
Translate the point (1, 1) by the vector (-4, -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 630
Follow decimal place-value scaling · practice 69
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 631
Separate trend from causal claims · practice 71
For inputs [1, 2, 3, 4, 5] and corresponding outputs [1, 1, 6, 11, 11], 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 632
Accumulate circular cross-sections · practice 72
Find the volume of a cylinder with radius 7 and height 7. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 633
Bracket a principal square root · practice 74
Enclose √81 after 12 bisections starting from [0, 81]. 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 634
Distinguish length and area multipliers · practice 74
Dilate a rectangle with sides 1.5 and 1.75 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 635
Connect slope and a linear rule · practice 75
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 636
Locate simultaneous solutions · practice 75
Solve the simultaneous equations y = -2x and y = -1x + (-8). 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 637
Translate every coordinate equally · practice 73
Translate the point (1, 1) by the vector (0, 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 638
Follow decimal place-value scaling · practice 70
Write 8 × 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 639
Separate trend from causal claims · practice 72
For inputs [1, 2, 3, 4, 5] and corresponding outputs [1.25, -2.5, 2.5, 7.5, 3.75], 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 640
Accumulate circular cross-sections · practice 73
Find the volume of a cylinder with radius 5 and height 3.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapter