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.
Attempt · Explain · Animate
Grade 8 practice chapters
561–580 of 750 matching chapters · Page 29 of 38
Clear filtersGrade 8 · Chapter 561
Bracket a principal square root · practice 65
Enclose √59 after 6 bisections starting from [0, 59]. 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 562
Distinguish length and area multipliers · practice 65
Dilate a rectangle with sides 2.5 and 6 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 563
Connect slope and a linear rule · practice 66
For the line y = -3x + (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 564
Locate simultaneous solutions · practice 66
Solve the simultaneous equations y = -3x and y = 2x + (0). 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 565
Translate every coordinate equally · practice 64
Translate the point (1, 1) by the vector (-6, -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 566
Follow decimal place-value scaling · practice 61
Write 3 × 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 567
Separate trend from causal claims · practice 63
For inputs [1, 2, 3, 4, 5] and corresponding outputs [6.25, 4.5, 9, 13.5, 11.75], 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 568
Accumulate circular cross-sections · practice 64
Find the volume of a cylinder with radius 8 and height 7.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 569
Bracket a principal square root · practice 66
Enclose √35 after 2 bisections starting from [0, 35]. 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 570
Distinguish length and area multipliers · practice 66
Dilate a rectangle with sides 4.5 and 4.75 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 571
Connect slope and a linear rule · practice 67
For the line y = 4x + (-4), 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 572
Locate simultaneous solutions · practice 67
Solve the simultaneous equations y = 0.5x 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 573
Translate every coordinate equally · practice 65
Translate the point (1, 1) by the vector (-3, 5). 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 574
Follow decimal place-value scaling · practice 62
Write 3.5 × 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 575
Separate trend from causal claims · practice 64
For inputs [1, 2, 3, 4, 5] and corresponding outputs [6.5, 1, 5.5, 10, 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 576
Accumulate circular cross-sections · practice 65
Find the volume of a cylinder with radius 6 and height 4. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 577
Bracket a principal square root · practice 67
Enclose √11 after 9 bisections starting from [0, 11]. 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 578
Distinguish length and area multipliers · practice 67
Dilate a rectangle with sides 1 and 3.75 by length factor 0.75. 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 579
Connect slope and a linear rule · practice 68
For the line y = 3.5x + (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 580
Locate simultaneous solutions · practice 68
Solve the simultaneous equations y = -2x and y = 2x + (8). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapter