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
641–660 of 750 matching chapters · Page 33 of 38
Clear filtersGrade 8 · Chapter 641
Bracket a principal square root · practice 75
Enclose √57 after 8 bisections starting from [0, 57]. 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 642
Distinguish length and area multipliers · practice 75
Dilate a rectangle with sides 2.5 and 3.75 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 643
Connect slope and a linear rule · practice 76
For the line y = -4x + (-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 644
Locate simultaneous solutions · practice 76
Solve the simultaneous equations y = 2x and y = 2x + (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 645
Translate every coordinate equally · practice 74
Translate the point (1, 1) by the vector (1, -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 646
Follow decimal place-value scaling · practice 71
Write 8.5 × 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 647
Separate trend from causal claims · practice 73
For inputs [1, 2, 3, 4, 5] and corresponding outputs [1.5, -6, -1, 4, -3.5], 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 648
Accumulate circular cross-sections · practice 74
Find the volume of a cylinder with radius 3 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 649
Bracket a principal square root · practice 76
Enclose √33 after 4 bisections starting from [0, 33]. 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 650
Distinguish length and area multipliers · practice 76
Dilate a rectangle with sides 3.5 and 5.75 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 651
Connect slope and a linear rule · practice 77
For the line y = 4x + (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 652
Locate simultaneous solutions · practice 77
Solve the simultaneous equations y = -1x and y = -1x + (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 653
Translate every coordinate equally · practice 75
Translate the point (1, 1) by the vector (2, -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 654
Follow decimal place-value scaling · practice 72
Write 9 × 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 655
Separate trend from causal claims · practice 74
For inputs [1, 2, 3, 4, 5] and corresponding outputs [-1.5, -3, -4.5, -6, -7.5], 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 656
Accumulate circular cross-sections · practice 75
Find the volume of a cylinder with radius 1 and height 6. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 657
Bracket a principal square root · practice 77
Enclose √9 after 11 bisections starting from [0, 9]. 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 658
Distinguish length and area multipliers · practice 77
Dilate a rectangle with sides 1 and 1.5 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 659
Connect slope and a linear rule · practice 78
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 660
Locate simultaneous solutions · practice 78
Solve the simultaneous equations y = 2.5x and y = 2x + (-7). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapter