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
681–700 of 750 matching chapters · Page 35 of 38
Clear filtersGrade 8 · Chapter 681
Bracket a principal square root · practice 80
Enclose √56 after 9 bisections starting from [0, 56]. 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 682
Distinguish length and area multipliers · practice 80
Dilate a rectangle with sides 1.5 and 3.25 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 683
Connect slope and a linear rule · practice 81
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 684
Locate simultaneous solutions · practice 81
Solve the simultaneous equations y = 0.5x 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 chapterGrade 8 · Chapter 685
Translate every coordinate equally · practice 79
Translate the point (1, 1) by the vector (-2, 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 686
Follow decimal place-value scaling · practice 76
Write 2 × 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 687
Separate trend from causal claims · practice 78
For inputs [1, 2, 3, 4, 5] and corresponding outputs [5, -5, 0, 5, -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 688
Accumulate circular cross-sections · practice 79
Find the volume of a cylinder with radius 8 and height 10. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 689
Bracket a principal square root · practice 81
Enclose √32 after 5 bisections starting from [0, 32]. 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 690
Distinguish length and area multipliers · practice 81
Dilate a rectangle with sides 2.5 and 5.25 by length factor 2.75. 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 691
Connect slope and a linear rule · practice 82
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 692
Locate simultaneous solutions · practice 82
Solve the simultaneous equations y = 1.5x and y = -1x + (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 693
Translate every coordinate equally · practice 80
Translate the point (1, 1) by the vector (-1, -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 694
Follow decimal place-value scaling · practice 77
Write 2.5 × 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 695
Separate trend from causal claims · practice 79
For inputs [1, 2, 3, 4, 5] and corresponding outputs [2, -2, -3.5, -5, -9], 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 696
Accumulate circular cross-sections · practice 80
Find the volume of a cylinder with radius 6 and height 6.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 697
Bracket a principal square root · practice 82
Enclose √8 after 12 bisections starting from [0, 8]. 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 698
Distinguish length and area multipliers · practice 82
Dilate a rectangle with sides 5.5 and 6 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 699
Connect slope and a linear rule · practice 83
For the line y = -2x + (-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 700
Locate simultaneous solutions · practice 83
Solve the simultaneous equations y = -1.5x and y = 2.5x + (-4). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapter