Math With Amar · Guided 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
41–60 of 750 matching chapters · Page 3 of 38
Clear filtersGrade 8 · Chapter 41
Follow decimal place-value scaling · practice 4
Write 6.5 × 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 42
Separate trend from causal claims · practice 4
For inputs [1, 2, 3, 4, 5] and corresponding outputs [6.5, 9, 11.5, 14, 16.5], 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 43
Accumulate circular cross-sections · practice 5
Find the volume of a cylinder with radius 2.5 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 44
Bracket a principal square root · practice 5
Enclose √71 after 5 bisections starting from [0, 71]. 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 45
Distinguish length and area multipliers · practice 5
Dilate a rectangle with sides 2.5 and 3.75 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 46
Connect slope and a linear rule · practice 6
For the line y = -0.5x + (-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 47
Locate simultaneous solutions · practice 6
Solve the simultaneous equations y = 2.5x 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 chapterGrade 8 · Chapter 48
Translate every coordinate equally · practice 6
Translate the point (1, 1) by the vector (2, -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 49
Recover a right-triangle distance · practice 5
A right triangle has perpendicular legs 1 and 7. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 50
Explain zero and negative powers · practice 4
Evaluate 5 raised to the integer power 4. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 51
Follow decimal place-value scaling · practice 5
Write 7 × 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 52
Separate trend from causal claims · practice 5
For inputs [1, 2, 3, 4, 5] and corresponding outputs [6.75, 5.5, 8, 10.5, 9.25], 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 53
Accumulate circular cross-sections · practice 6
Find the volume of a cylinder with radius 8 and height 7. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 54
Bracket a principal square root · practice 6
Enclose √47 after 12 bisections starting from [0, 47]. 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 55
Distinguish length and area multipliers · practice 6
Dilate a rectangle with sides 3.5 and 5.75 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 56
Connect slope and a linear rule · practice 7
For the line y = -1x + (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 57
Locate simultaneous solutions · practice 7
Solve the simultaneous equations y = -0.5x and y = -0.5x + (-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 58
Translate every coordinate equally · practice 7
Translate the point (1, 1) by the vector (6, 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 59
Recover a right-triangle distance · practice 6
A right triangle has perpendicular legs 9 and 12. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 60
Explain zero and negative powers · practice 5
Evaluate 6 raised to the integer power -3. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapter