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
301–320 of 750 matching chapters · Page 16 of 38
Clear filtersGrade 8 · Chapter 301
Follow decimal place-value scaling · practice 31
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 302
Separate trend from causal claims · practice 32
For inputs [1, 2, 3, 4, 5] and corresponding outputs [3.5, -3, 0.5, 4, -2.5], 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 303
Bracket a principal square root · practice 33
Enclose √113 after 8 bisections starting from [0, 113]. 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 304
Distinguish length and area multipliers · practice 33
Dilate a rectangle with sides 4 and 4.5 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 305
Connect slope and a linear rule · practice 34
For the line y = 4x + (-2), 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 306
Locate simultaneous solutions · practice 34
Solve the simultaneous equations y = 0.5x and y = 0.5x + (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 307
Translate every coordinate equally · practice 34
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 308
Recover a right-triangle distance · practice 30
A right triangle has perpendicular legs 1 and 11. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 309
Follow decimal place-value scaling · practice 32
Write 4 × 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 310
Separate trend from causal claims · practice 33
For inputs [1, 2, 3, 4, 5] and corresponding outputs [3.75, -6.5, -3, 0.5, -9.75], 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 311
Accumulate circular cross-sections · practice 32
Find the volume of a cylinder with radius 4.5 and height 10. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 312
Bracket a principal square root · practice 34
Enclose √89 after 4 bisections starting from [0, 89]. 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 313
Distinguish length and area multipliers · practice 34
Dilate a rectangle with sides 1.5 and 5.5 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 314
Connect slope and a linear rule · practice 35
For the line y = 2.5x + (-5), 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 315
Locate simultaneous solutions · practice 35
Solve the simultaneous equations y = -2.5x and y = -2.5x + (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 316
Translate every coordinate equally · practice 35
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 317
Recover a right-triangle distance · practice 31
A right triangle has perpendicular legs 7 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 318
Follow decimal place-value scaling · practice 33
Write 4.5 × 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 319
Separate trend from causal claims · practice 34
For inputs [1, 2, 3, 4, 5] and corresponding outputs [6.25, 8.5, 12, 15.5, 17.75], 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 320
Accumulate circular cross-sections · practice 33
Find the volume of a cylinder with radius 2.5 and height 6.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapter