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
321–340 of 750 matching chapters · Page 17 of 38
Clear filtersGrade 8 · Chapter 321
Bracket a principal square root · practice 35
Enclose √65 after 11 bisections starting from [0, 65]. 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 322
Distinguish length and area multipliers · practice 35
Dilate a rectangle with sides 1 and 5.25 by length factor 2.5. 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 323
Connect slope and a linear rule · practice 36
For the line y = 2x + (8), 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 324
Locate simultaneous solutions · practice 36
Solve the simultaneous equations y = 1x and y = 0.5x + (-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 325
Translate every coordinate equally · practice 36
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 326
Recover a right-triangle distance · practice 32
A right triangle has perpendicular legs 5 and 10. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 327
Separate trend from causal claims · practice 35
For inputs [1, 2, 3, 4, 5] and corresponding outputs [6.5, 5, 8.5, 12, 10.5], 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 328
Accumulate circular cross-sections · practice 34
Find the volume of a cylinder with radius 8 and height 2.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 329
Bracket a principal square root · practice 36
Enclose √41 after 7 bisections starting from [0, 41]. 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 330
Distinguish length and area multipliers · practice 36
Dilate a rectangle with sides 2 and 2 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 331
Connect slope and a linear rule · practice 37
For the line y = 1x + (-8), 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 332
Locate simultaneous solutions · practice 37
Solve the simultaneous equations y = 2x and y = 0.5x + (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 333
Translate every coordinate equally · practice 37
Translate the point (1, 1) by the vector (0, -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 334
Recover a right-triangle distance · practice 33
A right triangle has perpendicular legs 1 and 4. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 335
Follow decimal place-value scaling · practice 34
Write 5.5 × 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 336
Separate trend from causal claims · practice 36
For inputs [1, 2, 3, 4, 5] and corresponding outputs [6.75, 1.5, 5, 8.5, 3.25], 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 337
Accumulate circular cross-sections · practice 35
Find the volume of a cylinder with radius 6 and height 8.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 338
Bracket a principal square root · practice 37
Enclose √17 after 3 bisections starting from [0, 17]. 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 339
Distinguish length and area multipliers · practice 37
Dilate a rectangle with sides 3 and 4 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 340
Connect slope and a linear rule · practice 38
For the line y = 0.5x + (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 chapter