Math With Amar · Guided practice
10,000 ways to 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
141–160 of 750 matching chapters · Page 8 of 38
Clear filtersGrade 8 · Chapter 141
Translate every coordinate equally · practice 16
Translate the point (1, 1) by the vector (-3, -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 142
Recover a right-triangle distance · practice 12
A right triangle has perpendicular legs 1 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 143
Explain zero and negative powers · practice 12
Evaluate 2 raised to the integer power 3. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 144
Follow decimal place-value scaling · practice 14
Write 3 × 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 145
Separate trend from causal claims · practice 15
For inputs [1, 2, 3, 4, 5] and corresponding outputs [2, -5, -2, 1, -6], 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 146
Accumulate circular cross-sections · practice 15
Find the volume of a cylinder with radius 3 and height 9. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 147
Bracket a principal square root · practice 16
Enclose √45 after 3 bisections starting from [0, 45]. 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 148
Distinguish length and area multipliers · practice 16
Dilate a rectangle with sides 3.5 and 3.5 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 149
Connect slope and a linear rule · practice 17
For the line y = -3.5x + (-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 150
Locate simultaneous solutions · practice 17
Solve the simultaneous equations y = 1.5x and y = 3x + (-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 151
Translate every coordinate equally · practice 17
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 152
Recover a right-triangle distance · practice 13
A right triangle has perpendicular legs 11 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 153
Follow decimal place-value scaling · practice 15
Write 3.5 × 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 154
Separate trend from causal claims · practice 16
For inputs [1, 2, 3, 4, 5] and corresponding outputs [2.25, -8.5, -5.5, -2.5, -13.25], 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 155
Accumulate circular cross-sections · practice 16
Find the volume of a cylinder with radius 1 and height 5.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 8 · Chapter 156
Bracket a principal square root · practice 17
Enclose √21 after 10 bisections starting from [0, 21]. 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 157
Distinguish length and area multipliers · practice 17
Dilate a rectangle with sides 4.5 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 158
Connect slope and a linear rule · practice 18
For the line y = -4x + (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 159
Locate simultaneous solutions · practice 18
Solve the simultaneous equations y = 2.5x and y = 3x + (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 160
Translate every coordinate equally · practice 18
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 chapter