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.
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Grade 10 practice chapters
141–160 of 750 matching chapters · Page 8 of 38
Clear filtersGrade 10 · Chapter 141
Distinguish length and cubic scale · practice 15
A rectangular prism has length 2, width 6, and height 6.5. Find its volume. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 142
Restrict a conditional sample space · practice 15
A chosen group contains 6 successes and 2 failures; 11 cases lie outside it. Find P(success | chosen group) and the fraction of all cases in the chosen group. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 143
Inspect regression residuals · practice 15
For inputs [1, 2, 3, 4, 5] and corresponding outputs [3.25, -7.5, -4.5, -1.5, -12.25], 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 10 · Chapter 144
Relate an acute angle to side ratios · practice 15
A right triangle has hypotenuse 5 and a selected acute angle of 35°. Find the opposite and adjacent legs. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 145
Measure central-angle proportions · practice 16
A circle has radius 1.5. Find the area and arc length of its 360° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 146
Verify a distance-preserving rotation · practice 16
Rotate (3.75, 0) about the origin by -60°. Find the image and its distance from the origin. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 147
Connect similarity powers · practice 16
Dilate a rectangle with sides 4 and 5.75 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 10 · Chapter 148
Verify a coordinate-distance model · practice 12
A right triangle has perpendicular legs 2 and 6. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 149
Track corresponding geometric vertices · practice 15
Translate the point (1, 1) by the vector (0, 5). 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 10 · Chapter 150
Compare a triangle's base and altitude · practice 15
Find the area of a triangle with base 5 and perpendicular height 9.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 151
Distinguish length and cubic scale · practice 16
A rectangular prism has length 3.5, width 4.5, and height 5.5. Find its volume. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 152
Restrict a conditional sample space · practice 16
A chosen group contains 1 successes and 6 failures; 6 cases lie outside it. Find P(success | chosen group) and the fraction of all cases in the chosen group. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 153
Inspect regression residuals · practice 16
For inputs [1, 2, 3, 4, 5] and corresponding outputs [5.75, 7.5, 10.5, 13.5, 15.25], 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 10 · Chapter 154
Relate an acute angle to side ratios · practice 16
A right triangle has hypotenuse 6 and a selected acute angle of 75°. Find the opposite and adjacent legs. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 155
Measure central-angle proportions · practice 17
A circle has radius 5.5. Find the area and arc length of its 90° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 156
Verify a distance-preserving rotation · practice 17
Rotate (1.25, 0) about the origin by 180°. Find the image and its distance from the origin. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 157
Connect similarity powers · practice 17
Dilate a rectangle with sides 1.5 and 1.5 by length factor 2. 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 10 · Chapter 158
Verify a coordinate-distance model · practice 13
A right triangle has perpendicular legs 10 and 11. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 159
Track corresponding geometric vertices · practice 16
Translate the point (1, 1) by the vector (1, 0). 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 10 · Chapter 160
Compare a triangle's base and altitude · practice 16
Find the area of a triangle with base 10.5 and perpendicular height 2. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapter