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
21–40 of 750 matching chapters · Page 2 of 38
Clear filtersGrade 10 · Chapter 21
Verify a distance-preserving rotation · practice 3
Rotate (4.75, 0) about the origin by 75°. 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 22
Connect similarity powers · practice 3
Dilate a rectangle with sides 2 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 10 · Chapter 23
Verify a coordinate-distance model · practice 3
A right triangle has perpendicular legs 4 and 7. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 24
Track corresponding geometric vertices · practice 2
Translate the point (1, 1) by the vector (0, 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 10 · Chapter 25
Distinguish length and cubic scale · practice 3
A rectangular prism has length 2, width 2, 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 26
Restrict a conditional sample space · practice 3
A chosen group contains 2 successes and 2 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 27
Inspect regression residuals · practice 3
For inputs [1, 2, 3, 4, 5] and corresponding outputs [7.5, 10, 12.5, 15, 17.5], 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 10 · Chapter 28
Relate an acute angle to side ratios · practice 3
A right triangle has hypotenuse 7 and a selected acute angle of 70°. 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 29
Measure central-angle proportions · practice 4
A circle has radius 2. Find the area and arc length of its 315° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 30
Verify a distance-preserving rotation · practice 4
Rotate (2.25, 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 31
Connect similarity powers · practice 4
Dilate a rectangle with sides 3 and 6 by length factor 1.25. 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 10 · Chapter 32
Verify a coordinate-distance model · practice 4
A right triangle has perpendicular legs 2 and 10. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 33
Track corresponding geometric vertices · practice 3
Translate the point (1, 1) by the vector (1, -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 10 · Chapter 34
Compare a triangle's base and altitude · practice 3
Find the area of a triangle with base 2.5 and perpendicular height 9. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 35
Distinguish length and cubic scale · practice 4
A rectangular prism has length 2.5, width 4.5, and height 4.5. Find its volume. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 36
Restrict a conditional sample space · practice 4
A chosen group contains 5 successes and 5 failures; 1 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 37
Inspect regression residuals · practice 4
For inputs [1, 2, 3, 4, 5] and corresponding outputs [7.75, 6.5, 9, 11.5, 10.25], 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 38
Relate an acute angle to side ratios · practice 4
A right triangle has hypotenuse 8 and a selected acute angle of 45°. 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 39
Measure central-angle proportions · practice 5
A circle has radius 6. Find the area and arc length of its 45° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 40
Verify a distance-preserving rotation · practice 5
Rotate (4, 0) about the origin by 165°. 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 chapter