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
41–60 of 750 matching chapters · Page 3 of 38
Clear filtersGrade 10 · Chapter 41
Connect similarity powers · practice 5
Dilate a rectangle with sides 1.5 and 3.75 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 10 · Chapter 42
Verify a coordinate-distance model · practice 5
A right triangle has perpendicular legs 12 and 12. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 43
Track corresponding geometric vertices · practice 4
Translate the point (1, 1) by the vector (5, 4). 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 44
Compare a triangle's base and altitude · practice 4
Find the area of a triangle with base 8 and perpendicular height 1.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 45
Distinguish length and cubic scale · practice 5
A rectangular prism has length 4.5, width 5, and height 8. Find its volume. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 46
Restrict a conditional sample space · practice 5
A chosen group contains 8 successes and 8 failures; 8 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 47
Inspect regression residuals · practice 5
For inputs [1, 2, 3, 4, 5] and corresponding outputs [8, 3, 5.5, 8, 3], 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 48
Relate an acute angle to side ratios · practice 5
A right triangle has hypotenuse 9 and a selected acute angle of 20°. 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 49
Measure central-angle proportions · practice 6
A circle has radius 8. Find the area and arc length of its 255° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 50
Verify a distance-preserving rotation · practice 6
Rotate (1.5, 0) about the origin by 30°. 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 51
Connect similarity powers · practice 6
Dilate a rectangle with sides 2.5 and 5.75 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 52
Verify a coordinate-distance model · practice 6
A right triangle has perpendicular legs 6 and 9. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 53
Track corresponding geometric vertices · practice 5
Translate the point (1, 1) by the vector (6, -1). 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 54
Compare a triangle's base and altitude · practice 5
Find the area of a triangle with base 5 and perpendicular height 7.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 55
Distinguish length and cubic scale · practice 6
A rectangular prism has length 2, width 3.5, and height 4. Find its volume. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 56
Restrict a conditional sample space · practice 6
A chosen group contains 3 successes and 4 failures; 4 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 57
Inspect regression residuals · practice 6
For inputs [1, 2, 3, 4, 5] and corresponding outputs [8.25, -0.5, 2, 4.5, -4.25], 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 58
Relate an acute angle to side ratios · practice 6
A right triangle has hypotenuse 10 and a selected acute angle of 60°. 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 59
Measure central-angle proportions · practice 7
A circle has radius 6.5. Find the area and arc length of its 210° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 60
Verify a distance-preserving rotation · practice 7
Rotate (3.25, 0) about the origin by -120°. 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