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
Choose a starting point
Practice at your level.
Grade labels are starting points; school sequences vary. Advanced chapters assume the prerequisites listed on their pages.
Attempt · Explain · Animate
Grade 10 practice chapters
61–80 of 750 matching chapters · Page 4 of 38
Clear filtersGrade 10 · Chapter 61
Connect similarity powers · practice 7
Dilate a rectangle with sides 4.5 and 4.5 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 62
Verify a coordinate-distance model · practice 7
A right triangle has perpendicular legs 4 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 63
Track corresponding geometric vertices · practice 6
Translate the point (1, 1) by the vector (-6, -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 64
Compare a triangle's base and altitude · practice 6
Find the area of a triangle with base 7.5 and perpendicular height 6. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 65
Distinguish length and cubic scale · practice 7
A rectangular prism has length 4, width 4, and height 7.5. Find its volume. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 66
Restrict a conditional sample space · practice 7
A chosen group contains 6 successes and 7 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 67
Inspect regression residuals · practice 7
For inputs [1, 2, 3, 4, 5] and corresponding outputs [14, 8, 17, 26, 20], 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 68
Relate an acute angle to side ratios · practice 7
A right triangle has hypotenuse 11 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 69
Measure central-angle proportions · practice 8
A circle has radius 5. Find the area and arc length of its 165° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 70
Verify a distance-preserving rotation · practice 8
Rotate (5, 0) about the origin by 105°. 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 71
Connect similarity powers · practice 8
Dilate a rectangle with sides 1 and 3.5 by length factor 0.5. 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 72
Track corresponding geometric vertices · practice 7
Translate the point (1, 1) by the vector (-3, 6). 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 73
Compare a triangle's base and altitude · practice 7
Find the area of a triangle with base 10 and perpendicular height 4.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 74
Distinguish length and cubic scale · practice 8
A rectangular prism has length 4.5, width 6.5, 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 75
Restrict a conditional sample space · practice 8
A chosen group contains 1 successes and 3 failures; 7 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 76
Inspect regression residuals · practice 8
For inputs [1, 2, 3, 4, 5] and corresponding outputs [-0.75, -1.5, 1.5, 4.5, 3.75], 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 77
Relate an acute angle to side ratios · practice 8
A right triangle has hypotenuse 12 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 78
Measure central-angle proportions · practice 9
A circle has radius 3.5. Find the area and arc length of its 120° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 79
Verify a distance-preserving rotation · practice 9
Rotate (2.5, 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 80
Connect similarity powers · practice 9
Dilate a rectangle with sides 2 and 5.5 by length factor 2.75. 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 chapter