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
501–520 of 750 matching chapters · Page 26 of 38
Clear filtersGrade 10 · Chapter 501
Relate an acute angle to side ratios · practice 51
A right triangle has hypotenuse 15 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 502
Measure central-angle proportions · practice 54
A circle has radius 5.5. Find the area and arc length of its 270° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 503
Verify a distance-preserving rotation · practice 54
Rotate (4, 0) about the origin by -45°. 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 504
Connect similarity powers · practice 53
Dilate a rectangle with sides 4 and 5.75 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 10 · Chapter 505
Track corresponding geometric vertices · practice 50
Translate the point (1, 1) by the vector (-3, 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 506
Compare a triangle's base and altitude · practice 53
Find the area of a triangle with base 1.5 and perpendicular height 7. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 507
Distinguish length and cubic scale · practice 54
A rectangular prism has length 2.5, 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 508
Restrict a conditional sample space · practice 54
A chosen group contains 3 successes and 6 failures; 12 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 509
Inspect regression residuals · practice 54
For inputs [1, 2, 3, 4, 5] and corresponding outputs [-5.25, -8.5, -10.5, -12.5, -15.75], 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 510
Relate an acute angle to side ratios · practice 52
A right triangle has hypotenuse 2 and a selected acute angle of 50°. 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 511
Measure central-angle proportions · practice 55
A circle has radius 4. Find the area and arc length of its 225° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 512
Verify a distance-preserving rotation · practice 55
Rotate (1.5, 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 513
Connect similarity powers · practice 54
Dilate a rectangle with sides 1.5 and 1.5 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 514
Track corresponding geometric vertices · practice 51
Translate the point (1, 1) by the vector (-2, -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 515
Compare a triangle's base and altitude · practice 54
Find the area of a triangle with base 4 and perpendicular height 5.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 516
Distinguish length and cubic scale · practice 55
A rectangular prism has length 5, width 7.5, 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 517
Restrict a conditional sample space · practice 55
A chosen group contains 6 successes and 1 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 518
Inspect regression residuals · practice 55
For inputs [1, 2, 3, 4, 5] and corresponding outputs [0.5, 0, 4.5, 9, 8.5], 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 519
Relate an acute angle to side ratios · practice 53
A right triangle has hypotenuse 3 and a selected acute angle of 25°. 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 520
Measure central-angle proportions · practice 56
A circle has radius 2.5. Find the area and arc length of its 180° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapter