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
521–540 of 750 matching chapters · Page 27 of 38
Clear filtersGrade 10 · Chapter 521
Verify a distance-preserving rotation · practice 56
Rotate (3.25, 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 522
Connect similarity powers · practice 55
Dilate a rectangle with sides 2.5 and 3.5 by length factor 0.75. 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 523
Track corresponding geometric vertices · practice 52
Translate the point (1, 1) by the vector (1, 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 524
Distinguish length and cubic scale · practice 56
A rectangular prism has length 2, width 3.5, and height 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 525
Restrict a conditional sample space · practice 56
A chosen group contains 1 successes and 5 failures; 3 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 526
Inspect regression residuals · practice 56
For inputs [1, 2, 3, 4, 5] and corresponding outputs [0.75, -3.5, 1, 5.5, 1.25], 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 527
Relate an acute angle to side ratios · practice 54
A right triangle has hypotenuse 4 and a selected acute angle of 65°. 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 528
Measure central-angle proportions · practice 57
A circle has radius 1. Find the area and arc length of its 135° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 529
Verify a distance-preserving rotation · practice 57
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 530
Connect similarity powers · practice 56
Dilate a rectangle with sides 3.5 and 5.5 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 531
Track corresponding geometric vertices · practice 53
Translate the point (1, 1) by the vector (2, 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 532
Compare a triangle's base and altitude · practice 55
Find the area of a triangle with base 3.5 and perpendicular height 10. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 533
Distinguish length and cubic scale · practice 57
A rectangular prism has length 4.5, width 6.5, 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 534
Restrict a conditional sample space · practice 57
A chosen group contains 4 successes and 8 failures; 10 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 535
Inspect regression residuals · practice 57
For inputs [1, 2, 3, 4, 5] and corresponding outputs [1, -7, -2.5, 2, -6], 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 536
Relate an acute angle to side ratios · practice 55
A right triangle has hypotenuse 5 and a selected acute angle of 40°. 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 537
Measure central-angle proportions · practice 58
A circle has radius 3. Find the area and arc length of its 345° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 538
Verify a distance-preserving rotation · practice 58
Rotate (2.5, 0) about the origin by 135°. 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 539
Connect similarity powers · practice 57
Dilate a rectangle with sides 1 and 1.25 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 540
Track corresponding geometric vertices · practice 54
Translate the point (1, 1) by the vector (3, -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 chapter