Math With Amar · Guided practice
10,000 ways to practice.
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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
421–440 of 750 matching chapters · Page 22 of 38
Clear filtersGrade 10 · Chapter 421
Measure central-angle proportions · practice 45
A circle has radius 1.5. Find the area and arc length of its 90° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 422
Verify a distance-preserving rotation · practice 45
Rotate (1, 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 423
Connect similarity powers · practice 44
Dilate a rectangle with sides 4.5 and 4.5 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 424
Track corresponding geometric vertices · practice 41
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 425
Compare a triangle's base and altitude · practice 44
Find the area of a triangle with base 6.5 and perpendicular height 2. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 426
Distinguish length and cubic scale · practice 45
A rectangular prism has length 5, width 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 427
Restrict a conditional sample space · practice 45
A chosen group contains 8 successes and 7 failures; 5 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 428
Inspect regression residuals · practice 45
For inputs [1, 2, 3, 4, 5] and corresponding outputs [3, -8, -4, 0, -11], 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 429
Relate an acute angle to side ratios · practice 43
A right triangle has hypotenuse 7 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 430
Measure central-angle proportions · practice 46
A circle has radius 3.5. Find the area and arc length of its 300° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 431
Verify a distance-preserving rotation · practice 46
Rotate (2.75, 0) about the origin by -15°. 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 432
Connect similarity powers · practice 45
Dilate a rectangle with sides 1 and 3.5 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 433
Track corresponding geometric vertices · practice 42
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 434
Compare a triangle's base and altitude · practice 45
Find the area of a triangle with base 3.5 and perpendicular height 8. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 435
Distinguish length and cubic scale · practice 46
A rectangular prism has length 1, width 4.5, 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 436
Restrict a conditional sample space · practice 46
A chosen group contains 3 successes and 3 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 437
Inspect regression residuals · practice 46
For inputs [1, 2, 3, 4, 5] and corresponding outputs [5.5, 7, 11, 15, 16.5], 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 438
Relate an acute angle to side ratios · practice 44
A right triangle has hypotenuse 8 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 439
Measure central-angle proportions · practice 47
A circle has radius 7.5. Find the area and arc length of its 30° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 440
Verify a distance-preserving rotation · practice 47
Rotate (4.5, 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