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
581–600 of 750 matching chapters · Page 30 of 38
Clear filtersGrade 10 · Chapter 581
Relate an acute angle to side ratios · practice 60
A right triangle has hypotenuse 10 and a selected acute angle of 45°. 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 582
Measure central-angle proportions · practice 63
A circle has radius 6. Find the area and arc length of its 195° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 583
Verify a distance-preserving rotation · practice 63
Rotate (2.75, 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 chapterGrade 10 · Chapter 584
Connect similarity powers · practice 62
Dilate a rectangle with sides 5.5 and 5.75 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 585
Track corresponding geometric vertices · practice 59
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 586
Compare a triangle's base and altitude · practice 61
Find the area of a triangle with base 2 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 587
Distinguish length and cubic scale · practice 63
A rectangular prism has length 3.5, width 4.5, 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 588
Restrict a conditional sample space · practice 63
A chosen group contains 6 successes and 4 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 589
Inspect regression residuals · practice 63
For inputs [1, 2, 3, 4, 5] and corresponding outputs [1.5, -3, -5, -7, -11.5], 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 590
Relate an acute angle to side ratios · practice 61
A right triangle has hypotenuse 11 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 591
Measure central-angle proportions · practice 64
A circle has radius 4.5. Find the area and arc length of its 150° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 592
Verify a distance-preserving rotation · practice 64
Rotate (4.5, 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 593
Connect similarity powers · practice 63
Dilate a rectangle with sides 1 and 2.75 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 594
Track corresponding geometric vertices · practice 60
Translate the point (1, 1) by the vector (4, 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 595
Compare a triangle's base and altitude · practice 62
Find the area of a triangle with base 10.5 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 596
Distinguish length and cubic scale · practice 64
A rectangular prism has length 1, width 2.5, 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 597
Restrict a conditional sample space · practice 64
A chosen group contains 1 successes and 8 failures; 2 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 598
Inspect regression residuals · practice 64
For inputs [1, 2, 3, 4, 5] and corresponding outputs [7.25, 5.5, 10, 14.5, 12.75], 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 599
Measure central-angle proportions · practice 65
A circle has radius 6.5. Find the area and arc length of its 360° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 600
Verify a distance-preserving rotation · practice 65
Rotate (2, 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