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
561–580 of 750 matching chapters · Page 29 of 38
Clear filtersGrade 10 · Chapter 561
Restrict a conditional sample space · practice 60
A chosen group contains 5 successes and 2 failures; 9 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 562
Inspect regression residuals · practice 60
For inputs [1, 2, 3, 4, 5] and corresponding outputs [4, 1, 5.5, 10, 7], 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 563
Relate an acute angle to side ratios · practice 58
A right triangle has hypotenuse 8 and a selected acute angle of 30°. 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 564
Measure central-angle proportions · practice 61
A circle has radius 5.5. 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 565
Verify a distance-preserving rotation · practice 61
Rotate (3.5, 0) about the origin by 75°. 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 566
Connect similarity powers · practice 60
Dilate a rectangle with sides 1.5 and 3 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 567
Track corresponding geometric vertices · practice 57
Translate the point (1, 1) by the vector (-1, 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 chapterGrade 10 · Chapter 568
Compare a triangle's base and altitude · practice 59
Find the area of a triangle with base 8.5 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 569
Distinguish length and cubic scale · practice 61
A rectangular prism has length 1, width 1.5, and height 4. Find its volume. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 570
Restrict a conditional sample space · practice 61
A chosen group contains 8 successes and 5 failures; 4 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 571
Inspect regression residuals · practice 61
For inputs [1, 2, 3, 4, 5] and corresponding outputs [4.25, -2.5, 2, 6.5, -0.25], 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 572
Relate an acute angle to side ratios · practice 59
A right triangle has hypotenuse 9 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 573
Measure central-angle proportions · practice 62
A circle has radius 7.5. Find the area and arc length of its 240° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 574
Verify a distance-preserving rotation · practice 62
Rotate (1, 0) about the origin by -60°. 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 575
Connect similarity powers · practice 61
Dilate a rectangle with sides 2.5 and 5 by length factor 1.75. 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 576
Track corresponding geometric vertices · practice 58
Translate the point (1, 1) by the vector (0, -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 577
Compare a triangle's base and altitude · practice 60
Find the area of a triangle with base 11 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 578
Distinguish length and cubic scale · practice 62
A rectangular prism has length 2, width 6, 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 579
Restrict a conditional sample space · practice 62
A chosen group contains 3 successes and 1 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 580
Inspect regression residuals · practice 62
For inputs [1, 2, 3, 4, 5] and corresponding outputs [4.5, -6, -1.5, 3, -7.5], 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 chapter