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
401–420 of 750 matching chapters · Page 21 of 38
Clear filtersGrade 10 · Chapter 401
Restrict a conditional sample space · practice 42
A chosen group contains 7 successes and 5 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 402
Inspect regression residuals · practice 42
For inputs [1, 2, 3, 4, 5] and corresponding outputs [2.25, 2.5, 6.5, 10.5, 10.75], 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 403
Measure central-angle proportions · practice 43
A circle has radius 3. 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 404
Verify a distance-preserving rotation · practice 43
Rotate (1.75, 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 405
Connect similarity powers · practice 42
Dilate a rectangle with sides 1.5 and 3.75 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 406
Track corresponding geometric vertices · practice 39
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 407
Compare a triangle's base and altitude · practice 42
Find the area of a triangle with base 4 and perpendicular height 3.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 408
Distinguish length and cubic scale · practice 43
A rectangular prism has length 3, width 4, 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 409
Restrict a conditional sample space · practice 43
A chosen group contains 2 successes and 1 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 410
Inspect regression residuals · practice 43
For inputs [1, 2, 3, 4, 5] and corresponding outputs [2.5, -1, 3, 7, 3.5], 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 411
Relate an acute angle to side ratios · practice 41
A right triangle has hypotenuse 5 and a selected acute angle of 60°. 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 412
Measure central-angle proportions · practice 44
A circle has radius 5. 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 413
Verify a distance-preserving rotation · practice 44
Rotate (3.5, 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 414
Connect similarity powers · practice 43
Dilate a rectangle with sides 2.5 and 5.75 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 415
Track corresponding geometric vertices · practice 40
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 416
Compare a triangle's base and altitude · practice 43
Find the area of a triangle with base 1 and perpendicular height 9.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 417
Distinguish length and cubic scale · practice 44
A rectangular prism has length 3.5, width 6.5, 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 418
Restrict a conditional sample space · practice 44
A chosen group contains 5 successes and 4 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 419
Inspect regression residuals · practice 44
For inputs [1, 2, 3, 4, 5] and corresponding outputs [2.75, -4.5, -0.5, 3.5, -3.75], 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 420
Relate an acute angle to side ratios · practice 42
A right triangle has hypotenuse 6 and a selected acute angle of 35°. Find the opposite and adjacent legs. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapter