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
701–720 of 750 matching chapters · Page 36 of 38
Clear filtersGrade 10 · Chapter 701
Inspect regression residuals · practice 76
For inputs [1, 2, 3, 4, 5] and corresponding outputs [-0.25, -5.5, -7, -8.5, -13.75], 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 702
Relate an acute angle to side ratios · practice 72
A right triangle has hypotenuse 10 and a selected acute angle of 25°. 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 703
Measure central-angle proportions · practice 77
A circle has radius 5.5. 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 704
Verify a distance-preserving rotation · practice 77
Rotate (3.5, 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 chapterGrade 10 · Chapter 705
Connect similarity powers · practice 75
Dilate a rectangle with sides 3 and 4.5 by length factor 1.5. 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 706
Track corresponding geometric vertices · practice 71
Translate the point (1, 1) by the vector (5, 2). 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 707
Compare a triangle's base and altitude · practice 75
Find the area of a triangle with base 7 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 708
Distinguish length and cubic scale · practice 77
A rectangular prism has length 2.5, 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 709
Restrict a conditional sample space · practice 77
A chosen group contains 8 successes and 3 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 710
Inspect regression residuals · practice 77
For inputs [1, 2, 3, 4, 5] and corresponding outputs [5.5, 3, 8, 13, 10.5], 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 711
Relate an acute angle to side ratios · practice 73
A right triangle has hypotenuse 11 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 712
Measure central-angle proportions · practice 78
A circle has radius 4. 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 713
Verify a distance-preserving rotation · practice 78
Rotate (1, 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 chapterGrade 10 · Chapter 714
Connect similarity powers · practice 76
Dilate a rectangle with sides 1.5 and 2.25 by length factor 2.75. 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 715
Track corresponding geometric vertices · practice 72
Translate the point (1, 1) by the vector (6, -3). 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 716
Compare a triangle's base and altitude · practice 76
Find the area of a triangle with base 4 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 717
Distinguish length and cubic scale · practice 78
A rectangular prism has length 4, 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 718
Restrict a conditional sample space · practice 78
A chosen group contains 3 successes and 7 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 719
Inspect regression residuals · practice 78
For inputs [1, 2, 3, 4, 5] and corresponding outputs [5.75, -0.5, 4.5, 9.5, 3.25], 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 720
Relate an acute angle to side ratios · practice 74
A right triangle has hypotenuse 12 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 chapter