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
301–320 of 750 matching chapters · Page 16 of 38
Clear filtersGrade 10 · Chapter 301
Restrict a conditional sample space · practice 31
A chosen group contains 6 successes and 8 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 302
Inspect regression residuals · practice 31
For inputs [1, 2, 3, 4, 5] and corresponding outputs [4.5, -2, 1.5, 5, -1.5], 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 303
Relate an acute angle to side ratios · practice 31
A right triangle has hypotenuse 7 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 304
Measure central-angle proportions · practice 32
A circle has radius 5.5. 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 305
Verify a distance-preserving rotation · practice 32
Rotate (3.75, 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 306
Connect similarity powers · practice 32
Dilate a rectangle with sides 4 and 5 by length factor 0.75. 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 307
Verify a coordinate-distance model · practice 28
A right triangle has perpendicular legs 6 and 6. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 308
Track corresponding geometric vertices · practice 30
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 309
Compare a triangle's base and altitude · practice 31
Find the area of a triangle with base 10 and perpendicular height 8.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 310
Distinguish length and cubic scale · practice 32
A rectangular prism has length 1.5, width 2, and height 2. Find its volume. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 311
Restrict a conditional sample space · practice 32
A chosen group contains 1 successes and 4 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 312
Inspect regression residuals · practice 32
For inputs [1, 2, 3, 4, 5] and corresponding outputs [4.75, -5.5, -2, 1.5, -8.75], 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 313
Relate an acute angle to side ratios · practice 32
A right triangle has hypotenuse 8 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 314
Measure central-angle proportions · practice 33
A circle has radius 2. Find the area and arc length of its 45° sector. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 315
Verify a distance-preserving rotation · practice 33
Rotate (1.25, 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 316
Connect similarity powers · practice 33
Dilate a rectangle with sides 1.5 and 6 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 317
Verify a coordinate-distance model · practice 29
A right triangle has perpendicular legs 4 and 9. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 318
Track corresponding geometric vertices · practice 31
Translate the point (1, 1) by the vector (-6, -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 319
Compare a triangle's base and altitude · practice 32
Find the area of a triangle with base 4 and perpendicular height 1.5. Follow the calculation, then test the quantities in the animated example.
Question · Worked solution · Animated example
Open practice chapterGrade 10 · Chapter 320
Distinguish length and cubic scale · practice 33
A rectangular prism has length 2, width 4, 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 chapter