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

Choose a starting point
Practice at your level.
Grade labels are starting points; school sequences vary. Advanced chapters assume the prerequisites listed on their pages.
Attempt · Explain · Animate
Grade 12 practice chapters
581–600 of 600 matching chapters · Page 30 of 30
Clear filtersGrade 12 · Chapter 581
Binomial probability · Trial count n=16; Success probability p=0.05
Use success count k=10. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=16; Success probability p=0.05.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 582
Cubic derivatives · Cubic coefficient a=-1.5; Linear coefficient b=2.5
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=-1.5; Linear coefficient b=2.5.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 583
Substitution and bounds · Exponent factor k=0.8; Final upper bound B=1.5
Integrate from x=0 to x=0.9. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.8; Final upper bound B=1.5.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 584
Binomial probability · Trial count n=2; Success probability p=0.35
Use success count k=1. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=2; Success probability p=0.35.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 585
Substitution and bounds · Exponent factor k=0.85; Final upper bound B=1.75
Integrate from x=0 to x=1.05. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.85; Final upper bound B=1.75.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 586
Binomial probability · Trial count n=3; Success probability p=0.4
Use success count k=2. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=3; Success probability p=0.4.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 587
Cubic derivatives · Cubic coefficient a=-0.5; Linear coefficient b=-3
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=-0.5; Linear coefficient b=-3.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 588
Substitution and bounds · Exponent factor k=0.9; Final upper bound B=2
Integrate from x=0 to x=1.2. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.9; Final upper bound B=2.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 589
Binomial probability · Trial count n=4; Success probability p=0.45
Use success count k=3. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=4; Success probability p=0.45.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 590
Cubic derivatives · Cubic coefficient a=0; Linear coefficient b=-2.5
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=0; Linear coefficient b=-2.5.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 591
Substitution and bounds · Exponent factor k=0.95; Final upper bound B=0.5
Integrate from x=0 to x=0.3. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.95; Final upper bound B=0.5.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 592
Binomial probability · Trial count n=5; Success probability p=0.5
Use success count k=3. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=5; Success probability p=0.5.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 593
Cubic derivatives · Cubic coefficient a=0.5; Linear coefficient b=-2
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=0.5; Linear coefficient b=-2.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 594
Substitution and bounds · Exponent factor k=1; Final upper bound B=0.75
Integrate from x=0 to x=0.45. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=1; Final upper bound B=0.75.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 595
Binomial probability · Trial count n=6; Success probability p=0.55
Use success count k=4. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=6; Success probability p=0.55.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 596
Cubic derivatives · Cubic coefficient a=1; Linear coefficient b=-1.5
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=1; Linear coefficient b=-1.5.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 597
Substitution and bounds · Exponent factor k=0.1; Final upper bound B=1.75
Integrate from x=0 to x=1.05. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.1; Final upper bound B=1.75.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 598
Binomial probability · Trial count n=7; Success probability p=0.6
Use success count k=4. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=7; Success probability p=0.6.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 599
Cubic derivatives · Cubic coefficient a=1.5; Linear coefficient b=-1
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=1.5; Linear coefficient b=-1.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 600
Substitution and bounds · Exponent factor k=0.15; Final upper bound B=2
Integrate from x=0 to x=1.2. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.15; Final upper bound B=2.
Question · Worked solution · Animated example
Open practice chapter