10,000 ways to practice.
One idea at a time.

Attempt · Explain · Animate

Grade 11 practice chapters

1. Grade 11 · Chapter 61

   Trigonometric periods · Amplitude A=0.5; Angular frequency k=1

   Evaluate at x=6π/5 radians, keeping π exact during calculation. Find the signal value, derivative with respect to x, and period. Givens: Amplitude A=0.5; Angular frequency k=1.

   Question · Worked solution · Animated example

   Open practice chapter

2. Grade 11 · Chapter 62

   Triangle area and angle · Second side b=4.5; Included angle (degrees)=120

   Use the included angle C=78°. Find the area and the side opposite C. Givens: Second side b=4.5; Included angle (degrees)=120.

   Question · Worked solution · Animated example

   Open practice chapter

3. Grade 11 · Chapter 63

   Rescaling data · Scale a=1.5; Shift b=0.5

   Use the completed transformation, at the end of the animation. Find the transformed mean, population variance, and population standard deviation. Givens: Scale a=1.5; Shift b=0.5.

   Question · Worked solution · Animated example

   Open practice chapter

4. Grade 11 · Chapter 64

   Polynomial roots · First root a=0.5; Second root b=0.5

   Evaluate at x=0.8. Find the function value, tangent slope, and vertical line of symmetry. Givens: First root a=0.5; Second root b=0.5.

   Question · Worked solution · Animated example

   Open practice chapter

5. Grade 11 · Chapter 65

   Rational functions · Numerator a=4; Pole location b=1.5

   Evaluate at x=4, exactly 2.5 units to the right of the pole. Find the value, derivative, and excluded input. Givens: Numerator a=4; Pole location b=1.5.

   Question · Worked solution · Animated example

   Open practice chapter

6. Grade 11 · Chapter 66

   Logarithms and domains · Domain boundary a=1.5; Logarithm base b=5

   Use x=4.58; the logarithm argument is exactly 3.08. State the domain, evaluate the logarithm, and recover the argument by exponentiation. Givens: Domain boundary a=1.5; Logarithm base b=5.

   Question · Worked solution · Animated example

   Open practice chapter

7. Grade 11 · Chapter 67

   Exponential calibration · Initial value a=1; Exponential rate b=-0.3

   Evaluate at t=2.4 time units. Find the signal value, tangent slope, and multiplicative change from f(0). Givens: Initial value a=1; Exponential rate b=-0.3.

   Question · Worked solution · Animated example

   Open practice chapter

8. Grade 11 · Chapter 68

   Geometric sums · First term a=4.5; Ratio r=-0.1

   Include the first n=8 terms, from ar⁰ through ar⁷. Calculate the finite sum, last included term, and infinite-series limit. Givens: First term a=4.5; Ratio r=-0.1.

   Question · Worked solution · Animated example

   Open practice chapter

9. Grade 11 · Chapter 69

   Complex polar form · Modulus r=1; Final angle (degrees)=-150

   Evaluate at the signed angle θ=-90° (three fifths of that final angle). Find its real and imaginary components and verify its modulus. Givens: Modulus r=1; Final angle (degrees)=-150.

   Question · Worked solution · Animated example

   Open practice chapter

10. Grade 11 · Chapter 70

    Trigonometric periods · Amplitude A=1; Angular frequency k=1.5

    Evaluate at x=6π/5 radians, keeping π exact during calculation. Find the signal value, derivative with respect to x, and period. Givens: Amplitude A=1; Angular frequency k=1.5.

    Question · Worked solution · Animated example

    Open practice chapter

11. Grade 11 · Chapter 71

    Triangle area and angle · Second side b=5; Included angle (degrees)=135

    Use the included angle C=87°. Find the area and the side opposite C. Givens: Second side b=5; Included angle (degrees)=135.

    Question · Worked solution · Animated example

    Open practice chapter

12. Grade 11 · Chapter 72

    Quadratic sequences · Quadratic coefficient a=1.5; Linear coefficient b=0.5

    Use index n=6. Calculate u₆, the forward first difference u₇−u₆, and the second difference u₈−2u₇+u₆. Givens: Quadratic coefficient a=1.5; Linear coefficient b=0.5.

    Question · Worked solution · Animated example

    Open practice chapter

13. Grade 11 · Chapter 73

    Rescaling data · Scale a=2; Shift b=1

    Use the completed transformation, at the end of the animation. Find the transformed mean, population variance, and population standard deviation. Givens: Scale a=2; Shift b=1.

    Question · Worked solution · Animated example

    Open practice chapter

14. Grade 11 · Chapter 74

    Rational functions · Numerator a=0.5; Pole location b=-1.5

    Evaluate at x=1, exactly 2.5 units to the right of the pole. Find the value, derivative, and excluded input. Givens: Numerator a=0.5; Pole location b=-1.5.

    Question · Worked solution · Animated example

    Open practice chapter

15. Grade 11 · Chapter 75

    Logarithms and domains · Domain boundary a=2; Logarithm base b=1.5

    Use x=5.08; the logarithm argument is exactly 3.08. State the domain, evaluate the logarithm, and recover the argument by exponentiation. Givens: Domain boundary a=2; Logarithm base b=1.5.

    Question · Worked solution · Animated example

    Open practice chapter

16. Grade 11 · Chapter 76

    Exponential calibration · Initial value a=1.5; Exponential rate b=-0.2

    Evaluate at t=2.4 time units. Find the signal value, tangent slope, and multiplicative change from f(0). Givens: Initial value a=1.5; Exponential rate b=-0.2.

    Question · Worked solution · Animated example

    Open practice chapter

17. Grade 11 · Chapter 77

    Geometric sums · First term a=5; Ratio r=0

    Include the first n=8 terms, from ar⁰ through ar⁷. Calculate the finite sum, last included term, and infinite-series limit. Givens: First term a=5; Ratio r=0.

    Question · Worked solution · Animated example

    Open practice chapter

18. Grade 11 · Chapter 78

    Complex polar form · Modulus r=1.5; Final angle (degrees)=-135

    Evaluate at the signed angle θ=-81° (three fifths of that final angle). Find its real and imaginary components and verify its modulus. Givens: Modulus r=1.5; Final angle (degrees)=-135.

    Question · Worked solution · Animated example

    Open practice chapter

19. Grade 11 · Chapter 79

    Trigonometric periods · Amplitude A=1.5; Angular frequency k=2

    Evaluate at x=6π/5 radians, keeping π exact during calculation. Find the signal value, derivative with respect to x, and period. Givens: Amplitude A=1.5; Angular frequency k=2.

    Question · Worked solution · Animated example

    Open practice chapter

20. Grade 11 · Chapter 80

    Triangle area and angle · Second side b=5.5; Included angle (degrees)=150

    Use the included angle C=96°. Find the area and the side opposite C. Givens: Second side b=5.5; Included angle (degrees)=150.

    Question · Worked solution · Animated example

    Open practice chapter