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

Attempt · Explain · Animate

Grade 11 practice chapters

1. Grade 11 · Chapter 201

   Exponential calibration · Initial value a=2.5; 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=2.5; Exponential rate b=0.2.

   Question · Worked solution · Animated example

   Open practice chapter

2. Grade 11 · Chapter 202

   Geometric sums · First term a=3; Ratio r=-0.2

   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=3; Ratio r=-0.2.

   Question · Worked solution · Animated example

   Open practice chapter

3. Grade 11 · Chapter 203

   Complex polar form · Modulus r=2.5; Final angle (degrees)=-75

   Evaluate at the signed angle θ=-45° (three fifths of that final angle). Find its real and imaginary components and verify its modulus. Givens: Modulus r=2.5; Final angle (degrees)=-75.

   Question · Worked solution · Animated example

   Open practice chapter

4. Grade 11 · Chapter 204

   Trigonometric periods · Amplitude A=2.5; 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=2.5; Angular frequency k=1.

   Question · Worked solution · Animated example

   Open practice chapter

5. Grade 11 · Chapter 205

   Triangle area and angle · Second side b=2; Included angle (degrees)=75

   Use the included angle C=51°. Find the area and the side opposite C. Givens: Second side b=2; Included angle (degrees)=75.

   Question · Worked solution · Animated example

   Open practice chapter

6. Grade 11 · Chapter 206

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

   Question · Worked solution · Animated example

   Open practice chapter

7. Grade 11 · Chapter 207

   Polynomial roots · First root a=2; Second root b=2.5

   Evaluate at x=0.8. Find the function value, tangent slope, and vertical line of symmetry. Givens: First root a=2; Second root b=2.5.

   Question · Worked solution · Animated example

   Open practice chapter

8. Grade 11 · Chapter 208

   Rational functions · Numerator a=4; Pole location b=-2

   Evaluate at x=0.5, exactly 2.5 units to the right of the pole. Find the value, derivative, and excluded input. Givens: Numerator a=4; Pole location b=-2.

   Question · Worked solution · Animated example

   Open practice chapter

9. Grade 11 · Chapter 209

   Logarithms and domains · Domain boundary a=0.5; Logarithm base b=5

   Use x=3.58; the logarithm argument is exactly 3.08. State the domain, evaluate the logarithm, and recover the argument by exponentiation. Givens: Domain boundary a=0.5; Logarithm base b=5.

   Question · Worked solution · Animated example

   Open practice chapter

10. Grade 11 · Chapter 210

    Exponential calibration · Initial value a=3; 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=3; Exponential rate b=0.3.

    Question · Worked solution · Animated example

    Open practice chapter

11. Grade 11 · Chapter 211

    Geometric sums · First term a=3.5; 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=3.5; Ratio r=-0.1.

    Question · Worked solution · Animated example

    Open practice chapter

12. Grade 11 · Chapter 212

    Complex polar form · Modulus r=3; Final angle (degrees)=-60

    Evaluate at the signed angle θ=-36° (three fifths of that final angle). Find its real and imaginary components and verify its modulus. Givens: Modulus r=3; Final angle (degrees)=-60.

    Question · Worked solution · Animated example

    Open practice chapter

13. Grade 11 · Chapter 213

    Trigonometric periods · Amplitude A=3; 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=3; Angular frequency k=1.5.

    Question · Worked solution · Animated example

    Open practice chapter

14. Grade 11 · Chapter 214

    Triangle area and angle · Second side b=2.5; Included angle (degrees)=90

    Use the included angle C=60°. Find the area and the side opposite C. Givens: Second side b=2.5; Included angle (degrees)=90.

    Question · Worked solution · Animated example

    Open practice chapter

15. Grade 11 · Chapter 215

    Quadratic sequences · Quadratic coefficient a=1; Linear coefficient b=1

    Use index n=6. Calculate u₆, the forward first difference u₇−u₆, and the second difference u₈−2u₇+u₆. Givens: Quadratic coefficient a=1; Linear coefficient b=1.

    Question · Worked solution · Animated example

    Open practice chapter

16. Grade 11 · Chapter 216

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

    Question · Worked solution · Animated example

    Open practice chapter

17. Grade 11 · Chapter 217

    Polynomial roots · First root a=2.5; Second root b=3

    Evaluate at x=0.8. Find the function value, tangent slope, and vertical line of symmetry. Givens: First root a=2.5; Second root b=3.

    Question · Worked solution · Animated example

    Open practice chapter

18. Grade 11 · Chapter 218

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

    Evaluate at x=2, 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=-0.5.

    Question · Worked solution · Animated example

    Open practice chapter

19. Grade 11 · Chapter 219

    Logarithms and domains · Domain boundary a=1; Logarithm base b=1.5

    Use x=4.08; the logarithm argument is exactly 3.08. State the domain, evaluate the logarithm, and recover the argument by exponentiation. Givens: Domain boundary a=1; Logarithm base b=1.5.

    Question · Worked solution · Animated example

    Open practice chapter

20. Grade 11 · Chapter 220

    Exponential calibration · Initial value a=0.5; Exponential rate b=-0.1

    Evaluate at t=2.4 time units. Find the signal value, tangent slope, and multiplicative change from f(0). Givens: Initial value a=0.5; Exponential rate b=-0.1.

    Question · Worked solution · Animated example

    Open practice chapter