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Grade 11 practice chapters
81–100 of 600 matching chapters · Page 5 of 30
Clear filtersGrade 11 · Chapter 81
Quadratic sequences · Quadratic coefficient a=2; 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=2; Linear coefficient b=1.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 82
Rescaling data · Scale a=-2; Shift b=-2.5
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=-2.5.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 83
Polynomial roots · First root a=1.5; Second root b=1.5
Evaluate at x=0.8. Find the function value, tangent slope, and vertical line of symmetry. Givens: First root a=1.5; Second root b=1.5.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 84
Rational functions · Numerator a=1; Pole location b=-1
Evaluate at x=1.5, exactly 2.5 units to the right of the pole. Find the value, derivative, and excluded input. Givens: Numerator a=1; Pole location b=-1.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 85
Exponential calibration · Initial value a=2; 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=2; Exponential rate b=-0.1.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 86
Geometric sums · First term a=1; Ratio r=-0.7
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=1; Ratio r=-0.7.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 87
Complex polar form · Modulus r=2; Final angle (degrees)=-120
Evaluate at the signed angle θ=-72° (three fifths of that final angle). Find its real and imaginary components and verify its modulus. Givens: Modulus r=2; Final angle (degrees)=-120.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 88
Trigonometric periods · Amplitude A=2; Angular frequency k=2.5
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=2; Angular frequency k=2.5.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 89
Triangle area and angle · Second side b=6; Included angle (degrees)=165
Use the included angle C=105°. Find the area and the side opposite C. Givens: Second side b=6; Included angle (degrees)=165.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 90
Quadratic sequences · Quadratic coefficient a=-2; Linear coefficient b=-2.5
Use index n=6. Calculate u₆, the forward first difference u₇−u₆, and the second difference u₈−2u₇+u₆. Givens: Quadratic coefficient a=-2; Linear coefficient b=-2.5.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 91
Rescaling data · Scale a=-1.5; Shift b=-2
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=-2.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 92
Polynomial roots · First root a=2; Second root b=2
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.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 93
Rational functions · Numerator a=1.5; 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=1.5; Pole location b=-0.5.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 94
Logarithms and domains · Domain boundary a=-1.5; Logarithm base b=2.5
Use x=1.58; 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=2.5.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 95
Exponential calibration · Initial value a=2.5; Exponential rate b=0
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.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 96
Geometric sums · First term a=1.5; Ratio r=-0.6
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=1.5; Ratio r=-0.6.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 97
Complex polar form · Modulus r=2.5; Final angle (degrees)=-105
Evaluate at the signed angle θ=-63° (three fifths of that final angle). Find its real and imaginary components and verify its modulus. Givens: Modulus r=2.5; Final angle (degrees)=-105.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 98
Trigonometric periods · Amplitude A=2.5; Angular frequency k=3
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=3.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 99
Rescaling data · Scale a=-1; Shift b=-1.5
Use the completed transformation, at the end of the animation. Find the transformed mean, population variance, and population standard deviation. Givens: Scale a=-1; Shift b=-1.5.
Question · Worked solution · Animated example
Open practice chapterGrade 11 · Chapter 100
Polynomial roots · First root a=2.5; 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=2.5; Second root b=2.5.
Question · Worked solution · Animated example
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