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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Practice: The compound angle formula for cosine of A minus B"

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Solve the logarithmic equation log2(x) + log2(x-2) = 3

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Solve the logarithmic equation log(x+1) - log(x-1) = 2

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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

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Simplify the surd expression sqrt(72) + sqrt(18)

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Simplify the surd expression sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Real-life application of measures of dispersion

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Real-life application of sum and product of roots

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Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Non-calculator paper: subtract polynomials and state the degree

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

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Common Mistakes: Writing down the roots once the brackets are found

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Quiz: Completing the square on x squared plus 6x

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