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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "The common logarithm, to base ten"

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Give me common mistakes students make in the binomial theorem

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Give me common mistakes students make in vectors

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Quiz me on the whole term's Further Maths topics

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Create flashcard questions for Further Maths topics

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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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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Real-life application of the factor theorem

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Real-life application of the condition for a line to be tangent to a curve

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Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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Practice: Factorising a quadratic with a common factor taken out first

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

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Common Mistakes: Roots that are reciprocals of one another

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Common Mistakes: A symmetric function needing the sum and product twice over

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