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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 "The definition of the derivative as a limit"

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Quiz me on coordinate geometry basics

Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin

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Worked example: sum to infinity of a geometric series

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Worked example: finding and classifying a stationary point

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Quiz me on basic differentiation

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Worked example: finding the angle between two vectors

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Worked example: standard deviation of a small data set

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Summarise polynomials and the remainder/factor theorems for quick revision

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Summarise the binomial theorem for quick revision

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Test me under exam conditions on polynomials and the remainder/factor theorems

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Test me under exam conditions on the binomial theorem

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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: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: how many ways can a committee of 4 be chosen from 10 people

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Worked example: expand (x+2)^5 fully using the binomial theorem

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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Real-life application of sum and product of roots

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