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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 "How long the inverse of a 3 by 3 matrix takes, and how to shorten it"

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Divide a polynomial by a quadratic

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Spot my mistake solving a cubic equation

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Teach me converse and inverse propositions

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Quiz me on converse and inverse

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Worked example: standard deviation of a small data set

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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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Show All Working: A quadratic whose two roots are both negative

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Show All Working: Roots equal in magnitude but opposite in sign

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Show All Working: Forming an equation whose roots are three alpha and three beta

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Show All Working: Adding and subtracting two polynomials

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Show All Working: Factorising a polynomial with fractional roots

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Common Mistakes: Factorising fully, and knowing when to stop

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Show All Working: Solving a cubic that must first be rearranged

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Common Mistakes: A cubic equation arising from a volume problem

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Show All Working: Translating an English sentence into logical symbols

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