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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Structured question: find f^-1(x) and verify it"

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Common sign errors in algebraic manipulation

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Learn: Telling a rational number from an irrational one

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Common Mistakes: Why a rational number added to an irrational one stays irrational

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Final Revision: Approximating a surd to three decimal places

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Learn: What makes two surds similar

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Quiz: Reducing two surds to the same root in order to compare them

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WAEC Prep: Ordering a list of surds by size

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Common Mistakes: Expressing root 50 as a multiple of root 2

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Final Revision: Surds that cannot be combined at all

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Quiz: Subtracting one surd from another

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Spot My Mistake: Dividing one surd by another

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WAEC Prep: Squaring a single surd

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Learn: Why a surd is never left in the denominator

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Quiz: Rationalising a denominator of the form one over root 3

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WAEC Prep: Rationalising a denominator inside a larger expression

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Final Revision: Expressing a rationalised answer in the form a root b over c

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Learn: The conjugate of a compound surd expression

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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