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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Structured question: find f^-1(x) and verify it"

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WAEC Prep: Completing a Cayley table for an operation on a small set

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Final Revision: Deciding whether a set under an operation forms a group

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Learn: Simplifying a surd by extracting the largest perfect square

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Spot My Mistake: Squaring a bracket that contains a surd

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Final Revision: Proving that root 2 is irrational

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Quiz: Forming a quadratic equation whose roots are given

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Quiz: The product of the roots of a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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Final Revision: Checking that the roots found satisfy the original equation

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Quiz: The number of arrangements of r objects chosen from n

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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WAEC Prep: Circular permutations of n objects round a table

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Common Mistakes: Arrangements restricted at the first or the last place

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Final Revision: Counting the number plates or codes that can be formed under a rule

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Common Mistakes: Selections in which at least one of a kind must appear

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