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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,300 prompts matching "Multiplying a surd by an integer"

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WAEC Prep: The number of elements in the union of two sets

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Common Mistakes: Showing that intersection distributes over union

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Worked Example: Testing whether a binary operation is closed on a given set

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Quiz: Testing a binary operation for commutativity

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Practice: Testing a binary operation for associativity

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Practice: Rationalising a denominator of the form root a

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Final Revision: Proving that root 2 is irrational

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Spot My Mistake: The power law of logarithms

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Final Revision: Sketching the graph of a logarithmic function

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Quiz: Forming a quadratic equation whose roots are given

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Practice: The condition for a quadratic equation to have equal roots

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

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Worked Example: Finding one over alpha plus one over beta

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Quiz: Finding alpha cubed plus beta cubed

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

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Practice: Factorising a cubic completely once one factor is known

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

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WAEC Prep: Sketching a cubic from its factorised form

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Learn: The sum of the roots of a cubic read from its coefficients

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