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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "Distributivity on a set of three elements"

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Worked example: finding the matrix of cofactors and the adjugate

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Spot my mistake in a Cramer's rule solution

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Common Mistakes: Showing that intersection distributes over union

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Common Mistakes: A binary operation defined by arithmetic modulo n

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WAEC Prep: Comparing the sizes of two surds without a calculator

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Final Revision: Proving that root 2 is irrational

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WAEC Prep: The change of base formula for logarithms

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Common Mistakes: Solving an exponential equation using logarithms

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

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Final Revision: Solving a disguised quadratic by substitution

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Show All Working: Finding a coefficient given a stated relation between the roots

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

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Show All Working: Solving a cubic equation by factorisation

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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

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Show All Working: Solving a pair of simultaneous linear inequalities

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Worked Example: The number of arrangements of n different objects in a row

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