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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "De Morgan's laws in logic"

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

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Show All Working: Solving an equation written in terms of a binary operation

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Learn: Simplifying a surd by extracting the largest perfect square

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Worked Example: Collecting like surds in a single sum

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

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Show All Working: Expressing a number in the form a root b

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Final Revision: Proving that root 2 is irrational

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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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Final Revision: Sketching the graph of a logarithmic function

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Worked Example: The discriminant, and what each of its three cases means

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

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Show All Working: Solving a quadratic by completing the square

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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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Learn: Finding alpha squared plus beta squared from the sum and product

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Worked Example: Finding one over alpha plus one over beta

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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

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

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