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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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700 prompts matching "finding where a line meets a circle"

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

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Common Mistakes: A binary operation defined by arithmetic modulo n

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

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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WAEC Prep: The change of base formula for logarithms

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Common Mistakes: Solving an exponential equation using logarithms

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

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

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

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Worked Example: Evaluating a polynomial by substitution

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WAEC Prep: Sketching a cubic from its factorised form

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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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Common Mistakes: Three roots in geometric progression in a cubic

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