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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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813 prompts matching "Finding a missing intersection from set sizes"

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

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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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Quiz: Solving an index equation by writing both sides to the same base

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Practice: Converting between index form and logarithm form

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

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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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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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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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Quiz: The factor theorem, and testing whether x minus a is a factor

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Practice: Factorising a cubic completely once one factor is known

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Show All Working: Solving a cubic equation by factorisation

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