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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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656 prompts matching "Factorising a quadratic whose leading coefficient is not one"

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Practice: Deciding whether root 16 is rational or irrational

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

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Show All Working: Classifying a mixed list of numbers as rational or irrational

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Final Revision: Approximating a surd to three decimal places

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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WAEC Prep: Ordering a list of surds by size

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Common Mistakes: Expressing root 50 as a multiple of root 2

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Common Mistakes: Expanding the product of two surd brackets

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Practice: Rationalising a denominator with a whole number multiplying the surd

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WAEC Prep: Rationalising a denominator inside a larger expression

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Show All Working: Checking a rationalised answer by decimal approximation

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Final Revision: Checking a conjugate answer by multiplying back

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Common Mistakes: A surd equation that has no real solution

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Final Revision: A word problem that leads to an equation in surd form

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Spot My Mistake: A binary operation defined on a set of three elements

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Common Mistakes: A binary operation that is ordinary addition in disguise

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