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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Find the range of x for which y = x^3 - 3x is increasing"

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WAEC Prep: Pi and root 2 as the two best-known irrational numbers

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Final Revision: Approximating a surd to three decimal places

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Quiz: Reducing two surds to the same root in order to compare them

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

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Final Revision: Surds that cannot be combined at all

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Worked Example: Adding two surds that simplify to the same root

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Quiz: Subtracting one surd from another

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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WAEC Prep: Rationalising a denominator inside a larger expression

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Worked Example: Why multiplying by the conjugate clears the surd

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Final Revision: Checking a conjugate answer by multiplying back

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Quiz: Checking a surd equation for extraneous roots

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Spot My Mistake: Solving a surd equation that leads to a quadratic

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WAEC Prep: A set closed under one operation but not another

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Worked Example: Testing a*b against b*a for a given rule

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Explain Back: What it means for an operation to be associative

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Spot My Mistake: Testing (a*b)*c against a*(b*c)

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WAEC Prep: An operation that is commutative but not associative

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Explain Back: Showing distributivity fails by a counter-example

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WAEC Prep: A rule where distributivity holds one way only

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