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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 "The time at which two bodies are nearest one another"

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

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Final Revision: Expressing a rationalised answer in the form a root b over c

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Worked Example: Why multiplying by the conjugate clears the surd

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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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Explain Back: Solving an equation where the surd must be isolated first

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WAEC Prep: Equating the rational and the irrational parts of an equation

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Worked Example: Reading the symbol used for a binary operation

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Explain Back: A binary operation defined on the integers

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Final Revision: Deciding whether a given rule really is a binary operation

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

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Common Mistakes: Checking an inverse by working the operation both ways

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Final Revision: Identity and inverse together, and what they give the set

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Common Mistakes: Why the index laws need the bases to match

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Final Revision: Evaluating a numerical expression using the index laws

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Explain Back: An indicial equation with the unknown in the exponent on both sides

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WAEC Prep: Why the logarithm of a negative number does not exist

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Spot My Mistake: Evaluating an expression using the laws of logarithms

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Practice: The relation between log a of b and log b of a

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Spot My Mistake: A logarithm to base e, the natural logarithm

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