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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 "Quiz: Why one person is fixed in a circular arrangement"

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

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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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Spot My Mistake: Reading closure off an operation table

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Show All Working: Showing a set is not closed by a single counter-example

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

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Show All Working: An operation that is associative but not commutative

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Show All Working: Using distributivity to simplify an expression

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Spot My Mistake: Finding the inverse of a given element

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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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Final Revision: Evaluating a numerical expression using the index laws

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Practice: A fractional index with numerator one, read as a root

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