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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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422 prompts matching "Deriving a multiple angle formula from de Moivre's theorem"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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

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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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Worked Example: Squaring both sides safely when solving a surd equation

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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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

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

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Worked Example: Testing the even numbers for closure under addition

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Explain Back: Testing the integers for closure under division

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

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Common Mistakes: Closure on a set of three elements under a stated rule

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WAEC Prep: The inverse of the identity element itself

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Show All Working: An element with no inverse under a given operation

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

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WAEC Prep: Applying two index laws inside one expression

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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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Worked Example: Rewriting a negative index as a fraction

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Explain Back: A fractional index with a numerator above one

I have just studied a fractional index with a numerator above one in my SS1 Further Mathem

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Spot My Mistake: A negative fractional index

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