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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 identity that n choose r equals n choose n minus r"

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Spot My Mistake: Dividing one surd by another

Act as my SS1 Further Mathematics tutor. Work a question on dividing one surd by another w

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Learn: Why a surd is never left in the denominator

You are my personal SS1 Further Mathematics tutor. Teach me why a surd is never left in th

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Quiz: Rationalising a denominator of the form one over root 3

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

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Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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Spot My Mistake: Rationalising and then cancelling a common factor

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

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Learn: The conjugate of a compound surd expression

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Worked Example: Why multiplying by the conjugate clears the surd

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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

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WAEC Prep: Expressing the answer in the form a plus b root c

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

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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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

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

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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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Quiz: Testing the odd numbers for closure under addition

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