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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 matrix, and what it does in a product"

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Quiz: Subtracting one surd from another

Act as my SS1 Further Mathematics tutor and quiz me on subtracting one surd from another.

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Spot My Mistake: Dividing one surd by another

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

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

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Explain Back: Simplifying the answer once the denominator is rational

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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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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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Common Mistakes: Rationalising when both terms of the denominator are surds

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Practice: Solving an equation with a surd on each side

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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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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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WAEC Prep: Writing a binary operation rule from a description in words

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Common Mistakes: A binary operation that is ordinary addition in disguise

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

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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Final Revision: Why closure is checked before any other property

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