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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 "Spot the examiner's trick in a factorisation question"

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Worked Example: Why multiplying by the conjugate clears the surd

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why mu

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

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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

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

Act as my SS1 Further Mathematics tutor. Work a question on solving a surd equation that l

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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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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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Quiz: Testing the odd numbers for closure under addition

Act as my SS1 Further Mathematics tutor and quiz me on testing the odd numbers for closure

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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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Spot My Mistake: Reading closure off an operation table

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Final Revision: Why closure is checked before any other property

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

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Worked Example: Testing whether star distributes over plus

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Spot My Mistake: Checking distributivity from two operation tables

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Final Revision: Why distributivity links two operations rather than one

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