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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 "What Cramer's rule gives when the system is inconsistent"

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Common Mistakes: Expressing root 50 as a multiple of root 2

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on exp

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Quiz: Subtracting one surd from another

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Worked Example: Rationalising a denominator that is a single surd

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Show All Working: Checking a rationalised answer by decimal approximation

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

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Show All Working: A conjugate where the surd term comes first

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

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

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Common Mistakes: A surd equation that has no real solution

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

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Quiz: Testing the odd numbers for closure under addition

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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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Explain Back: What it means for an operation to be associative

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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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Show All Working: Using distributivity to simplify an expression

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Common Mistakes: Distributivity on a set of three elements

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