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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 double angle formula for sine"

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Learn: Simplifying root 72 into its simplest form

You are my personal SS1 Further Mathematics tutor. Teach me simplifying root 72 into its s

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Worked Example: Adding two surds that simplify to the same root

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Quiz: Subtracting one surd from another

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Spot My Mistake: Dividing one surd by another

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Learn: Why a surd is never left in the denominator

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

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Spot My Mistake: Rationalising and then cancelling a common factor

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

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Quiz: Checking a surd equation for extraneous roots

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Final Revision: A word problem that leads to an equation in surd form

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Learn: What closure means for a binary operation

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Practice: Testing a set for closure under multiplication

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Learn: What it means for an operation to be commutative

You are my personal SS1 Further Mathematics tutor. Teach me what it means for an operation

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Worked Example: Testing a*b against b*a for a given rule

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

I have just studied what it means for an operation to be associative in my SS1 Further Mat

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Worked Example: Testing whether star distributes over plus

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Quiz: Finding the identity element from an operation table

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