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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 "Summarise the binomial theorem for quick revision"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Worked Example: Why the square root of a non-square whole number is irrational

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Practice: Deciding whether root 16 is rational or irrational

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

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Final Revision: Approximating a surd to three decimal places

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Quiz: Reducing two surds to the same root in order to compare them

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Final Revision: Surds that cannot be combined at all

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Learn: Simplifying root 72 into its simplest form

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

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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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Final Revision: Checking a conjugate answer by multiplying back

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Quiz: Checking a surd equation for extraneous roots

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Learn: What closure means for a binary operation

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