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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 "IGCSE Additional Maths Y11: Sketching a curve from its stationary points — Commo"

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Final Revision: Approximating a surd to three decimal places

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Worked Example: What makes two surds equal

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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Show All Working: Deciding whether two given surds are equal without a calculator

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

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Final Revision: Surds that cannot be combined at all

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

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Spot My Mistake: Dividing one surd by another

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Show All Working: Simplifying a surd expression that contains brackets

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Common Mistakes: Expanding the product of two surd brackets

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

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Worked Example: Rationalising a denominator that is a single surd

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Explain Back: Simplifying the answer once the denominator is rational

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Spot My Mistake: Rationalising and then cancelling a common factor

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Show All Working: Checking a rationalised answer by decimal approximation

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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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Worked Example: Why multiplying by the conjugate clears the surd

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