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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 "Quiz me on the using the discriminant to describe the roots"

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

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

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Practice: Rationalising a denominator with a whole number multiplying the 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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Common Mistakes: Rationalising a denominator of the form root a over root b

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

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

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Learn: What it means for an operation to be commutative

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

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Final Revision: Identity and inverse together, and what they give the set

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Common Mistakes: Why the index laws need the bases to match

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Learn: Why any non-zero number to the power nought is one

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Practice: A fractional index with numerator one, read as a root

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Explain Back: A fractional index with a numerator above one

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Show All Working: The common logarithm, to base ten

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Worked Example: Finding the common difference of an arithmetic progression

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Practice: Finding the twentieth term of a given arithmetic progression

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