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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 "Practice: The middle term when the power is odd"

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

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

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Spot My Mistake: Dividing one surd by another

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Common Mistakes: Expanding the product of two surd brackets

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Learn: Why a surd is never left in the denominator

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Explain Back: Simplifying the answer once the denominator is rational

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Common Mistakes: Rationalising a denominator of the form root a over root b

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

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Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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Common Mistakes: Subtraction as an example of neither law

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Learn: What it means for one operation to distribute over another

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Worked Example: Testing whether star distributes over plus

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Spot My Mistake: Finding the inverse of a given element

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Common Mistakes: Checking an inverse by working the operation both ways

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

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Worked Example: The law for multiplying powers of the same base

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

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Final Revision: Evaluating a numerical expression using the index laws

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Spot My Mistake: The logarithm of the base itself

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