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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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480 prompts matching "Why is matrix multiplication not commutative"

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WAEC Prep: Rationalising a denominator inside a larger expression

Act as my SS 1 Further Mathematics teacher setting an examination question. Give me a ques

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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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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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

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

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Common Mistakes: A surd equation that has no real solution

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Common Mistakes: A binary operation that is ordinary addition in disguise

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Final Revision: Deciding whether a given rule really is a binary operation

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Practice: Testing a set for closure under multiplication

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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: Closure on a set of three elements under a stated rule

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Common Mistakes: Subtraction as an example of neither law

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Worked Example: Testing whether star distributes over plus

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Quiz: Left distributivity and right distributivity

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Explain Back: Showing distributivity fails by a counter-example

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Spot My Mistake: Checking distributivity from two operation tables

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