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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 "An argument written in words and tested for validity"

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WAEC Prep: Ordering a list of surds by size

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

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WAEC Prep: Squaring a single surd

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Show All Working: Simplifying a surd expression that contains brackets

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Worked Example: Rationalising a denominator that is a single surd

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WAEC Prep: Rationalising a denominator inside a larger expression

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Worked Example: Why multiplying by the conjugate clears the surd

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Show All Working: A conjugate where the surd term comes first

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

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Worked Example: Squaring both sides safely when solving a surd equation

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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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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WAEC Prep: A set closed under one operation but not another

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Show All Working: Showing a set is not closed by a single counter-example

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WAEC Prep: An operation that is commutative but not associative

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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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