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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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748 prompts matching "Determine command word: validity of an argument"

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

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Learn: Simplifying root 72 into its simplest form

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Show All Working: Simplifying a surd expression that contains brackets

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Learn: Why a surd is never left in the denominator

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

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Common Mistakes: A surd equation that has no real solution

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Learn: What a binary operation actually is

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

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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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Common Mistakes: Writing a root as a fractional index before simplifying

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Show All Working: The common logarithm, to base ten

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Common Mistakes: Reading a logarithm from a table

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Final Revision: Proving a logarithmic identity from the laws

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Show All Working: Comparing logarithms given in different bases

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