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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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688 prompts matching "Treating any vector with small components as a unit vector"

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Worked Example: Testing a*b against b*a for a given rule

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Worked Example: Testing whether star distributes over plus

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Explain Back: Showing distributivity fails by a counter-example

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Show All Working: Using distributivity to simplify an expression

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Common Mistakes: Distributivity on a set of three elements

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Explain Back: What an inverse element is

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

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Explain Back: The law for a product raised to a power

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Show All Working: Simplifying an expression that mixes the index types

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Worked Example: Solving an indicial equation where one side must be factorised first

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Show All Working: A word problem that leads to an indicial equation

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Common Mistakes: An indicial equation solved by substitution

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Common Mistakes: Reading a logarithm from a table

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Worked Example: The law for the logarithm of a quotient

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Explain Back: Splitting a single logarithm into several

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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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Common Mistakes: A logarithmic equation that becomes a quadratic

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Worked Example: Writing out the terms of a sequence from its nth term

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Explain Back: Spotting the pattern in a sequence of squares or cubes

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