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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 "Structured question: combination problem with 'at least' condition"

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

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

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Worked Example: Rewriting a negative index as a fraction

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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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Common Mistakes: An indicial equation solved by substitution

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Worked Example: Writing an index statement as a logarithm

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Practice: Evaluating log to base 2 of 8

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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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Worked Example: Converting a logarithm to base ten so that tables can be used

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Practice: The relation between log a of b and log b of a

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Explain Back: A logarithmic equation written in two different bases

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Practice: Finding the nth term of a quadratic sequence

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

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Worked Example: The alternative sum formula that uses the last term

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Worked Example: Finding the common ratio of a geometric progression

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Practice: Reversing the sign when multiplying by a negative number

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Explain Back: Solving a linear inequality that contains brackets

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