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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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Common Mistakes: Expressing root 50 as a multiple of root 2

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Common Mistakes: A surd equation that has no real solution

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

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Explain Back: What it means for an operation to be associative

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Show All Working: An operation that is associative but not commutative

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Common Mistakes: Subtraction as an example of neither law

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Worked Example: The law for multiplying powers of the same base

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

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Worked Example: Writing an index statement as a logarithm

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Show All Working: The common logarithm, to base ten

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

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Explain Back: A logarithmic equation written in two different bases

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Show All Working: Comparing logarithms given in different bases

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

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Show All Working: Writing the solution of an inequality as a set

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Common Mistakes: A double inequality such as 2 less than x less than 7

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Common Mistakes: A quadratic inequality that has to be rearranged first

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