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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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548 prompts matching "Finding a missing coefficient from a stated product of roots"

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Practice: Collecting similar surds in an expression

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

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Final Revision: Surds that cannot be combined at all

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Practice: Multiplying a whole number by a surd

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Show All Working: Simplifying a surd expression that contains brackets

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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Practice: Rationalising a denominator with a whole number multiplying the surd

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Show All Working: Checking a rationalised answer by decimal approximation

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

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Final Revision: Checking a conjugate answer by multiplying back

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Practice: Solving an equation with a surd on each side

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Common Mistakes: A surd equation that has no real solution

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Final Revision: A word problem that leads to an equation in surd form

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Practice: A binary operation set out as a table

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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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Quiz: Testing the odd numbers for closure under addition

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Practice: Testing a set for closure under multiplication

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

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