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Further Mathematics

AI prompts for senior secondary learners.

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755 prompts matching "Structured question: rationalise and simplify a surd expression"

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Learn: Telling a rational number from an irrational one

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Quiz: Writing a recurring decimal as a fraction to show it is rational

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Practice: Deciding whether root 16 is rational or irrational

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Show All Working: Classifying a mixed list of numbers as rational or irrational

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Common Mistakes: Why a rational number added to an irrational one stays irrational

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

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Quiz: Rationalising a denominator of the form one over root 3

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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WAEC Prep: Expressing the answer in the form a plus b root c

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Final Revision: Checking a conjugate answer by multiplying back

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Learn: Solving an equation with a single square root term

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Learn: What a binary operation actually is

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Quiz: Evaluating a*b from a given rule

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Practice: A binary operation set out as a table

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Spot My Mistake: A binary operation defined on a set of three elements

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WAEC Prep: Writing a binary operation rule from a description in words

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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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