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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 "Solving an equation written in terms of a binary operation"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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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WAEC Prep: Pi and root 2 as the two best-known irrational numbers

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Quiz: Reducing two surds to the same root in order to compare them

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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Worked Example: Adding two surds that simplify to the same root

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Practice: Multiplying a whole number by a surd

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WAEC Prep: Squaring a single surd

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Worked Example: Rationalising a denominator that is a single surd

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

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WAEC Prep: Rationalising a denominator inside a larger expression

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Worked Example: Why multiplying by the conjugate clears the surd

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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Quiz: Evaluating a*b from a given rule

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Worked Example: Testing the even numbers for closure under addition

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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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WAEC Prep: A set closed under one operation but not another

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

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Practice: An operation that is not commutative, with a counter-example

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