Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →415 prompts matching "Practice: Testing a binary operation for associativity"
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Common sign errors in algebraic manipulation
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Subscribe to unlock allCommon mistakes with composite and inverse functions
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Subscribe to unlock allLearn: Telling a rational number from an irrational one
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Subscribe to unlock allWorked Example: Why the square root of a non-square whole number is irrational
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Subscribe to unlock allQuiz: Writing a recurring decimal as a fraction to show it is rational
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Subscribe to unlock allSpot My Mistake: The decimal expansion of an irrational number, and why it never repeats
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Subscribe to unlock allLearn: What makes two surds similar
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Subscribe to unlock allWorked Example: What makes two surds equal
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Subscribe to unlock allQuiz: Reducing two surds to the same root in order to compare them
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Subscribe to unlock allSpot My Mistake: Why root 8 and root 2 turn out to be similar
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Subscribe to unlock allWorked Example: Adding two surds that simplify to the same root
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Subscribe to unlock allQuiz: Subtracting one surd from another
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Subscribe to unlock allSpot My Mistake: Dividing one surd by another
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Subscribe to unlock allLearn: Why a surd is never left in the denominator
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Subscribe to unlock allWorked Example: Rationalising a denominator that is a single surd
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Subscribe to unlock allSpot My Mistake: Rationalising and then cancelling a common factor
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Subscribe to unlock allLearn: The conjugate of a compound surd expression
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Subscribe to unlock allWorked Example: Why multiplying by the conjugate clears the surd
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Subscribe to unlock allSpot My Mistake: Simplifying the denominator once the conjugate has been used
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Subscribe to unlock allLearn: Solving an equation with a single square root term
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