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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,327 prompts matching "Forming an algebraic expression from a word problem"

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Final revision: my three hardest Further Maths topics

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Learn: The union of two sets written in set-builder notation

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Worked Example: The intersection of two overlapping sets

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Explain Back: The symmetric difference of two sets

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WAEC Prep: The number of elements in the union of two sets

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Common Mistakes: Showing that intersection distributes over union

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

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Worked Example: Testing whether a binary operation is closed on a given set

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Explain Back: Finding the identity element of a binary operation

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Learn: Simplifying a surd by extracting the largest perfect square

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Worked Example: Collecting like surds in a single sum

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

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Spot My Mistake: Squaring a bracket that contains a surd

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WAEC Prep: Comparing the sizes of two surds without a calculator

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Show All Working: Expressing a number in the form a root b

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Final Revision: Proving that root 2 is irrational

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Spot My Mistake: The power law of logarithms

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Final Revision: Sketching the graph of a logarithmic function

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Show All Working: Solving a quadratic by completing the square

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