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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,110 prompts matching "IGCSE Additional Maths Y10: Solving a cubic equation from its factors — Explain"

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Worked example: finding the matrix of cofactors and the adjugate

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Worked example: finding the argument in the correct quadrant

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Spot my mistake in a Cramer's rule solution

I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su

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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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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements

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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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Final Revision: The power set, and how many subsets a set of n elements has

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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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Spot My Mistake: Finding the inverse of an element under a binary operation

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WAEC Prep: Completing a Cayley table for an operation on a small set

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Final Revision: Deciding whether a set under an operation forms a group

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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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