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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Quiz: The remainder on dividing by x plus 2"

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

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

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Practice: Rationalising a denominator of the form root a

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Learn: The multiplication and division laws of indices used together

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Final Revision: Sketching the graph of a logarithmic function

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Practice: The condition for a quadratic equation to have equal roots

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Final Revision: Checking that the roots found satisfy the original equation

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