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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 "Logical reasoning with 'and' versus 'or' in sets"

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

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

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Quiz: Testing a binary operation for commutativity

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

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

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Quiz: Multiplying two surds and simplifying the result

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Learn: The multiplication and division laws of indices used together

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Quiz: Forming a quadratic equation whose roots are given

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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: Proving that a quadratic expression is positive for every real x

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Learn: Finding alpha squared plus beta squared from the sum and product

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Learn: The degree of a polynomial and its leading coefficient

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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WAEC Prep: Sketching a cubic from its factorised form

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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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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Final Revision: Counting the number plates or codes that can be formed under a rule

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