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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 me on checking both pairs of solutions of a linear-quadratic pair"

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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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Quiz: Testing a binary operation for commutativity

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Show All Working: Solving an equation written in terms of a binary operation

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Practice: Rationalising a denominator of the form root a

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

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Learn: The multiplication and division laws of indices used together

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Final Revision: Sketching the graph of a logarithmic function

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Worked Example: The discriminant, and what each of its three cases means

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

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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WAEC Prep: Writing a solution set in interval notation

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Common Mistakes: The range of values of x for which an expression stays positive

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