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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 "Teach me the completing the square when the coefficient of x squared is one"

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

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Explain Back: Finding alpha squared beta plus alpha beta squared

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Quiz: The factor theorem, and testing whether x minus a is a factor

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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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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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Show All Working: Solving a pair of simultaneous linear inequalities

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Spot My Mistake: Arrangements in which two particular objects must be kept apart

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WAEC Prep: Circular permutations of n objects round a table

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Explain Back: Choosing a committee with a stated number from each of two groups

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Spot My Mistake: The identity that n choose r equals n choose n minus r

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Show All Working: Counting the handshakes, or the lines joining n points

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Common Mistakes: Selections in which at least one of a kind must appear

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Final Revision: Combinations used with the addition and multiplication principles

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Spot My Mistake: The double angle formula for sine

Act as my SS3 Further Mathematics tutor. Work a question on the double angle formula for s

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Show All Working: The half angle formulae and the t-substitution

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Quiz: The tangent curve and its asymptotes

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WAEC Prep: A phase shift in y equals sin of x minus d

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