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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Learn: The sum of the roots as minus b over a"

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

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Worked Example: Collecting like surds in a single sum

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Quiz: Forming a quadratic equation whose roots are given

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Show All Working: Solving a quadratic by completing the square

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Worked Example: Finding one over alpha plus one over beta

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Explain Back: Forming a cubic equation whose three roots are given

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Show All Working: Solving a pair of simultaneous linear inequalities

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WAEC Prep: Circular permutations of n objects round a table

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

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Quiz: Choosing a committee of r people from n

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

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

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Final Revision: Combinations used with the addition and multiplication principles

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

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Show All Working: Proving two given lines perpendicular from their gradients

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Common Mistakes: The angle between two lines found from their gradients

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