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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Finding the first term from the sum and the common difference"

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

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Worked Example: Finding one over alpha plus one over beta

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Explain Back: Finding alpha squared beta plus alpha beta squared

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

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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

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

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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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Spot My Mistake: Showing the solution of an inequality on a number line

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Show All Working: Arrangements of the letters of a given word

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

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

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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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Spot My Mistake: The double angle formula for sine

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WAEC Prep: The three forms of the double angle formula for cosine

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Learn: Solving sin x equals a given value between 0 and 360 degrees

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