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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"

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

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WAEC Prep: Comparing the sizes of two surds without a calculator

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WAEC Prep: The change of base formula for logarithms

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

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WAEC Prep: Forming an equation whose roots are each two more than the original

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Show All Working: Solving a quadratic by completing the square

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

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

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Show All Working: Finding a coefficient given a stated relation between the roots

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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

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Show All Working: Solving a pair of simultaneous linear inequalities

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

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Explain Back: Arrangements in which two particular objects must stay together

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

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

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

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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WAEC Prep: Solving an equation by first applying a double angle formula

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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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