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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 "A logarithmic equation written in two different bases"

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WAEC Prep: The number of elements in the union of two sets

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Quiz: Multiplying two surds and simplifying the result

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

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

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Quiz: Solving an index equation by writing both sides to the same base

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Common Mistakes: Solving an exponential equation using logarithms

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Final Revision: Sketching the graph of a logarithmic function

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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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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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Show All Working: Solving a cubic equation by factorisation

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Practice: Finding the third root of a cubic when two are known

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

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Final Revision: Checking that the roots found satisfy the original equation

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Worked Example: The number of arrangements of n different objects in a row

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

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

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