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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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351 prompts matching "A probability found by counting arrangements"

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Common Mistakes: A binary operation defined by arithmetic modulo n

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Learn: Simplifying a surd by extracting the largest perfect square

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

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Show All Working: Solving a quadratic by completing the square

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Final Revision: Solving a disguised quadratic by substitution

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

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Worked Example: Evaluating a polynomial by substitution

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Show All Working: Solving a cubic equation by factorisation

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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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Worked Example: Solving a quadratic inequality by sketching the parabola

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

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Quiz: The number of arrangements of r objects chosen from n

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Practice: Arrangements when some of the objects are identical

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

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Common Mistakes: Arrangements restricted at the first or the last place

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

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Final Revision: Proving an identity by working on one side only

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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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