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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "the change of base formula in a calculation"

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Learn: The sum of the roots of a cubic read from its coefficients

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Quiz: The product of the roots of a cubic

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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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

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

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Final Revision: Combinations used with the addition and multiplication principles

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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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WAEC Prep: A phase shift in y equals sin of x minus d

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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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