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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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590 prompts matching "Deciding whether two given surds are equal without a calculator"

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Quiz: The factor theorem, and testing whether x minus a is a factor

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Quiz: Solving a quadratic inequality using a sign table

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Practice: Solving an inequality with the unknown in the denominator

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Show All Working: Solving a pair of simultaneous linear inequalities

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

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Practice: Arrangements when some of the objects are identical

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

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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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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Practice: The effect of a in y equals a sin x

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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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Final Revision: The graphs of y equals sec x, cosec x and cot x

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Worked Example: The midpoint formula applied to a given segment

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