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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,329 prompts matching "IGCSE Additional Maths Y11: Giving an exact answer in terms of pi — Exam Techniq"

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

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Final Revision: Solving a disguised quadratic by substitution

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Worked Example: Finding one over alpha plus one over beta

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

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Worked Example: Evaluating a polynomial by substitution

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Practice: Factorising a cubic completely once one factor is known

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

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Common Mistakes: Three roots in geometric progression in a cubic

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

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Practice: Choosing a committee that must contain one particular person

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

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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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Final Revision: Losing solutions by dividing through by cos x

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

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Worked Example: The midpoint formula applied to a given segment

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Practice: The equation of a line through a point with a given gradient

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