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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,319 prompts matching "IGCSE Additional Maths Y11: Stating the answer with its proper units — Exam Tech"

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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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Worked Example: Solving a quadratic inequality by sketching the parabola

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Common Mistakes: The range of values of x for which an expression stays positive

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

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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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Worked Example: The difference between a permutation and a combination

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

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Practice: The compound angle formula for cosine of A minus B

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Explain Back: The compound angle formula for tan of A plus B

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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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Practice: Solving an equation of the form sin of 2x equals a given value

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Common Mistakes: Giving the general solution of a trigonometric equation

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Worked Example: The shape, period and range of the cosine curve

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

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Explain Back: The effect of b in y equals sin bx on the period

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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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