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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,314 prompts matching "IGCSE Additional Maths Y10: The horizontal line test — Worked Example"

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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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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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Show All Working: Solving a pair of simultaneous linear inequalities

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

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

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

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

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Worked Example: The difference between a permutation and a combination

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Final Revision: Combinations used with the addition and multiplication principles

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

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

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Show All Working: The half angle formulae and the t-substitution

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

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

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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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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Worked Example: The equation of a circle with a given centre and radius

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