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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,318 prompts matching "IGCSE Additional Maths Y10: The solution set lying between the roots — Worked Ex"

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Show All Working: Solving a quadratic by completing the square

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Show All Working: Finding a coefficient given a stated relation between the roots

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

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

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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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WAEC Prep: Pascal's triangle and the combination numbers in it

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Show All Working: Counting the handshakes, or the lines joining n points

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

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WAEC Prep: The three forms of the double angle formula for cosine

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

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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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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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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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Final Revision: Losing solutions by dividing through by cos x

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

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