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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,318 prompts matching "IGCSE Additional Maths Y10: The solution set when the two roots are equal — Spot"

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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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Quiz: The product of the roots of a cubic

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Spot My Mistake: The relations between roots and coefficients for a quartic

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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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Quiz: The number of arrangements of r objects chosen from n

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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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Spot My Mistake: The identity that n choose r equals n choose n minus r

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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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Quiz: The compound angle formula for sine of A plus B

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Spot My Mistake: The double angle formula for sine

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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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Quiz: Solving tan x equals a given value, and the period of the tangent

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