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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,168 prompts matching "IGCSE Additional Maths Y10: A cubic with only one real root — Common Mistakes"

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

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Practice: Finding alpha minus beta from the sum and the product

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

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Show All Working: Solving a pair of simultaneous linear inequalities

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

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Practice: Arrangements when some of the objects are identical

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

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

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

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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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Common Mistakes: Giving the general solution of a trigonometric equation

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

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

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

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Show All Working: Proving two given lines perpendicular from their gradients

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