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Further Mathematics

AI prompts for senior secondary learners.

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908 prompts matching "Rationalising a denominator that is a single surd"

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Show All Working: Solving a cubic equation by factorisation

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Common Mistakes: Three roots in geometric progression in a cubic

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

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Common Mistakes: Arrangements restricted at the first or the last place

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Common Mistakes: Selections in which at least one of a kind must appear

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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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Common Mistakes: Giving the general solution of a trigonometric equation

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

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Common Mistakes: The angle between two lines found from their gradients

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Common Mistakes: The condition for a line to be a tangent to a circle

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Common Mistakes: Identifying a conic from a general second-degree equation

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Common Mistakes: The coefficient of variation, for comparing two sets

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Common Mistakes: The centre of gravity of a uniform lamina

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Common Mistakes: The relative displacement of two bodies after a given time

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Common Mistakes: What becomes of the tension when the string goes slack

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Common Mistakes: The work done against friction on an incline

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Common Mistakes: The condition for a body to complete a vertical circle

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Common Mistakes: The energy of a body in simple harmonic motion

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Common Mistakes: A particle oscillating on the end of an elastic string

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