1,252 prompts matching "Multi-part index exam question with a real context"
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Common Mistakes: Solving an exponential equation using logarithms
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Practice: The condition for a quadratic equation to have equal roots
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Practice: Finding alpha minus beta from the sum and the product
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Practice: Factorising a cubic completely once one factor is known
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Practice: Finding the third root of a cubic when two are known
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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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Practice: Arrangements when some of the objects are identical
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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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Practice: The compound angle formula for cosine of A minus B
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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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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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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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Practice: The equation of a circle on a given diameter
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