1,333 prompts matching "a GP where the 2nd term is 6 and the 5th term is 162, find the first term and co"
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Practice: The difference of two sets, A minus B
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference
Spot My Mistake: Squaring a bracket that contains a surd
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Quiz: Solving an index equation by writing both sides to the same base
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Practice: Converting between index form and logarithm form
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Practice: The condition for a quadratic equation to have equal roots
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Quiz: The product of the roots of a cubic
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Practice: Finding the third root of a cubic when two are known
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Practice: Solving an inequality with the unknown in the denominator
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Quiz: The number of arrangements of r objects chosen from n
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Practice: Arrangements when some of the objects are identical
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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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Quiz: The compound angle formula for sine of A plus B
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Practice: The compound angle formula for cosine of A minus B
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Final Revision: Proving an identity by working on one side only
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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Practice: Solving an equation of the form sin of 2x equals a given value
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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Final Revision: Losing solutions by dividing through by cos x
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Practice: The effect of a in y equals a sin x
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