1,030 prompts matching "Give me a mixed revision pack blending three topics"
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Worked example: expanding (2x-3)^5 using the binomial formula
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Worked example: finding the middle term of a binomial expansion
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Worked example: evaluating a power using binomial expansion
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Worked example: simplifying an expression with fractional indices
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Worked example: rationalising a binomial surd denominator
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Spot my mistake checking a logarithmic solution against the domain
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Worked example: finding the gradient of a curve at a point
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Worked example: finding and classifying a stationary point
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Worked example: solving a quadratic with complex roots
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Worked example: plotting a complex number on an Argand diagram
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Worked example: solving simultaneous equations using matrices
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Spot my mistake multiplying a two by two matrix by a two by one matrix
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Spot my mistake finding a vector's magnitude
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Worked example: standard deviation of a small data set
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Solve the logarithmic equation log2(x) + log2(x-2) = 3
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Solve the logarithmic equation log(x+1) - log(x-1) = 2
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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)
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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1
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Solve the logarithmic equation log5(x+3) + log5(2) = 2
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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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