1,025 prompts matching "Quiz: Writing a recurring decimal as a fraction to show it is rational"
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Worked example: finding the middle term of a binomial expansion
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Teach me the laws of indices at Further Maths level
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Worked example: finding where a line meets a circle
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Worked example: proving a trigonometric identity
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Worked example: solving a quadratic trigonometric equation
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Worked example: finding a term in an arithmetic progression
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Worked example: finding the gradient of a curve at a point
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Teach me what a complex number is
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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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Teach me what a matrix is
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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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Simplify the surd expression sqrt(72) + sqrt(18)
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Simplify the surd expression sqrt(50) - sqrt(8)
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Simplify the surd expression (3+sqrt2)(3-sqrt2)
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