997 prompts matching "Structured question: rationalise and simplify a surd expression"
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Give me common mistakes students make in differentiation
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Give me common mistakes students make in measures of dispersion
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Give me a Week 11 revision checklist
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Explain why Further Maths topics connect to each other
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Give me memory tricks for Further Maths formulas
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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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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: how many ways can 5 books be arranged on a shelf
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Worked example: how many ways can a committee of 4 be chosen from 10 people
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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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