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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The probability that a normal variable lies below a given value"

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Summarise polynomials and the remainder/factor theorems for quick revision

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Summarise the binomial theorem for quick revision

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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: 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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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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Real-life application of completing the square

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Real-life application of the quadratic formula

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Real-life application of the remainder theorem

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Real-life application of the binomial theorem

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Real-life application of the factor theorem

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Real-life application of testing the validity of an argument

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Real-life application of the condition for a line to be tangent to a curve

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