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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Expressing a rationalised answer in the form a root b over c"

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Worked Example: The moment of a force about a point on its own line of action

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Explain Back: The units of a moment, and why they are newton metres

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Explain Back: Locating the point of concurrence on a diagram

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Worked Example: Matching each force to the sine of the angle opposite it

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Learn: Finding two unknown forces by Lami's theorem

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Learn: Finding the coefficient of a stated power in an expansion

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Practice: The probability of exactly r events in a Poisson distribution

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Worked Example: The probability of no events at all in a Poisson distribution

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Practice: The variance of a binomial distribution as npq

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Learn: The standard deviation of a binomial distribution

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Explain Back: Testing whether data are Poisson by comparing mean and variance

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Practice: Using the normal tables when the z-score is negative

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Worked Example: The continuity correction when approximating a discrete distribution

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Learn: The coordinates of a point in three dimensions

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Worked Example: The distance between two points in three dimensions

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Worked Example: Finding the unit vector in the direction of a given vector

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Worked Example: The position vector of the midpoint of AB

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Learn: Subtracting one vector from another

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Practice: The dot product as the magnitudes times the cosine of the angle

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Explain Back: The dot product of two perpendicular vectors

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