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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 "Spot the examiner's trick in a factorisation question"

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Quiz: A rod resting against a wall, and the concurrence of its three forces

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Spot My Mistake: Finding two unknown tensions from three forces in equilibrium

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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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Spot My Mistake: When Lami's theorem may be used, and when it may not

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

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Explain Back: The binomial probability formula

I have just studied the binomial probability formula in my SS3 Further Mathematics class.

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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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Quiz: The probability in the upper tail of a normal distribution

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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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Spot My Mistake: Drawing a vector as a directed line segment

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Learn: The coordinates of a point in three dimensions

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Quiz: The direction cosines of a vector 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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