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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,235 prompts matching "Structured question: quadratic formula with exact surd answer"

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Practice: The variance of a binomial distribution as npq

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Explain Back: Finding n and p from a given mean and variance

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

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Explain Back: Converting a value to a z-score

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Worked Example: Finding a value from a given probability by working backwards

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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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Practice: The components of a vector given its magnitude and direction

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Worked Example: The distance between two points in three dimensions

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Practice: The magnitude of the sum of two vectors

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

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Practice: A vector of stated magnitude in a given direction

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Worked Example: The position vector of the midpoint of AB

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Worked Example: The triangle law of vector addition

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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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Worked Example: Testing two vectors for perpendicularity

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Practice: Deciding whether a point lies on a given line

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Explain Back: The resultant of forces given as vectors

I have just studied the resultant of forces given as vectors in my SS3 Further Mathematics

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Worked Example: The powers of i, and the cycle they follow

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