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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 "A simultaneous pair in which the second equation is a circle"

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Worked Example: Drawing the polygon of forces to scale

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Practice: Limiting friction, and the greatest value it can reach

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Spot My Mistake: Why friction does not depend on the area of contact

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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

I have just studied locating the point of concurrence on a diagram in my SS3 Further Mathe

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

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

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Quiz: The direction cosines of a vector in three dimensions

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

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Spot My Mistake: The vector from A to B as the difference of two position vectors

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Worked Example: The position vector of the midpoint of AB

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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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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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