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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,203 prompts matching "Why a conditional and its converse are not equivalent"

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Quiz: The direction cosines of a vector in three dimensions

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Quiz: The direction of a vector as an angle with the x-axis

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Practice: The magnitude of the sum of two vectors

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Practice: A vector of stated magnitude in a given direction

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

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

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Quiz: The vector equation of the line through two given points

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Practice: Deciding whether a point lies on a given line

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Spot My Mistake: The equilibrium condition written in vector form

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Quiz: The argument of a complex number

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Practice: The argument of a complex number in the second or third quadrant

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Quiz: Writing a complex number in polar form

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Practice: Converting a complex number from polar form back to a plus bi

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Spot My Mistake: Deriving a multiple angle formula from de Moivre's theorem

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Spot My Mistake: Classifying a stationary point by the second derivative

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Spot My Mistake: Finding the constant of integration from a given point

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Quiz: Using the initial conditions to fix the constants in a kinematics problem

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Quiz: A rate of change problem about a vessel filling with water

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Quiz: Choosing which equation of motion to use

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Practice: A body thrown vertically upwards

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