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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,302 prompts matching "An operation that is associative but not commutative"

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Quiz: Writing a two-dimensional vector as a column

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Quiz: The direction cosines of a vector 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: Testing two vectors for perpendicularity

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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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Worked Example: Squaring a complex number

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Quiz: The argument of a complex number

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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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Practice: Why complex roots of a real quadratic come in conjugate pairs

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Practice: Differentiating x squared from first principles

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Worked Example: The quotient rule for differentiation

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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Quiz: Why the power rule fails for the integral of one over x

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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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