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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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756 prompts matching "Solving a cubic that must first be rearranged"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Quiz: Reading the wording of a question to decide which distribution applies

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Quiz: Writing a two-dimensional vector as a column

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

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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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Learn: The magnitude of a three-dimensional vector

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

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Learn: The unit vectors i, j and k

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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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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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Learn: Subtracting one vector from another

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

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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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