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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,329 prompts matching "IGCSE Additional Maths Y11: Giving an exact answer in terms of pi — Exam Techniq"

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Learn: The coordinates of a point in three dimensions

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Learn: The magnitude of a three-dimensional vector

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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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Practice: Deciding whether a point lies on a given line

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Worked Example: Squaring a complex number

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

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Learn: The cube roots of unity

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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: Differentiating a bracket raised to a power

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Learn: Differentiating sin of a multiple of x

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

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Learn: Integrating a polynomial term by term

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Learn: Finding displacement by integrating velocity

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Practice: A body thrown vertically upwards

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