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Senior Secondary

Further Mathematics

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1,310 prompts matching "Practice: An operation that is not commutative, with a counter-example"

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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: 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 product of a complex number and its conjugate

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

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Quiz: The roots of a complex number shown on an Argand diagram

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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: Differentiating a bracket raised to a power

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

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

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Practice: A body thrown vertically upwards

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Quiz: Impulse as the change in momentum

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Quiz: Newton's third law, and identifying the pair of forces

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Spot My Mistake: Finding the common ratio from two given terms

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Practice: The sum to infinity of a convergent geometric series

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Quiz: The general term of a binomial expansion

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Quiz: The remainder theorem, and the remainder on dividing by x minus a

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