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Senior Secondary

Further Mathematics

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1,324 prompts matching "Closure on a set of three elements under a stated rule"

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

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

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

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Learn: The angle between a vector and one of the axes

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

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Quiz: The product of a complex number and its conjugate

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Practice: The sum of a complex number and its conjugate

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

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Practice: The addition of complex numbers shown on an Argand diagram

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

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

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Learn: Connected rates of change through the chain rule

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Quiz: Choosing which equation of motion to use

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Practice: The range of a projectile on level ground

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Practice: The conservation of momentum in a collision

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

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Spot My Mistake: The sum of the first n terms of an arithmetic progression

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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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