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Senior Secondary

Further Mathematics

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1,334 prompts matching "Test me under exam conditions on sequences and series"

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Learn: Solving two simultaneous equations by Cramer's rule

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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Practice: Comparing the inverse method with elimination for three equations

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Worked Example: Checking the solution of three equations by substitution

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Learn: Inertia, and what mass actually measures

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Worked Example: The weight of a body as mass times g

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Worked Example: The direction of the resultant of two forces

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Worked Example: Using the sine rule on the triangle of forces

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Worked Example: Drawing the polygon of forces to scale

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Spot My Mistake: The moment of a force whose line of action is not perpendicular

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Quiz: A rod resting against a wall, and the concurrence of its three forces

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Learn: The expectation of a discrete random variable

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Worked Example: Finding a particular term of a binomial expansion

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Worked Example: The probability of no events at all in a Poisson distribution

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Learn: The standard deviation of a binomial distribution

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Quiz: The standard deviation of a Poisson distribution

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Spot My Mistake: The proportion of a normal distribution within one, two and three standard deviations

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Worked Example: The continuity correction when approximating a discrete distribution

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