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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Test me under exam conditions on permutations and combinations"

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

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Worked Example: Forming the determinant Dy by replacing the second column

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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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