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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,324 prompts matching "Distributivity on a set of three elements"

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Spot My Mistake: Orders that make a product possible one way round but not the other

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Practice: A diagonal matrix

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Practice: The condition on the orders for a product to exist

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Learn: Deciding whether a stated matrix calculation is possible at all

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Explain Back: Solving a matrix equation containing both a sum and a product

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Quiz: Finding an unknown entry from a stated matrix equation

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

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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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Quiz: Arranging the equations in standard form before applying Cramer's rule

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Quiz: Checking a 3 by 3 inverse by multiplication

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Explain Back: Solving two simultaneous equations by multiplying by the inverse

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Spot My Mistake: Why the inverse must be applied on the correct side

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Practice: What a singular coefficient matrix says about the equations

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Learn: Converting a weight given in kilogram-force into newtons

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Quiz: Recovering the original force from its two components

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Explain Back: The forces acting on a body hanging from two strings

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Practice: Why the forces must sum to nought in two perpendicular directions

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Practice: Finding an unknown force from a closed polygon

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Practice: Limiting friction, and the greatest value it can reach

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