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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,246 prompts matching "Set theory laws: commutative and associative"

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

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Learn: Choosing the point about which to take moments

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Worked Example: Drawing the polygon of forces to scale

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Learn: What an unclosed polygon of forces tells you

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Practice: Finding an unknown force from a closed polygon

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Quiz: The coefficient of friction between two surfaces

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Spot My Mistake: Why friction does not depend on the area of contact

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

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Worked Example: The moment of a force about a point on its own line of action

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Worked Example: The total moment of three parallel forces about one end

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Learn: The algebraic sum of moments when the senses differ

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Spot My Mistake: Using concurrence to find the direction of an unknown third force

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Practice: Resolving three forces in two perpendicular directions

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Spot My Mistake: Finding two unknown tensions from three forces in equilibrium

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Worked Example: Matching each force to the sine of the angle opposite it

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Learn: Finding two unknown forces by Lami's theorem

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Spot My Mistake: Why the probabilities in a distribution must sum to one

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Worked Example: Finding a particular term of a binomial expansion

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Learn: Finding the coefficient of a stated power in an expansion

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Practice: Using a binomial expansion to approximate a number

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