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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 "A truth table with three propositions in it"

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

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

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Explain Back: The units of a moment, and why they are newton metres

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Practice: Resolving three forces in two perpendicular directions

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

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Explain Back: The binomial probability formula

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Practice: The probability of exactly r events in a Poisson distribution

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

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Worked Example: Finding a value from a given probability by working backwards

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Practice: Using the normal tables when the z-score is negative

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Worked Example: The continuity correction when approximating a discrete distribution

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Worked Example: The distance between two points in three dimensions

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Worked Example: Finding the unit vector in the direction of a given vector

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Practice: A vector of stated magnitude in a given direction

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Worked Example: The position vector of the midpoint of AB

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Practice: The dot product as the magnitudes times the cosine of the angle

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Worked Example: Testing two vectors for perpendicularity

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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Explain Back: The constant of integration, and why it appears

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Practice: The sum to infinity of a convergent geometric series

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