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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 "Quiz me on the testing two statements for logical equivalence"

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Explain Back: Arrangements in which two particular objects must stay together

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Show All Working: The half angle formulae and the t-substitution

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Practice: Solving an equation of the form sin of 2x equals a given value

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Worked Example: The midpoint formula applied to a given segment

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Explain Back: The equation of the line through two given points

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Common Mistakes: The angle between two lines found from their gradients

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Practice: The equation of a circle on a given diameter

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Common Mistakes: The condition for a line to be a tangent to a circle

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Practice: The mean deviation from the mean

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Learn: The moment of a force about a point, and its units

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Common Mistakes: The centre of gravity of a uniform lamina

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Final Revision: A ladder leaning against a wall, and the moments acting on it

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Worked Example: The common acceleration of two connected particles

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Final Revision: The distance connected particles travel before one reaches the floor

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Practice: The frictional force on a body on a rough incline

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Common Mistakes: The condition for a body to complete a vertical circle

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Spot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant

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Spot my mistake: Assuming moments may only be taken about the pivot and never about another point

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