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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 propositional logic"

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Worked Example: The discriminant, and what each of its three cases means

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Practice: The condition for a quadratic equation to have equal roots

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Worked Example: Finding one over alpha plus one over beta

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Final Revision: Checking a symmetric-function answer by solving the equation outright

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Worked Example: Evaluating a polynomial by substitution

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Show All Working: Three roots in arithmetic progression in a cubic

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Worked Example: The number of arrangements of n different objects in a row

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Worked Example: The difference between a permutation and a combination

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

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Show All Working: Reading the solutions of a trigonometric equation off a graph

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Worked Example: The midpoint formula applied to a given segment

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Worked Example: The equation of a circle with a given centre and radius

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

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WAEC Prep: The standard deviation of grouped data using an assumed mean

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

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Show All Working: The time at which two bodies are nearest one another

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Worked Example: The common acceleration of two connected particles

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