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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 "Number of elements in a set from a Venn diagram region count"

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Show All Working: Finding a coefficient given a stated relation between the roots

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Show All Working: Solving a cubic equation by factorisation

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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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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Quiz: The product of the roots of a cubic

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

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Common Mistakes: Three roots in geometric progression in a cubic

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Common Mistakes: The range of values of x for which an expression stays positive

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Practice: Arrangements when some of the objects are identical

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WAEC Prep: Circular permutations of n objects round a table

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Show All Working: Counting the handshakes, or the lines joining n points

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

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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

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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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Quiz: The equation of the tangent to a parabola

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Show All Working: The rectangular hyperbola xy equals c squared

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