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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "An element with no inverse under a given operation"

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Show All Working: Solving a cubic equation by factorisation

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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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Common Mistakes: Three roots in geometric progression in a cubic

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Practice: Choosing a committee that must contain one particular person

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Common Mistakes: Selections in which at least one of a kind must appear

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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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Explain Back: Solving a quadratic in sin x

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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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Practice: The effect of a in y equals a sin x

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Explain Back: The effect of b in y equals sin bx on the period

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Explain Back: Deciding whether a point lies inside, on or outside a circle

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Worked Example: The parametric form of a point on a parabola

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Common Mistakes: Identifying a conic from a general second-degree equation

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Common Mistakes: The coefficient of variation, for comparing two sets

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Practice: A uniform beam resting on two supports

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Explain Back: Finding the reaction at each support of a loaded beam

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Common Mistakes: The centre of gravity of a uniform lamina

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Worked Example: Relative velocity when two bodies move along the same line

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