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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,305 prompts matching "Multi-part progression problem with an unknown first term"

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Worked Example: Evaluating a polynomial by substitution

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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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Worked Example: Solving a quadratic inequality by sketching the parabola

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

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Common Mistakes: Giving the general solution of a trigonometric equation

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

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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 midpoint formula applied to a given segment

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Show All Working: Proving two given lines perpendicular from their gradients

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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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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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Common Mistakes: The relative displacement of two bodies after a given time

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Common Mistakes: What becomes of the tension when the string goes slack

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