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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,051 prompts matching "Roots that are reciprocals of one another"

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Final Revision: Solving a disguised quadratic by substitution

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

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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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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

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Common Mistakes: Arrangements restricted at the first or the last place

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

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Final Revision: Combinations used with the addition and multiplication principles

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

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Learn: Solving sin x equals a given value between 0 and 360 degrees

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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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Final Revision: Losing solutions by dividing through by cos x

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

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Learn: The distance between two points

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

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

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Final Revision: The perpendicular distance from a point to a line

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

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

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Show All Working: Replacing two parallel forces by a single resultant

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