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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,245 prompts matching "Practice: Polynomial notation such as P of x"

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Common Mistakes: Three roots in geometric progression in a cubic

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Final Revision: Checking that the roots found satisfy the original equation

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

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Final Revision: Counting the number plates or codes that can be formed under a rule

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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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Learn: The Pythagorean identity, sin squared plus cos squared equals one

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

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Final Revision: Proving an identity by working on one side only

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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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Learn: The parabola y squared equals 4ax, with its focus and directrix

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Show All Working: The rectangular hyperbola xy equals c squared

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