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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,221 prompts matching "Finding a and b when a plus b root 2 equals a given surd"

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Common Mistakes: Giving the general solution of a trigonometric equation

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Final Revision: Losing solutions by dividing through by cos x

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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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Learn: The distance between two points

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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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Learn: The equation of a circle with its centre at the origin

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WAEC Prep: The length of the tangent from an external point

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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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Final Revision: The focus-directrix definition shared by all the conics

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Practice: The mean deviation from the mean

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

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Final Revision: Reading the quartiles off a cumulative frequency curve

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Practice: A uniform beam resting on two supports

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

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Common Mistakes: The centre of gravity of a uniform lamina

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Learn: The velocity of one body relative to another

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Practice: The triangle of velocities for a boat crossing a river

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