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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,235 prompts matching "A tautology used to justify a rule of algebra"

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

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Quiz: Finding the centre and the radius from the general equation

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

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

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Practice: The ellipse in standard form, and its two axes

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Show All Working: The rectangular hyperbola xy equals c squared

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

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Quiz: The semi-interquartile range

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Practice: The mean deviation from the mean

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Practice: A uniform beam resting on two supports

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Spot My Mistake: The point at which a loaded beam will tip about its support

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

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Quiz: Relative velocity when the two motions are at right angles

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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track

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Show All Working: The time at which two bodies are nearest one another

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Learn: Two particles joined by a light inextensible string over a smooth pulley

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Quiz: The tension in the string joining two connected particles

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Show All Working: A lift, and the person standing in it

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Practice: The frictional force on a body on a rough incline

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Common Mistakes: The work done against friction on an incline

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