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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,252 prompts matching "Multi-part index exam question with a real context"

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

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

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

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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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Practice: A uniform beam resting on two supports

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Common Mistakes: The centre of gravity of a uniform lamina

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

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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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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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Practice: A car rounding a bend on a level road

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Common Mistakes: The condition for a body to complete a vertical circle

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Practice: The maximum speed and the maximum acceleration in simple harmonic motion

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Common Mistakes: The energy of a body in simple harmonic motion

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Practice: The difference between an elastic string and a spring in compression

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Spot my mistake: Assuming AB and BA give the same matrix

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

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Spot my mistake: Treating the kilogram and the kilogram weight as the same unit

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