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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 "Structured question: quadratic formula with exact surd answer"

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

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Explain Back: The eccentricity of an ellipse

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

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Worked Example: The interquartile range of a set of ordered data

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Practice: The mean deviation from the mean

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Explain Back: The variance of an ungrouped set of data

I have just studied the variance of an ungrouped set of data in my SS3 Further Mathematics

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

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Practice: A uniform beam resting on two supports

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Explain Back: Finding the reaction at each support of a loaded beam

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Common Mistakes: The centre of gravity of a uniform lamina

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Worked Example: Relative velocity when two bodies move along the same line

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

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Explain Back: The course to steer so that a boat crosses straight over

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Common Mistakes: The relative displacement of two bodies after a given time

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Worked Example: The common acceleration of two connected particles

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Practice: A particle on a smooth table connected to a hanging particle

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Explain Back: A particle on a rough table connected to a hanging particle

I have just studied a particle on a rough table connected to a hanging particle in my SS3

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Common Mistakes: What becomes of the tension when the string goes slack

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Worked Example: The normal reaction on a body resting on a smooth incline

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