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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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Worked Example: The identities for one plus tan squared and one plus cot squared

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Worked Example: The shape, period and range of the cosine curve

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Worked Example: The midpoint formula applied to a given segment

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Practice: The equation of a line through a point with a given gradient

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

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

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Worked Example: The parametric form of a point on a parabola

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

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Worked Example: The sign convention for clockwise and anticlockwise moments

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

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

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

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Worked Example: The acceleration of a body moving round a circle at constant speed

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Worked Example: The amplitude, period and frequency of a simple harmonic motion

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Worked Example: The tension in a stretched elastic string

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Common Mistakes: A particle oscillating on the end of an elastic string

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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

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WAEC-style question on evaluating composite functions

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