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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,300 prompts matching "Index laws with an unknown letter base"

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Worked Example: The midpoint formula applied to a given segment

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Show All Working: Proving two given lines perpendicular from their gradients

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Practice: The equation of a circle on a given diameter

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

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

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

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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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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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Practice: The frictional force on a body on a rough 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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Show All Working: A mass on a spring performing simple harmonic motion

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

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Worked Example: The tension in a stretched elastic string

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