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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,281 prompts matching "Index law shortcuts for mental exam questions"

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

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Spot My Mistake: The general form ax plus by plus c equals nought

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Worked Example: The equation of a circle with a given centre and radius

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

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

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Learn: The moment of a force about a point, and its units

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Quiz: The principle of moments for a body in equilibrium

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

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Worked Example: The common acceleration of two connected particles

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Final Revision: The distance connected particles travel before one reaches the floor

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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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Spot My Mistake: The least force needed to move a body up a rough incline

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

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Quiz: The centripetal force, and what supplies it in a given situation

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