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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Quiz: The value of one over alpha squared plus one over beta squared"

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Show All Working: The half angle formulae and the t-substitution

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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WAEC Prep: A phase shift in y equals sin of x minus d

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

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Learn: The distance between two points

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Worked Example: The midpoint formula applied to a given segment

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

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

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Common Mistakes: The angle between two lines found from their gradients

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Explain Back: Deciding whether a point lies inside, on or outside a circle

I have just studied deciding whether a point lies inside, on or outside a circle in my SS3

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

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Worked Example: The sign convention for clockwise and anticlockwise moments

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Spot My Mistake: The point at which a loaded beam will tip about its support

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

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Show All Working: A lift, and the person standing in it

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Learn: Resolving the weight along and perpendicular to an inclined plane

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

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

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Show All Working: The angle at which a body just begins to slide

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Show All Working: A body in a vertical circle, and the tension at the top

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