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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 "A word problem giving one linear and one quadratic equation"

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Common Mistakes: The range of values of x for which an expression stays positive

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Worked Example: The number of arrangements of n different objects in a row

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Practice: Arrangements when some of the objects are identical

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WAEC Prep: Circular permutations of n objects round a table

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Common Mistakes: Arrangements restricted at the first or the last place

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Practice: The compound angle formula for cosine of A minus B

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WAEC Prep: The three forms of the double angle formula for cosine

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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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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Practice: The effect of a in y equals a sin x

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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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Worked Example: The midpoint formula applied to a given segment

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WAEC Prep: Proving two given lines parallel from their gradients

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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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WAEC Prep: The length of the tangent from an external point

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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 parametric form of a point on a parabola

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Show All Working: The rectangular hyperbola xy equals c squared

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