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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,301 prompts matching "An arithmetic progression with a negative common difference"

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Worked Example: Evaluating a polynomial by substitution

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Practice: Factorising a cubic completely once one factor is known

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Show All Working: Solving a cubic equation by factorisation

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Practice: Finding the third root of a cubic when two are known

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Practice: Choosing a committee that must contain one particular person

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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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Show All Working: Reading the solutions of a trigonometric equation off a graph

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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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Practice: A uniform beam resting on two supports

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

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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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Show All Working: A mass on a spring performing simple harmonic motion

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