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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,117 prompts matching "word problem leading to a quadratic"

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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Quiz: The factor theorem, and testing whether x minus a is a factor

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Practice: Factorising a cubic completely once one factor is known

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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WAEC Prep: Sketching a cubic from its factorised form

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Show All Working: Solving a cubic equation by factorisation

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Practice: Solving an inequality with the unknown in the denominator

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Learn: The meaning of n factorial, and how to evaluate it

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Show All Working: Arrangements of the letters of a given word

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Learn: The meaning of n choose r, and how to evaluate it

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Quiz: The tangent curve and its asymptotes

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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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Final Revision: The perpendicular distance from a point to a line

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Spot My Mistake: The equation of the tangent to a circle at a point on it

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

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Quiz: The equation of the tangent to a parabola

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WAEC Prep: The hyperbola in standard form, and its asymptotes

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Show All Working: The effect on the standard deviation of adding a constant to every value

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Learn: The velocity of one body relative to another

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