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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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909 prompts matching "A question whose wording hides which distribution is meant"

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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Quiz: Factorising a difference of two squares in order to solve it

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Practice: Factorising a quadratic with a common factor taken out first

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

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Common Mistakes: Writing down the roots once the brackets are found

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Final Revision: A word problem solved by factorising a quadratic

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Common Mistakes: Checking a completed square by expanding it again

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Spot My Mistake: What the formula gives when the discriminant is nought

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WAEC Prep: What the formula gives when the discriminant is negative

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Common Mistakes: A sign error in the formula, and how to catch it

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Explain Back: Finding a missing coefficient from a stated sum of roots

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Spot My Mistake: Finding a missing coefficient from a stated product of roots

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Common Mistakes: Roots that are reciprocals of one another

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Common Mistakes: A symmetric function needing the sum and product twice over

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Common Mistakes: A word problem giving one linear and one quadratic equation

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Worked Example: The discriminant used as the test for intersection

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Common Mistakes: Multiplying one polynomial by another

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Learn: Setting out the division of a cubic by a linear expression

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Worked Example: The division algorithm for polynomials

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