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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,026 prompts matching "Proving a surd statement is true or false"

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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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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Final Revision: A word problem solved by factorising a quadratic

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Explain Back: An answer left in surd form after completing the square

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Explain Back: Leaving the roots of a quadratic in surd form

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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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Show All Working: Choosing between factorising and the formula

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

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Show All Working: A simultaneous pair in which the second equation is a circle

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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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Spot My Mistake: Finding the values of c for which a line is a tangent

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Worked Example: The division algorithm for polynomials

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Show All Working: Synthetic division as a shorter route

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WAEC Prep: The remainder theorem checked against long division

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Common Mistakes: The remainder theorem applied to a quartic

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Worked Example: Testing a list of candidates to find a factor

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