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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,035 prompts matching "A binary operation defined on a set of three elements"

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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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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Worked Example: Halving the coefficient of x and squaring it

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WAEC Prep: The minimum value of a quadratic found by completing the square

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Common Mistakes: Checking a completed square by expanding it again

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Final Revision: Why completing the square always works

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

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Final Revision: A word problem solved with the quadratic formula

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Worked Example: The product of the roots as c over a

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Final Revision: One root twice the other, and what that gives

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

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Final Revision: Using a symmetric function to find an unknown coefficient

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

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous

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

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Final Revision: Checking both solutions in both equations

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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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

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Final Revision: A word problem about a line and a parabola

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Common Mistakes: Multiplying one polynomial by another

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