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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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997 prompts matching "Structured question: rationalise and simplify a surd expression"

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Worked Example: Halving the coefficient of x and squaring it

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

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Common Mistakes: Checking a completed square by expanding it again

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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

I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem

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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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Quiz: Finding the sum and the product without solving the equation

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Practice: Forming an equation from a given sum and product

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WAEC Prep: Checking the sum and product against the solved roots

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

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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Show All Working: Forming an equation whose roots are three alpha and three beta

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

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

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Worked Example: Substituting into the quadratic and tidying up

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

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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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Quiz: The leading term and the constant term

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