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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,029 prompts matching "Learn: Telling a rational number from an irrational one"

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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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

Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must

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Worked Example: Halving the coefficient of x and squaring it

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin

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

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi

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

Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th

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

I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur

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

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

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of u

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Worked Example: Substituting into the quadratic and tidying up

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Explain Back: Writing the answers as ordered pairs

I have just studied writing the answers as ordered pairs in my SS2 Further Mathematics cla

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Worked Example: The discriminant used as the test for intersection

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the di

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Practice: The condition for the line to be a tangent

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the condition

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

Act as my SS2 Further Mathematics tutor. Work a question on finding the values of c for wh

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

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Worked Example: The degree of a polynomial in one variable

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Explain Back: A division that leaves a constant remainder

I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat

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

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