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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Find the range of x for which y = x^3 - 3x is increasing"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Discriminant classification exam question

I am in SS 2. Give me a short structured question where I must use the discriminant to sta

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

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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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Final Revision: A word problem solved by factorising a quadratic

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

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Practice: Working through a quadratic by completing the square, step by step

Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug

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Common Mistakes: Checking a completed square by expanding it again

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che

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Practice: Giving the roots correct to two decimal places

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

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Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w

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Spot My Mistake: A division that leaves a linear remainder

Act as my SS2 Further Mathematics tutor. Work a question on a division that leaves a linea

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Practice: The remainder on dividing by 2x minus 1

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

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Quiz: Which values are worth testing as factors

Act as my SS2 Further Mathematics tutor and quiz me on which values are worth testing as f

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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

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Quiz: Factorising a polynomial by grouping terms

Act as my SS2 Further Mathematics tutor and quiz me on factorising a polynomial by groupin

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Common Mistakes: Factorising fully, and knowing when to stop

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on fac

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Final Revision: Checking a factorisation by expanding it again

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

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