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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Checking that the roots found satisfy the original equation"

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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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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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Show All Working: A quadratic whose two roots are both negative

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

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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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Spot My Mistake: Finding a missing coefficient from a stated product of roots

Act as my SS2 Further Mathematics tutor. Work a question on finding a missing coefficient

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Show All Working: Roots equal in magnitude but opposite in sign

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

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Spot My Mistake: A pair with equal roots, meaning one solution only

Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani

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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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Show All Working: Factorising a polynomial with fractional roots

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

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Common Mistakes: A cubic equation arising from a volume problem

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

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Common Mistakes: A probability found by counting arrangements

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

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IGCSE Additional Maths Y11: An identity that involves a fraction — Spot My Mistake

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Work a question on an

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IGCSE Additional Maths Y11: Differentiating a quotient that contains ln x — Spot My Mistake

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Work a question on dif

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Give me practice solving quadratic equations

Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve by fa

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Explain the factorisation method back to me

Act as my SS2 Further Maths tutor. Let me explain to you, in my own words, how to solve a

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Give me practice on completing the square

Act as my SS2 Further Maths tutor. Give me eight practice questions on solving quadratic e

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Explain completing the square back to me

Act as my SS2 Further Maths tutor. I'll explain the completing the square method back to y

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Use the quadratic formula on 2x^2 - 3x - 5 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 - 3x - 5 = 0 usi

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Use the quadratic formula on x^2 + 4x - 7 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 4x - 7 = 0 usin

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