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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 "Showing that fg(x) is not the same as gf(x)"

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IGCSE Additional Maths Y11: What a stationary point is — Teach Me

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Teach me what a statio

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Teach me quadratic trinomial factorisation

Act as my SS2 Further Maths tutor. Teach me the general method for factorising quadratic t

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Spot my mistake in factorising x^2+5x+6

Act as my SS2 Further Maths tutor. I tried to factorise x^2 + 5x + 6 as (x+1)(x+6) but I'm

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Teach me solving quadratic equations by factorisation

Act as my SS2 Further Maths tutor. Teach me the full method for solving a quadratic equati

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Quiz me on completing the square to find a turning point

Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve

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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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Find the value of k for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's

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Explain the difference between remainder and factor theorem

Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between the

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Teach me what a tautology is

Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi

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Spot my mistake identifying a tautology

Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau

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Worked example: expanding (2x-3)^5 using the binomial formula

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi

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Spot my mistake simplifying a surd

Act as my SS2 Further Maths tutor. I tried to simplify sqrt(50) but I'm not confident in m

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Summarise quadratic equations for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise propositional logic for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise permutations and combinations for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise complex numbers for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise matrices for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise vectors for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise coordinate geometry for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise trigonometric identities and equations for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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