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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 "Structured question: the constant term in a binomial expansion"

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Solve 3x^2 - 5x - 2 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

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Solve x^2 - 6x + 9 = 0 by factorisation

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Solve 2x^2 - 11x + 5 = 0 by factorisation

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Solve x^2 + x - 12 = 0 by factorisation

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Build a quadratic equation from given roots

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Spot my mistake with sum and product of roots

Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5

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Give me practice on simultaneous equations

Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations

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WAEC-style simultaneous equation problem

Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics word problem that lea

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Teach me long division of polynomials

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Divide a polynomial by a quadratic

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Teach me how to solve cubic equations

Act as my SS2 Further Maths tutor. Teach me how to solve a cubic equation by first using t

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Sum and product of roots of a cubic equation

Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o

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Teach me what a proposition is

Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an

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Teach me compound statement symbols

Act as my SS2 Further Maths tutor. Teach me the standard symbols used for compound stateme

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Worked example: truth table for a compound statement

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Teach me biconditional propositions

Act as my SS2 Further Maths tutor. Teach me what a biconditional proposition is, using the

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Give me practice on logical equivalence

Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me

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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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Teach me conditionals versus tautologies

Act as my SS2 Further Maths tutor. Teach me the difference between a conditional statement

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Teach me what a logical argument is

Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo

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