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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 "The dot product of a vector with itself"

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Solve x^2 + 5x + 6 = 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 - 7x + 12 = 0 by factorisation

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Solve 2x^2 + 7x + 3 = 0 by factorisation

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Solve x^2 - 3x - 10 = 0 by factorisation

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

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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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Quiz me: solving quadratics by factorisation

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations to solve by facto

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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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Why simultaneous linear-quadratic systems can have two solutions

Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi

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Worked example: subtracting two polynomials

Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno

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Quiz me on polynomial division by a quadratic divisor

Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di

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Teach me converse and inverse propositions

Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a

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Give me practice on converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me six conditional statements and ask me to form a

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Quiz me on biconditional statements

Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each

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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 logical argument is

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

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Worked example: testing an argument for validity

Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic

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Teach me predicate logic basics

Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what

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