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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: use binomial expansion to approximate a value"

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

Quiz me on line and curve intersection conditions

Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and

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Spot my mistake finding a tangent condition

Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w

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Teach me what a polynomial is

Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term

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Worked example: adding two polynomials

Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials

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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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Spot my mistake adding polynomials

Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch

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Teach me long division of polynomials

Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of

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Worked example: dividing a cubic by a linear polynomial

Act as my SS2 Further Maths tutor. Show me a complete worked example of dividing a cubic p

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Spot my mistake in polynomial long division

Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long

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Divide a polynomial by a quadratic

Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de

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Worked example: solving x^3-6x^2+11x-6=0

Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic

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Quiz me on solving cubic equations

Act as my SS2 Further Maths tutor. Quiz me with three cubic equations to solve completely,

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Give me practice solving cubic equations

Act as my SS2 Further Maths tutor. Give me six practice cubic equations to solve completel

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Spot my mistake solving a cubic equation

Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I 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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Give me practice identifying compound propositions

Act as my SS2 Further Maths tutor. Give me eight sentences and ask me to classify each as

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Give me practice constructing truth tables

Act as my SS2 Further Maths tutor. Give me five compound statements combining negation, co

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Worked example: truth table for a compound statement

Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth

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Spot my mistake in a truth table

Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu

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