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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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993 prompts matching "Structured question: divide a cubic and state quotient and remainder"

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

Spot my mistake adding polynomials

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

Explain polynomial addition back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to add and subtract po

Teach me long division of polynomials

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

Give me practice on polynomial long division

Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials

Explain polynomial long division back to me

Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back

Give me practice factorising polynomials with the factor theorem

Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t

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

Teach me what a proposition is

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

Quiz me on identifying propositions

Act as my SS2 Further Maths tutor. Quiz me by giving me five sentences and asking me to id

Give me practice identifying compound propositions

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

Explain propositions back to me

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

Quiz me on why negation reverses every truth value

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

Quiz me on the inclusive sense of 'or' in a disjunction

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

Explain truth tables back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to build a truth table

Teach me biconditional propositions

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

Give me practice on logical equivalence

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

Spot my mistake testing logical equivalence

Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test

Give me practice identifying tautologies

Act as my SS2 Further Maths tutor. Give me six compound propositions and ask me to constru

Teach me what a logical argument is

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

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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