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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,038 prompts matching "Structured question: find f^-1(x) and verify it"

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

Teach me the truth table for negation

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation

Teach me the truth table for conjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti

Teach me the truth table for disjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti

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 when a conjunction of three statements is true

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

Spot my mistake forming a converse

Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement

Worked example: proving two statements are logically equivalent

Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo

Give me practice on logical equivalence

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

Teach me what a tautology is

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

Quiz me on tautologies

Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t

Give me practice identifying tautologies

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

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

Teach me what a logical argument is

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

Spot my mistake testing an argument

Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth

Teach me predicate logic basics

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

Quiz me on predicate logic statements

Act as my SS2 Further Maths tutor. Quiz me by giving me statements written in everyday lan

Explain predicate logic back to me

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

Teach me combinations

Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from

Worked example: arranging letters of a word

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

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