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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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61 prompts matching "logic"

Teach me what a tautology is

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

Teach me how to determine the validity of an argument

Act as my SS2 Further Maths tutor. Teach me how to determine whether a logical argument is

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

Quiz me on argument validity

Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre

Give me practice testing argument validity

Act as my SS2 Further Maths tutor. Give me five logical arguments and ask me to test each

Spot my mistake testing an argument

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

Explain argument validity back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi

Teach me the universal and existential quantifiers

Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie

Give me a full mixed revision test

Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co

Give me a Week 11 revision checklist

Act as my SS2 Further Maths tutor. Based on my Further Mathematics scheme of work covering

Worked example: construct the truth table for (p AND q) OR (NOT p)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Prove command word: line does not intersect a curve

I am in SS 2. Give me a 'prove that' style question where I must show a given line never m

Show that command word: negation of a compound statement

Set me a 'show that' logic question where I must write the negation of a given compound st

Structured question: construct a full truth table

Give me a structured question asking me to construct the complete truth table for a compou

Structured question: converse, inverse, and contrapositive together

I am in SS 3. Set me a structured question where, for one given conditional statement, I m

Show that command word: biconditional equivalence

I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo

Determine command word: validity of an argument

I am in SS 3. Give me an exam question phrased 'determine whether the following argument i

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