Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →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
Subscribe to unlock allTeach 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
Subscribe to unlock allWorked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Subscribe to unlock allQuiz me on argument validity
Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre
Subscribe to unlock allGive me practice testing argument validity
Act as my SS2 Further Maths tutor. Give me five logical arguments and ask me to test each
Subscribe to unlock allSpot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth
Subscribe to unlock allExplain 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
Subscribe to unlock allTeach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Subscribe to unlock allGive me a full mixed revision test
Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co
Subscribe to unlock allGive me a Week 11 revision checklist
Act as my SS2 Further Maths tutor. Based on my Further Mathematics scheme of work covering
Subscribe to unlock allWorked 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
Subscribe to unlock allWorked 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
Subscribe to unlock allWorked 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
Subscribe to unlock allWorked 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
Subscribe to unlock allProve 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
Subscribe to unlock allShow 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
Subscribe to unlock allStructured question: construct a full truth table
Give me a structured question asking me to construct the complete truth table for a compou
Subscribe to unlock allStructured question: converse, inverse, and contrapositive together
I am in SS 3. Set me a structured question where, for one given conditional statement, I m
Subscribe to unlock allShow that command word: biconditional equivalence
I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo
Subscribe to unlock allDetermine command word: validity of an argument
I am in SS 3. Give me an exam question phrased 'determine whether the following argument i
Subscribe to unlock all