Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "Restricting the domain so an inverse exists"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
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
Subscribe to unlock allQuiz me on biconditional statements
Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each
Subscribe to unlock allGive me practice on logical equivalence
Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me
Subscribe to unlock allSpot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Subscribe to unlock allTeach 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 conditionals versus tautologies
Act as my SS2 Further Maths tutor. Teach me the difference between a conditional statement
Subscribe to unlock allQuiz me on tautologies
Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t
Subscribe to unlock allGive me practice identifying tautologies
Act as my SS2 Further Maths tutor. Give me six compound propositions and ask me to constru
Subscribe to unlock allExplain tautologies back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what makes a compound stat
Subscribe to unlock allTeach me what a logical argument is
Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo
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 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 allWAEC question on logical arguments
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question that
Subscribe to unlock allQuiz me on predicate logic statements
Act as my SS2 Further Maths tutor. Quiz me by giving me statements written in everyday lan
Subscribe to unlock allGive me practice with predicate logic
Act as my SS2 Further Maths tutor. Give me five practice problems that require translating
Subscribe to unlock allExplain predicate logic back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between pro
Subscribe to unlock allTeach me combinations
Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from
Subscribe to unlock allQuiz me on combinations where one member must be included
Act as my SS2 Further Maths tutor. Quiz me with five combination problems, mixing straight
Subscribe to unlock allWhen to use permutations versus combinations
Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh
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