Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →823 prompts matching "Showing a set is not closed by a single counter-example"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Give me practice constructing truth tables
Act as my SS2 Further Maths tutor. Give me five compound statements combining negation, co
Subscribe to unlock allWorked example: truth table for a compound statement
Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth
Subscribe to unlock allExplain 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
Subscribe to unlock allWorked example: converse and inverse of a statement
Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a
Subscribe to unlock allQuiz me on converse and inverse
Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as
Subscribe to unlock allTeach me biconditional propositions
Act as my SS2 Further Maths tutor. Teach me what a biconditional proposition is, using the
Subscribe to unlock allTeach me logically equivalent propositions
Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit
Subscribe to unlock allWorked 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 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 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 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 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 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 predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
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Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical
Subscribe to unlock allTeach me arranging objects round a circle
You are my SS2 Further Mathematics tutor. Teach me arranging objects round a circle, in cl
Subscribe to unlock allExplain permutations and combinations back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between per
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