Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "The sum and product of a pair of complex roots"
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 what a proposition is
Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an
Subscribe to unlock allQuiz 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
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 allSpot my mistake in a truth table
Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu
Subscribe to unlock allSpot my mistake forming a converse
Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement
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 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 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 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 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 predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Subscribe to unlock allSpot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Subscribe to unlock allGive me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be
Subscribe to unlock allSpot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Subscribe to unlock allTeach me approximating powers using binomial expansion
Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate
Subscribe to unlock allWorked example: evaluating a power using binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp
Subscribe to unlock allSpot my mistake finding a specific term
Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e
Subscribe to unlock allWorked example: simplifying an expression with fractional indices
Act as my SS2 Further Maths tutor. Show me a full worked example of simplifying an express
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