Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "The inverse of a 2 by 2 matrix with a fractional determinant"
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 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 allWorked example: proving a statement is a tautology
Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to
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 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 allWorked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
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 allWorked example: cyclic permutation around a table
Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number
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 allGive me practice on permutations and combinations
Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an
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
Subscribe to unlock allSpot my mistake in a permutation problem
Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used
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 allWorked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
Subscribe to unlock allQuiz me on finding specific terms in expansions
Act as my SS2 Further Maths tutor. Quiz me with three binomial expansions and ask me to fi
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
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