Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "How long the inverse of a 3 by 3 matrix takes, and how to shorten it"
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 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 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 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 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 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 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 allTeach me probability using permutations and combinations
Act as my SS2 Further Maths tutor. Teach me how to solve probability problems using permut
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 allExplain coordinate geometry back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to find the equation o
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Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri
Subscribe to unlock allWorked example: finding a term in an arithmetic progression
Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter
Subscribe to unlock allWorked example: finding and classifying a stationary point
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the stationary
Subscribe to unlock allTeach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Subscribe to unlock allWorked example: solving a quadratic with complex roots
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq
Subscribe to unlock allWorked example: plotting a complex number on an Argand diagram
Act as my SS2 Further Maths tutor. Show me a full worked example of plotting a complex num
Subscribe to unlock allGive me practice on matrices
Act as my SS2 Further Maths tutor. Give me six practice questions on matrix operations, de
Subscribe to unlock allTeach me adding and subtracting vectors
Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum
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