Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "The position vector of a point dividing a line in a ratio"
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: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic
Subscribe to unlock allSum and product of roots of a cubic equation
Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o
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 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 allExplain converse and inverse back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th
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 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 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 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 the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Subscribe to unlock allWorked example: applying predicate logic to solve a problem
Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical
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 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 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 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 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 allGive me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be
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