Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "Completing a Cayley table for an operation on a small set"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain complex numbers back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what a complex number is a
Subscribe to unlock allWorked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allTeach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Subscribe to unlock allTeach me the stating the remainder theorem
You are my SS2 Further Mathematics tutor. Teach me stating the remainder theorem, in clear
Subscribe to unlock allTeach me the stating the factor theorem
You are my SS2 Further Mathematics tutor. Teach me stating the factor theorem, in clear st
Subscribe to unlock allTeach me compound statement symbols
Act as my SS2 Further Maths tutor. Teach me the standard symbols used for compound stateme
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 allSpot my mistake identifying a tautology
Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau
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 allExplain the binomial theorem back to me
Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to
Subscribe to unlock allTeach me the laws of indices at Further Maths level
Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu
Subscribe to unlock allTeach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Subscribe to unlock allTeach me the finding the modulus of a complex number
You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number
Subscribe to unlock allWorked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: find the gradient of y = x^3 - 4x at the point where x = 2
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allGive me a 5-minute recap of the remainder theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the remainder theorem
Subscribe to unlock allGive me a 5-minute recap of the factor theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the factor theorem, c
Subscribe to unlock allGive me a 5-minute recap of tautologies
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of tautologies, covering
Subscribe to unlock allGive me a 5-minute recap of argument validity
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of argument validity, co
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