Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,043 prompts matching "Structured question: permutation versus combination in one paper"
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: find the term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: find the coefficient of x^4 in the expansion of (1+3x)^7
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allWorked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
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 allReal-life application of completing the square
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple
Subscribe to unlock allReal-life application of the remainder theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the re
Subscribe to unlock allReal-life application of probability using combinatorics
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where probab
Subscribe to unlock allReal-life application of the binomial theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the bi
Subscribe to unlock allReal-life application of indices
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where indice
Subscribe to unlock allReal-life application of coordinate geometry
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where coordi
Subscribe to unlock allReal-life application of testing the validity of an argument
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin
Subscribe to unlock allReal-life application of the condition for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co
Subscribe to unlock allMark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Subscribe to unlock allTeach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Subscribe to unlock allSpot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether
Subscribe to unlock allGive me practice identifying compound propositions
Act as my SS2 Further Maths tutor. Give me eight sentences and ask me to classify each as
Subscribe to unlock allQuiz me on simplifying surds
Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che
Subscribe to unlock allGive me a full mixed revision test
Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co
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