Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "Arrangements restricted at the first or the last place"
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: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked 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: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Subscribe to unlock allWorked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
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 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 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 vectors
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where vector
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 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 the binomial theorem
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of the binomial theorem,
Subscribe to unlock allGive me a 5-minute recap of coordinate geometry
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of coordinate geometry,
Subscribe to unlock allShow that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Subscribe to unlock allNon-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
Subscribe to unlock all