Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,215 prompts matching "IGCSE Additional Maths Y10: Showing that f of f inverse of x gives x back — Comm"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Structured question: use Pascal's triangle to expand a binomial
I am in SS 3. Give me a structured question where I must write out the relevant row of Pas
Subscribe to unlock allStructured question: binomial expansion with a negative term
I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking
Subscribe to unlock allWAEC exam question: full binomial expansion to a stated power
I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f
Subscribe to unlock allStructured question: unknown coefficient from a factor condition
I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a
Subscribe to unlock allSolve 2^(3x-1) = 16 with full working
I am in SS 3. Give me the exponential equation 2^(3x-1) = 16 as an Additional Maths style
Subscribe to unlock allWorked example: fully factorise x^3 - 7x + 6
I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely
Subscribe to unlock allWorked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Subscribe to unlock allWorked example: prove an argument invalid using a truth table
I am in SS 3. Show me a full worked example of testing a logical argument for validity usi
Subscribe to unlock allWorked example: seat 4 boys and 3 girls alternately in a row
I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and
Subscribe to unlock allBuild me a two-week countdown revision schedule
I am in SS 3. Build me a two-week countdown revision schedule covering all of the Further
Subscribe to unlock allStructured question: two quadratics sharing a common root
I am in SS 3. Give me a structured question where two quadratic equations are given and I
Subscribe to unlock allWAEC exam question: polynomial division real-world framing
I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi
Subscribe to unlock allExplain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Subscribe to unlock allGive me a mixed revision pack blending three topics
I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua
Subscribe to unlock allMultiply matrices step by step #1
Show me how to multiply A=[[2,1],[0,-3]], B=[[1,-2],[4,3]] using the row-times-column meth
Subscribe to unlock allMultiply matrices step by step #3
I am in SS 3. Show me how to multiply A=[[1,0,2],[3,1,-1],[2,-2,1]], B=[[2,1,0],[0,1,3],[-
Subscribe to unlock allMultiply matrices step by step #5
Show me how to multiply A=[[2,-1],[3,0]], B=[[1,4],[-2,5]] using the row-times-column meth
Subscribe to unlock allWhy is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
Subscribe to unlock allSpot my mistake in a matrix transpose
I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please
Subscribe to unlock allExplain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Subscribe to unlock all