Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,331 prompts matching "Converting an answer back out of index form"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Finding the making x the subject of a fractional function
You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu
Subscribe to unlock allVerifying an inverse function is correct
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on veri
Subscribe to unlock allComposite function leading to solving an equation
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a qu
Subscribe to unlock allRestricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Subscribe to unlock allStructured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Subscribe to unlock allShow that command word: logarithm laws
I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit
Subscribe to unlock allStructured question: perpendicular bisector of a line segment
I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr
Subscribe to unlock allFind the equation command word: circle through the origin
I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th
Subscribe to unlock allSolve for command word: quadratic trigonometric equation
I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,
Subscribe to unlock allStructured question: use binomial expansion to approximate a value
I am in SS 3. Give me a structured question where I expand a binomial expression and then
Subscribe to unlock allFind the coefficient command word: binomial expansion
I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia
Subscribe to unlock allStructured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
Subscribe to unlock allShow that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Subscribe to unlock allStructured question: converse, inverse, and contrapositive together
I am in SS 3. Set me a structured question where, for one given conditional statement, I m
Subscribe to unlock allShow all your working command word: permutation problem
I am in SS 3. Give me a permutation exam question that instructs 'show all your working',
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 allWAEC exam question: solving f(x) = c for an unknown x
I am in SS 3. Give me a WAEC-style function question where I am given f(x) and a target ou
Subscribe to unlock allFind the tangent to y = x^2 - 4x + 7 at x = 3
I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie
Subscribe to unlock allSpot my mistake: checking each line of a trigonometric identity proof
I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f
Subscribe to unlock all