Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Halving the coefficient of x and squaring it"
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: two compound statements compared row by row
I am in SS 3. Give me a structured question where I must build truth tables for two differ
Subscribe to unlock allStructured question: three-part algebra question mixing methods
I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati
Subscribe to unlock allStructured question: fully factorise x^3 + 4x^2 - 11x - 30
I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi
Subscribe to unlock allSimplify (8^(2/3) times 4^(-1/2)) fully
I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2
Subscribe to unlock allRationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
Subscribe to unlock allShow that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Subscribe to unlock allSpot my mistake: solving an exponential equation
I am in SS 3. I will show you my working for solving an exponential equation by matching b
Subscribe to unlock allSpot my mistake: finding a stationary point
I am in SS 3. I will show you my working for finding and classifying a stationary point of
Subscribe to unlock allStructured word problem: population growth as a geometric sequence
I am in SS 3. Set me a structured word problem where a town's population grows geometrical
Subscribe to unlock allStructured question: simplifying a surd raised to a fractional index
I am in SS 3. Give me a structured question simplifying an expression that combines a surd
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: Subtracting two 3 by 3 matrices
I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L
Subscribe to unlock allPractice: A 2 by 2 matrix multiplied by a column vector
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri
Subscribe to unlock allPractice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
Subscribe to unlock allPractice: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
Subscribe to unlock allPractice: Finding an unknown force from a closed polygon
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding an unk
Subscribe to unlock allPractice: Resolving three forces in two perpendicular directions
Act as my SS3 Further Mathematics tutor. Give me five practice questions on resolving thre
Subscribe to unlock allExplain Back: A particle hanging from two strings set at different angles
I have just studied a particle hanging from two strings set at different angles in my SS3
Subscribe to unlock allPractice: Using a binomial expansion to approximate a number
Act as my SS3 Further Mathematics tutor. Give me five practice questions on using a binomi
Subscribe to unlock allExplain Back: Converting a value to a z-score
I have just studied converting a value to a z-score in my SS3 Further Mathematics class. L
Subscribe to unlock all