Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,305 prompts matching "Surds that cannot be combined at all"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Composite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Subscribe to unlock allFinding the inverse of a simple linear function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
Subscribe to unlock allFinding 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 allDomain and range of an inverse function
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allGraphs of a function and its inverse as reflections
I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec
Subscribe to unlock allSelf-inverse functions
I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct
Subscribe to unlock allCambridge-style question: change of base formula
I am in SS 3. Give me an Additional Maths question requiring the change of base formula to
Subscribe to unlock allStructured question: prove a trigonometric identity
I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu
Subscribe to unlock allWAEC exam question: mixed AP and GP problem
I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet
Subscribe to unlock allStructured question: the constant term in a binomial expansion
You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi
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: 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 allQuiz me on logic symbols and their meanings
I am in SS 3. Quiz me by giving me logic symbols one at a time, such as negation, conjunct
Subscribe to unlock allExplain back: converse and contrapositive
I am in SS 3. Let me explain in my own words the difference between the converse, the inve
Subscribe to unlock allStructured question: arrangements with a restriction
I am in SS 3. Give me a structured permutations question where letters or people must be a
Subscribe to unlock allStructured question: choosing a committee with a condition
I am in SS 3. Set me a structured combinations question where a committee must be chosen f
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 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 allSolve 5^(x+2) = 125^(x-1) with full working
I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio
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
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