Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "Identity and inverse together, and what they give the set"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Express x^2 + 5x + 1 in completed-square form
I am in SS 3. Set me the expression x^2 + 5x + 1 as a Cambridge-style 'express in the form
Subscribe to unlock allExpress 2x^2 - 8x + 3 in completed-square form
I am in SS 3. Set me the expression 2x^2 - 8x + 3 as a Cambridge-style 'express in the for
Subscribe to unlock allExpress x^2 - 9x + 4 in completed-square form
I am in SS 3. Set me the expression x^2 - 9x + 4 as a Cambridge-style 'express in the form
Subscribe to unlock allStructured question: fully factorise x^3 - 2x^2 - 5x + 6
I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest
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 allEvaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
Subscribe to unlock allSpot my mistake: forming a quadratic equation from its roots
Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f
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: geometric progression sum to infinity
I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v
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: 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 allStructured word problem: fencing a rectangular garden
I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria
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: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Subscribe to unlock allStructured question: logarithmic equation reducing to a quadratic
I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x
Subscribe to unlock allStructured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
Subscribe to unlock allStructured question: quadratic word problem about a thrown ball
I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro
Subscribe to unlock allStructured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
Subscribe to unlock allStructured question: binomial expansion used for a probability estimate
I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a
Subscribe to unlock allExplain back: quadratic inequality solution notation
I am in SS 3. Let me explain in my own words how to correctly write the solution set of a
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