Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "The rate at which the height of a liquid rises in a cone"
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: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Subscribe to unlock allExpress in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Subscribe to unlock allStructured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Subscribe to unlock allDiscriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Subscribe to unlock allCambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Subscribe to unlock allForm a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Subscribe to unlock allStructured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Subscribe to unlock allWAEC exam question: symmetric functions of roots
I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al
Subscribe to unlock allTeach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Subscribe to unlock allQuiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Subscribe to unlock allSpot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether
Subscribe to unlock allShow all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Subscribe to unlock allShow that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Subscribe to unlock allQuiz: Factorising a difference of two squares in order to solve it
Act as my SS2 Further Mathematics tutor and quiz me on factorising a difference of two squ
Subscribe to unlock allSpot My Mistake: Solving a quadratic that must be rearranged before factorising
Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must
Subscribe to unlock allCommon Mistakes: Writing down the roots once the brackets are found
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on wri
Subscribe to unlock allFinal Revision: A word problem solved by factorising a quadratic
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Subscribe to unlock allSpot My Mistake: Completing the square when the roots are not real
Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the
Subscribe to unlock allFinal Revision: Why completing the square always works
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w
Subscribe to unlock allCommon Mistakes: A symmetric function needing the sum and product twice over
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s
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