Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,044 prompts matching "Factorising a quadratic with a coefficient in front of x squared"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Test me under exam conditions on quadratic equations
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on qu
Subscribe to unlock allWorked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allWorked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Subscribe to unlock allStructured 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 allTimed practice: five quadratic equations by factorisation
I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor
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 allDeduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
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 allCambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
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 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 allFinal Revision: One root twice the other, and what that gives
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of o
Subscribe to unlock allLearn: What makes an expression in the roots symmetric
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression in th
Subscribe to unlock allSpot My Mistake: The value of alpha over beta plus beta over alpha
Act as my SS2 Further Mathematics tutor. Work a question on the value of alpha over beta p
Subscribe to unlock allFinal Revision: Checking both solutions in both equations
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Subscribe to unlock allFinal Revision: A word problem about a line and a parabola
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Subscribe to unlock allFinal Revision: A word problem that uses the remainder theorem
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
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