Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,024 prompts matching "Structured question: intersection of a line and a circle"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Subscribe to unlock allNon-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
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 allFind the value of k: quadratic with equal roots
Set me an Additional Maths exam question of the type 'find the value of k for which the eq
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 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 allNon-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Subscribe to unlock allLearn: Factorising a quadratic whose coefficient of x squared is one
You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose
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 allLearn: Making the coefficient of x squared equal to one first
You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq
Subscribe to unlock allWAEC Prep: The minimum value of a quadratic found by completing the square
Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques
Subscribe to unlock allCommon Mistakes: Checking a completed square by expanding it again
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che
Subscribe to unlock allWorked Example: Substituting a, b and c into the quadratic formula correctly
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
Subscribe to unlock allQuiz: A negative value of b in the quadratic formula
Act as my SS2 Further Mathematics tutor and quiz me on a negative value of b in the quadra
Subscribe to unlock allCommon Mistakes: A sign error in the formula, and how to catch it
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s
Subscribe to unlock allLearn: The sum of the roots as minus b over a
You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus
Subscribe to unlock allWorked Example: The product of the roots as c over a
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the pr
Subscribe to unlock allSpot My Mistake: Finding a missing coefficient from a stated product of roots
Act as my SS2 Further Mathematics tutor. Work a question on finding a missing coefficient
Subscribe to unlock allCommon Mistakes: Roots that are reciprocals of one another
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on roo
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
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