Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,045 prompts matching "The position of a point in space written as a vector"
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 surds
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on su
Subscribe to unlock allWorked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Subscribe to unlock allWorked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
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 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 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 allLearn: What makes an expression a polynomial
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol
Subscribe to unlock allLearn: How many rows a truth table needs
You are my personal SS2 Further Mathematics tutor. Teach me how many rows a truth table ne
Subscribe to unlock allLearn: What a tautology is
You are my personal SS2 Further Mathematics tutor. Teach me what a tautology is from the b
Subscribe to unlock allLearn: What makes an argument valid
You are my personal SS2 Further Mathematics tutor. Teach me what makes an argument valid f
Subscribe to unlock allLearn: What makes a permutation cyclic
You are my personal SS2 Further Mathematics tutor. Teach me what makes a permutation cycli
Subscribe to unlock allIGCSE Additional Maths Y11: A composite region built from a rectangle and a sector — Common Mistakes
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca
Subscribe to unlock allIGCSE Additional Maths Y11: An approximate percentage change — Common Mistakes
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca
Subscribe to unlock allIGCSE Additional Maths Y11: What to do when a question cannot be started — Common Mistakes
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca
Subscribe to unlock allFactorise x^2 + 5x + 6
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Subscribe to unlock allFactorise x^2 - 7x + 12
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Subscribe to unlock allFactorise x^2 + 2x - 15
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Subscribe to unlock allFactorise 2x^2 + 7x + 3
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^
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