Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Quiz me on the sum and product of the roots of a cubic"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Spot my mistake: Treating the dot product of two vectors as another vector
Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product
Subscribe to unlock allSpot my mistake: Differentiating a product by multiplying the derivatives of its two factors
Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product
Subscribe to unlock allFinding the inverse of a simple linear function
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
Subscribe to unlock allFinding the making x the subject of a fractional function
You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu
Subscribe to unlock allDomain and range of an inverse function
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allGraphs of a function and its inverse as reflections
I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec
Subscribe to unlock allFinding f(x) given a description of the function rule
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allStructured question: perpendicular bisector of a line segment
I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr
Subscribe to unlock allStructured question: equation of a circle from centre and a point
I am in SS 3. Set me a structured question where I am given the centre of a circle and a p
Subscribe to unlock allFind the equation command word: circle through the origin
I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th
Subscribe to unlock allStructured question: intersection of a line and a circle
I am in SS 3. Give me a structured question where I substitute a line's equation into a ci
Subscribe to unlock allSolve for command word: quadratic trigonometric equation
I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,
Subscribe to unlock allFind the sum to infinity command word
I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric
Subscribe to unlock allFind the coefficient command word: binomial expansion
I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia
Subscribe to unlock allStructured question: find the equation of a tangent to a curve
I am in SS 3. Give me a structured question where I differentiate a curve's equation, find
Subscribe to unlock allStructured question: converse, inverse, and contrapositive together
I am in SS 3. Set me a structured question where, for one given conditional statement, I m
Subscribe to unlock allStructured question: perpendicular bisector of (2,1) and (-4,7)
I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi
Subscribe to unlock allGive me an exam formula sheet for trigonometric identities and equations
I am in SS 3. Build me a short formula sheet covering every formula I need for proving ide
Subscribe to unlock allGive me an exam formula sheet for permutations and combinations
I am in SS 3. Build me a short formula sheet covering every formula I need for permutation
Subscribe to unlock allGive me a past-paper style question bank for completing the square
I am in SS 3. Give me a bank of four exam-style questions on completing the square, rangin
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