Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "Roots equal in magnitude but opposite in sign"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show that command word: line is tangent to a circle
I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry
Subscribe to unlock allShow that command word: binomial coefficient identity
I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi
Subscribe to unlock allShow that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Subscribe to unlock allFind the range of values command word: increasing function
I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the
Subscribe to unlock allStructured question: choosing a committee with a condition
I am in SS 3. Set me a structured combinations question where a committee must be chosen f
Subscribe to unlock allExplain back: difference between permutations and combinations
I am in SS 3. Let me explain in my own words why order matters for permutations but not fo
Subscribe to unlock allStructured question: binomial expansion with a negative term
I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking
Subscribe to unlock allGive me an exam formula sheet for sum and product of roots
I am in SS 3. Build me a short formula sheet covering every formula I need for sum and pro
Subscribe to unlock allGive me a past-paper style question bank for sum and product of roots
I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran
Subscribe to unlock allWorked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
Subscribe to unlock allStructured question: quadratic with roots that differ by a given amount
I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe
Subscribe to unlock allStructured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
Subscribe to unlock allStructured question: cubic equation from three given roots
I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ
Subscribe to unlock allStructured question: quadratic formula question with a negative discriminant
I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati
Subscribe to unlock allNon-calculator paper: exact value question on sum and product of roots
I am in SS 3. Give me a non-calculator sum and product of roots question where the final a
Subscribe to unlock allLearn: The distributive law for a scalar over a sum of matrices
You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca
Subscribe to unlock allSpot My Mistake: Orders that make a product possible one way round but not the other
Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos
Subscribe to unlock allSpot My Mistake: A symmetric matrix, equal to its own transpose
Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i
Subscribe to unlock allWAEC Prep: Why the cofactor signs alternate
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why the cofactor s
Subscribe to unlock allWAEC Prep: The resultant of two equal forces at sixty degrees
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the resultant of t
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