Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,305 prompts matching "Solving a surd equation that gives an extraneous root"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Structured 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 allExplain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Subscribe to unlock allSolve a three coplanar forces in equilibrium problem #1
I am in SS 3. Give me a problem involving three forces of 8N, 10N and 12N acting at a poin
Subscribe to unlock allSolve a three coplanar forces in equilibrium problem #2
I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two
Subscribe to unlock allSolve a three coplanar forces in equilibrium problem #3
I am in SS 3. Give me a problem involving a particle held in equilibrium by three forces a
Subscribe to unlock allVerifying an inverse function is correct
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on veri
Subscribe to unlock allNon-calculator paper: simplify an index expression
I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify
Subscribe to unlock allCambridge-style question: change of base formula
I am in SS 3. Give me an Additional Maths question requiring the change of base formula to
Subscribe to unlock allStructured question: equation of a line through two points
I am in SS 3. Give me a structured question where I find the equation of a straight line t
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 allWAEC exam question: mixed AP and GP problem
I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet
Subscribe to unlock allStructured question: find the equation of a normal to a curve
I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe
Subscribe to unlock allWAEC exam question: testing an argument with a truth table
I am in SS 3. Give me a WAEC Further Maths exam question with a two-premise argument, and
Subscribe to unlock allShow all your working command word: permutation problem
I am in SS 3. Give me a permutation exam question that instructs 'show all your working',
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 allWAEC exam question: two unknowns from remainder and factor conditions
I am in SS 3. Give me a WAEC-style polynomial question where a cubic has two unknown coeff
Subscribe to unlock allStructured question: line through (1,4) and (5,-2)
I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and
Subscribe to unlock allFind the centre and radius from x^2+y^2-6x+8y-11=0
I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski
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 allProve that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
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