Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →416 prompts matching "Squaring both sides safely when solving a surd equation"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
WAEC exam question: remainder theorem with two conditions
I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno
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 allStructured question: geometric progression with two given terms
I am in SS 3. Give me a structured geometric progression question where two non-consecutiv
Subscribe to unlock allShow that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Subscribe to unlock allSolve log2(x+1) + log2(x-1) = 3 with full working
I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e
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 allGive me a past-paper style question bank for quadratic inequalities
I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie
Subscribe to unlock allWorked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and
Subscribe to unlock allStructured question: polynomial with a given remainder pattern
I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind
Subscribe to unlock allStructured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
Subscribe to unlock allQuiz me on choosing the correct method for a quadratic
I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor
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 allEvaluating a function at a given value
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allEvaluating a function at a negative value
I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(
Subscribe to unlock allEvaluating a function at an algebraic input
I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at
Subscribe to unlock allRange of a simple function from its graph or values
I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si
Subscribe to unlock allShowing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
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