Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,330 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Simplify (8^(2/3) times 4^(-1/2)) fully
I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2
Subscribe to unlock allRationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
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 2sin(x) + 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the trigonometric equation 2sin(x)+1=0 to solve for all values of x
Subscribe to unlock allSolve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f
Subscribe to unlock allGive me an exam formula sheet for solving quadratics by factorisation
I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua
Subscribe to unlock allGive me an exam formula sheet for polynomial operations
I am in SS 3. Build me a short formula sheet covering every formula I need for adding, sub
Subscribe to unlock allGive me an exam formula sheet for functions
I am in SS 3. Build me a short formula sheet covering every formula I need for composite a
Subscribe to unlock allGive me an exam formula sheet for surds
I am in SS 3. Build me a short formula sheet covering every formula I need for simplifying
Subscribe to unlock allGive me an exam formula sheet for coordinate geometry
I am in SS 3. Build me a short formula sheet covering every formula I need for lines and c
Subscribe to unlock allGive me an exam formula sheet for propositional logic
I am in SS 3. Build me a short formula sheet covering every formula I need for proposition
Subscribe to unlock allGive me an exam formula sheet for differentiation basics
I am in SS 3. Build me a short formula sheet covering every formula I need for differentia
Subscribe to unlock allSpot my mistake: geometric progression sum to infinity
I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v
Subscribe to unlock allWorked example: find where the tangent to y = x^3 crosses the x-axis
I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a
Subscribe to unlock allDiagnose my weak topics using a short quiz
I am in SS 3. Give me one short question from each major topic covered so far in Further M
Subscribe to unlock allCheck whether my exam layout would satisfy a Cambridge examiner
I am in SS 3. I will show you my working for one exam-style question covered so far. Tell
Subscribe to unlock allGive me exam-technique advice for running out of time
I am in SS 3. Give me practical Additional Maths exam-technique advice for what to do if I
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 allHelp me interpret my own WAEC Further Maths past mistakes
I am in SS 3. I will describe a mistake I keep making on a particular type of Further Math
Subscribe to unlock allPractice: A 2 by 2 matrix multiplied by a column vector
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri
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