Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,329 prompts matching "Learn: Making the coefficient of x squared equal to one first"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
One-to-one versus many-to-one functions
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on the
Subscribe to unlock allRestricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Subscribe to unlock allFunction machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Subscribe to unlock allComparing two functions to see which grows faster
I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of
Subscribe to unlock allWAEC 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 allShow that command word: laws of indices
I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr
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 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 allShow 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: sum of an arithmetic progression
I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n
Subscribe to unlock allStructured question: use binomial expansion to approximate a value
I am in SS 3. Give me a structured question where I expand a binomial expression and then
Subscribe to unlock allTimed 20-minute Further Maths exam practice
I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering
Subscribe to unlock allStructured question: use Pascal's triangle to expand a binomial
I am in SS 3. Give me a structured question where I must write out the relevant row of Pas
Subscribe to unlock allStructured question: fully factorise x^3 - 2x^2 - 5x + 6
I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest
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 allEvaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
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 allGive me an exam formula sheet for quadratic factorisation
I am in SS 3. Build me a short formula sheet covering every formula I need for factorising
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