Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,105 prompts matching "IGCSE Additional Maths Y10: Showing that three points are collinear — IGCSE Exam"
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: equation of a circle from centre and a point
I am in SS 3. Set me a structured question where I am given the centre of a circle and a p
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: trigonometric identity
I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear
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: find and classify all stationary points
I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta
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 allShow that command word: biconditional equivalence
I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo
Subscribe to unlock allShow that command word: Pascal's triangle row sums to a power of 2
I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries
Subscribe to unlock allStructured question: three-part algebra question mixing methods
I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati
Subscribe to unlock allStructured question: three linked function sub-questions
I am in SS 3. Give me a structured question with three parts on the same pair of functions
Subscribe to unlock allShow that command word: a function is its own inverse
I am in SS 3. Set me a 'show that' function question where I must show a given function is
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 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
Subscribe to unlock allProve that tanx + 1/tanx = 1/(sinx cosx)
I am in SS 3. Give me the 'prove that' identity tanx + 1/tanx = 1/(sinx cosx) as a structu
Subscribe to unlock allFind and classify the stationary points of y = x^3 - 6x^2 + 9x + 1
I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/
Subscribe to unlock allSpot my mistake: finding a stationary point
I am in SS 3. I will show you my working for finding and classifying a stationary point of
Subscribe to unlock allSimulate a WAEC Further Maths Section A objective test
I am in SS 3. Give me ten short objective-style Further Maths questions covering a mix of
Subscribe to unlock allSimulate a WAEC Further Maths Section B theory question
I am in SS 3. Give me one long theory-style Further Maths question, similar to the Section
Subscribe to unlock allStructured question: AP and GP sharing the same first three terms
I am in SS 3. Give me a structured question describing a sequence whose first three given
Subscribe to unlock allStructured question: stationary point on a curve with an unknown constant
I am in SS 3. Give me a structured differentiation question where a curve contains an unkn
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