Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,332 prompts matching "IGCSE Additional Maths Y11: The amplitude and period read off a sine graph — Wor"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve for command word: quadratic trigonometric equation
I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,
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 the equation of a tangent to a curve
I am in SS 3. Give me a structured question where I differentiate a curve's equation, find
Subscribe to unlock allShow that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
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 allDetermine command word: validity of an argument
I am in SS 3. Give me an exam question phrased 'determine whether the following argument i
Subscribe to unlock allExplain back: converse and contrapositive
I am in SS 3. Let me explain in my own words the difference between the converse, the inve
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 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 allChoose your own method command word: solving a quadratic
I am in SS 3. Give me a quadratic equation and ask me to solve it by whichever method I th
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 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 allShow that (1,2), (3,6), and (5,10) are collinear
I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,
Subscribe to unlock allAP with 3rd term 11 and 8th term 31: find a and d
I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1
Subscribe to unlock allGP with 3rd term 18 and 6th term 486: find a and r
I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18
Subscribe to unlock allFind the sum of the first 15 terms of an AP
I am in SS 3. Give me a structured question where I am given the first term and common dif
Subscribe to unlock allShow that a geometric series converges and find its sum to infinity
I am in SS 3. Give me a structured question where I must first show a given geometric seri
Subscribe to unlock allFind the range of x for which y = x^3 - 3x is increasing
I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range
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
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