Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "The degree of a polynomial in one variable"
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: 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 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: solving f(x) = c for an unknown x
I am in SS 3. Give me a WAEC-style function question where I am given f(x) and a target ou
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 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 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 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 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 allDifferentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1
I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q
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 allWorked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
Subscribe to unlock allStructured word problem: WAEC exam hall seating combinations
I am in SS 3. Set me a structured combinations word problem about choosing students for an
Subscribe to unlock allStructured question: logarithmic equation reducing to a quadratic
I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x
Subscribe to unlock allStructured question: simplifying a surd raised to a fractional index
I am in SS 3. Give me a structured question simplifying an expression that combines a surd
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 allStructured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Subscribe to unlock allStructured question: binomial expansion used for a probability estimate
I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a
Subscribe to unlock allStructured question: combination problem with 'at least' condition
I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc
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