Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,327 prompts matching "The factor theorem for a factor of the form ax plus b"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
WAEC exam question: testing an argument with a truth table
I am in SS 3. Give me a WAEC Further Maths exam question with a two-premise argument, and
Subscribe to unlock allStructured question: arrangements with a restriction
I am in SS 3. Give me a structured permutations question where letters or people must be a
Subscribe to unlock allShow all your working command word: permutation problem
I am in SS 3. Give me a permutation exam question that instructs 'show all your working',
Subscribe to unlock allSimplify (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 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 allStructured question: circle centre (3,-2) radius 5
I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius
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 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 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: population growth as a geometric sequence
I am in SS 3. Set me a structured word problem where a town's population grows geometrical
Subscribe to unlock allStructured question: surd equation with a solution to reject
I am in SS 3. Give me a structured surd equation question where squaring both sides introd
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: logic puzzle solved with a truth table
I am in SS 3. Give me a short logic puzzle involving two or three statements about people
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
Subscribe to unlock allWAEC exam question: polynomial division real-world framing
I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi
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