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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,150 prompts matching "Cambridge-style structured question: factorise x^2 + 3x - 28"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Find the centre and radius from x^2+y^2-6x+8y-11=0

I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski

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Prove 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

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Prove 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

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AP 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

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GP 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

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Find 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

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Show 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

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Differentiate 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

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Find the tangent to y = x^2 - 4x + 7 at x = 3

I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie

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Find 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/

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Simulate 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

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Give me exam-technique advice for running out of time

I am in SS 3. Give me practical Additional Maths exam-technique advice for what to do if I

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Give me a mixed revision pack blending logic and combinatorics

I am in SS 3. Give me a short mixed revision pack with one propositional logic question an

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Multiply matrices step by step #6

I am in SS 3. Show me how to multiply A=[[1,2,3]] (1x3) and B=[[1],[2],[3]] (3x1) using th

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Explain the identity matrix

Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

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Explain the rule of signs for determinants

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

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Spot my mistake in a determinant expansion

I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si

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Explain the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

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Show all working: the range and the greatest height of a projectile

I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest

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Practice under WAEC exam conditions

I am in SS 3. Give me a WAEC Further Mathematics style question, tell me to solve it under

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