Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,166 prompts matching "differentiate y = (2x-1)(x+3) after expanding it first"
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Structured question: fully factorise x^3 - 2x^2 - 5x + 6
I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest
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 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 allWorked example: solve 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it
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: 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 allExplain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Subscribe to unlock allPractice: The condition on the orders for a product to exist
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition
Subscribe to unlock allWAEC Prep: Expanding a 3 by 3 determinant down a column
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through expanding a 3 by 3
Subscribe to unlock allQuiz: Expanding a 3 by 3 determinant along a row or column containing noughts
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Subscribe to unlock allSpot My Mistake: Forming the determinant Dx by replacing the first column
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Subscribe to unlock allPractice: Turning a minor into a cofactor with the sign rule
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Subscribe to unlock allSpot My Mistake: Checking cofactors by expanding the determinant along a second row
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Subscribe to unlock allPractice: Why a 2 by 2 matrix with determinant nought cannot be inverted
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Subscribe to unlock allPractice: Comparing the inverse method with elimination for three equations
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Subscribe to unlock allPractice: Limiting friction, and the greatest value it can reach
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Subscribe to unlock allPractice: The probability of at least one success
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Subscribe to unlock allPractice: The probability of exactly r events in a Poisson distribution
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