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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,304 prompts matching "Practice: Why an identity element must work from both sides"

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

Learn: The Pythagorean identity, sin squared plus cos squared equals one

You are my personal SS3 Further Mathematics tutor. Teach me the Pythagorean identity, sin

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

Act as my SS3 Further Mathematics tutor. Work a question on solving an equation by first a

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Show All Working: Proving two given lines perpendicular from their gradients

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on proving tw

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Learn: The range, and why it is a weak measure of spread

You are my personal SS3 Further Mathematics tutor. Teach me the range, and why it is a wea

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Structured question: equation of a circle from centre and a point

I am in SS 3. Set me a structured question where I am given the centre of a circle and a p

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Show that command word: trigonometric identity

I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear

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Show that command word: binomial coefficient identity

I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi

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Show all your working command word: permutation problem

I am in SS 3. Give me a permutation exam question that instructs 'show all your working',

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WAEC 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

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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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Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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Worked 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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Worked 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

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Worked example: prove an argument invalid using a truth table

I am in SS 3. Show me a full worked example of testing a logical argument for validity usi

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Worked example: seat 4 boys and 3 girls alternately in a row

I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and

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WAEC Prep: Subtracting one 2 by 2 matrix from another

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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WAEC Prep: The identity matrix, and what it does in a product

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Quiz: The zero matrix, and how it differs from nought in arithmetic

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix, and how it differs

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Quiz: Finding an unknown entry from a stated matrix equation

Act as my SS3 Further Mathematics tutor and quiz me on finding an unknown entry from a sta

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WAEC Prep: The determinant of the identity matrix

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the determinant of

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