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Further Mathematics

AI prompts for senior secondary learners.

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1,333 prompts matching "Learn: The biconditional, p if and only if q"

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Structured question: find the nth term and a specific term of an AP

I am in SS 3. Give me a structured arithmetic progression question where I first find the

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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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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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WAEC Prep: The difference between pre-multiplying and post-multiplying by a matrix

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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WAEC Prep: The difference between a kilogram and a kilogram weight

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

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Learn: The algebraic sum of moments when the senses differ

You are my personal SS3 Further Mathematics tutor. Teach me the algebraic sum of moments w

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Quiz: Newton's third law, and identifying the pair of forces

Act as my SS3 Further Mathematics tutor and quiz me on Newton's third law, and identifying

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Worked Example: Finding the first term and the common difference from two given terms

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

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Explain the difference between scalar and vector product

I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros

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Explain the difference between differentiation and integration

I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro

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Explain the difference between speed and velocity in mechanics

I am in SS 3. Explain the difference between speed and velocity, and between distance and

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Learn: Simplifying a surd by extracting the largest perfect square

You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti

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Quiz: Multiplying two surds and simplifying the result

Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi

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Worked Example: The difference between a permutation and a combination

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the di

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Show All Working: A lift, and the person standing in it

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on a lift, an

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Practice: The difference between an elastic string and a spring in compression

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference

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Spot my mistake: Assuming moments may only be taken about the pivot and never about another point

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming moments may only

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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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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr

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