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Further Mathematics

AI prompts for senior secondary learners.

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787 prompts matching "Explaining why we rationalise denominators"

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

Explain 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

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WAEC Prep: Why one component vanishes when the direction is chosen well

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why one component

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Quiz: Why the power rule fails for the integral of one over x

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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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Why not every function has an inverse function

I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)

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Explaining function notation to a classmate

I am in SS 3. I'm going to explain explaining function notation and what f(x) really means

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Structured question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

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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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Spot My Mistake: Why matrix subtraction is not commutative

Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not

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Worked Example: A singular matrix, and why it has no inverse

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

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WAEC Prep: Why the cofactor signs alternate

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why the cofactor s

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Spot My Mistake: Why the inverse must be applied on the correct side

Act as my SS3 Further Mathematics tutor. Work a question on why the inverse must be applie

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Quiz: Why mass stays the same wherever the body is taken

Act as my SS3 Further Mathematics tutor and quiz me on why mass stays the same wherever th

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Worked Example: The weight of a body as mass times g

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

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Worked Example: Marking the weight, the normal reaction and the friction on a diagram

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WAEC Prep: Why friction is called a self-adjusting force

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why friction is ca

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Spot My Mistake: Why friction does not depend on the area of contact

Act as my SS3 Further Mathematics tutor. Work a question on why friction does not depend o

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WAEC Prep: Why three non-parallel forces in equilibrium must be concurrent

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

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Spot My Mistake: Why the probabilities in a distribution must sum to one

Act as my SS3 Further Mathematics tutor. Work a question on why the probabilities in a dis

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WAEC Prep: Why the mean and the variance of a Poisson distribution are equal

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

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