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Further Mathematics

AI prompts for senior secondary learners.

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1,009 prompts matching "Why closure is checked before any other property"

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

Spot My Mistake: Dividing one complex number by another using the conjugate

Act as my SS3 Further Mathematics tutor. Work a question on dividing one complex number by

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag

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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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Spot my mistake: Treating any vector with small components as a unit vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating any vector with

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Spot my mistake: Treating the dot product of two vectors as another vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product

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Spot my mistake: Reading a strong correlation between two variables as proof that one causes the other

Act as my SS3 Further Mathematics tutor. Write a short answer on reading a strong correlat

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

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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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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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Learn: Subtracting one vector from another

You are my personal SS3 Further Mathematics tutor. Teach me subtracting one vector from an

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Explain-back: why matrix multiplication order matters

I am in SS 3. After I explain in my own words why AB does not always equal BA for matrices

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Learn: The velocity of one body relative to another

You are my personal SS3 Further Mathematics tutor. Teach me the velocity of one body relat

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Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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Spot my mistake in a Pascal's row truth table

I am in SS 3. I will show you my attempt at a truth table for a compound proposition with

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Spot my mistake: dividing a polynomial by long division

I am in SS 3. I will show you my full long division working for dividing a polynomial by a

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Spot my mistake: geometric progression sum to infinity

I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v

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Build me a two-week countdown revision schedule

I am in SS 3. Build me a two-week countdown revision schedule covering all of the Further

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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: 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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