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Further Mathematics

AI prompts for senior secondary learners.

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1,188 prompts matching "Alternating sequences and their pattern"

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

Quiz me on logic symbols and their meanings

I am in SS 3. Quiz me by giving me logic symbols one at a time, such as negation, conjunct

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Give me an exam formula sheet for sequences and series

I am in SS 3. Build me a short formula sheet covering every formula I need for arithmetic

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Give me a past-paper style question bank for sequences and series

I am in SS 3. Give me a bank of four exam-style questions on arithmetic and geometric prog

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Show that command word: biconditional equivalence

I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo

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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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Structured 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

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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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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

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

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WAEC Prep: The distance between two points from their position vectors

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

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WAEC Prep: Finding the angle between two vectors from their dot product

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

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Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

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WAEC Prep: Proving two given lines parallel from their gradients

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

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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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Common Mistakes: The angle between two lines found from their gradients

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Spot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant

Act as my SS3 Further Mathematics tutor. Write a short answer on adding the magnitudes of

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What a function is and function notation

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on what

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Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

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Domain and range of an inverse function

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

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Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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