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Further Mathematics

AI prompts for senior secondary learners.

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1,315 prompts matching "Using the factor theorem before dividing"

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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Help me interpret my own WAEC Further Maths past mistakes

I am in SS 3. I will describe a mistake I keep making on a particular type of Further Math

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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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Quiz: The zero matrix as the identity for matrix addition

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for

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Quiz: Solving a matrix equation of the form A plus X equals B

Act as my SS3 Further Mathematics tutor and quiz me on solving a matrix equation of the fo

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Worked Example: Taking a common factor out of a matrix

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

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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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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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Learn: Deciding whether a stated matrix calculation is possible at all

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

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Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

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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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Quiz: Checking an inverse by multiplying to get the identity

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Learn: The order of the steps in inverting a 3 by 3 matrix

You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve

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Quiz: Solving three simultaneous equations with the inverse matrix

Act as my SS3 Further Mathematics tutor and quiz me on solving three simultaneous equation

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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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WAEC Prep: Resolving before compounding several forces

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through resolving before c

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Learn: The resultant of two perpendicular forces

You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic

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Learn: The component of a force along a stated direction

You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along

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Quiz: Recovering the original force from its two components

Act as my SS3 Further Mathematics tutor and quiz me on recovering the original force from

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Quiz: The magnitude of the resultant of several coplanar forces

Act as my SS3 Further Mathematics tutor and quiz me on the magnitude of the resultant of s

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