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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,333 prompts matching "A binary operation defined on the integers"

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: Solving a quadratic in sin x

I have just studied solving a quadratic in sin x in my SS3 Further Mathematics class. Let

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WAEC Prep: A phase shift in y equals sin of x minus d

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: Replacing two parallel forces by a single resultant

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

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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track

Act as my SS3 Further Mathematics tutor. Work a question on an aeroplane in a cross-wind,

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Learn: Two particles joined by a light inextensible string over a smooth pulley

You are my personal SS3 Further Mathematics tutor. Teach me two particles joined by a ligh

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Learn: Angular velocity, and how it relates to linear speed

You are my personal SS3 Further Mathematics tutor. Teach me angular velocity, and how it r

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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming multiplying a ve

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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming a quadratic with

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Show that command word: binomial coefficient identity

I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi

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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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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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Worked example: prove an argument invalid using a truth table

I am in SS 3. Show me a full worked example of testing a logical argument for validity usi

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Give me exam-technique advice for running out of time

I am in SS 3. Give me practical Additional Maths exam-technique advice for what to do if I

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Add two matrices, 2x2 #3

I am in SS 3. Give me a matrix problem where A=[[6,2],[-3,1]], B=[[1,4],[2,-5]] and I have

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Subtract two matrices, 2x2 #4

Give me a matrix problem where A=[[3,0],[-1,2]], B=[[-4,5],[6,1]] and I have to subtract t

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Add two matrices, 2x2 #7

I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have

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Subtract two matrices, 3x3 #8

Give me a matrix problem where A=[[0,5,1],[2,-2,3],[4,1,0]], B=[[1,1,-1],[0,2,2],[-3,1,1]]

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Spot my mistake in a matrix transpose

I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please

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Identify symmetric matrices practice

Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^

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Teach me equilibrium of forces from scratch

I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never

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