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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "Quiz: Rationalising a denominator of the form one over root 3"

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

Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

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Structured question: quadratic formula question with a negative discriminant

I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati

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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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Non-calculator paper: exact value question on sum and product of roots

I am in SS 3. Give me a non-calculator sum and product of roots question where the final a

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Quiz me on recognising which command word fits a blank exam question

I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g

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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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WAEC Prep: Checking a single entry of a 3 by 3 product

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through checking a single

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WAEC Prep: Multiplying every entry of a matrix by a scalar

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

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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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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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

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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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Explain Back: Solving two simultaneous equations by multiplying by the inverse

I have just studied solving two simultaneous equations by multiplying by the inverse in my

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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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Spot My Mistake: Compounding three forces acting at one point

Act as my SS3 Further Mathematics tutor. Work a question on compounding three forces actin

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WAEC Prep: Resolving a force into horizontal and vertical components

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

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

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

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Explain Back: The forces acting on a body hanging from two strings

I have just studied the forces acting on a body hanging from two strings in my SS3 Further

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Explain Back: The order in which the forces are drawn round the triangle

I have just studied the order in which the forces are drawn round the triangle in my SS3 F

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Explain Back: Why the total moment about any point must be nought

I have just studied why the total moment about any point must be nought in my SS3 Further

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