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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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486 prompts matching "Deciding if three points are collinear"

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

Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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Learn: The coordinates of a point in three dimensions

You are my personal SS3 Further Mathematics tutor. Teach me the coordinates of a point in

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Show that command word: stationary point classification

I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a

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Structured question: find and classify all stationary points

I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices

I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my

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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: Two vectors that are equal but drawn in different places

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through two vectors that a

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Worked Example: The distance between two points in three dimensions

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

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Practice: Deciding whether a point lies on a given line

Act as my SS3 Further Mathematics tutor. Give me five practice questions on deciding wheth

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Practice: Differentiating x squared from first principles

Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin

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WAEC Prep: Differentiating the square root of a function

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through differentiating th

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Spot My Mistake: Classifying a stationary point by the second derivative

Act as my SS3 Further Mathematics tutor. Work a question on classifying a stationary point

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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

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Find and classify stationary points #1

I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify

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Find and classify stationary points #2

I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary

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Find and classify stationary points #3

I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum

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Show all working: differentiation and stationary points question

I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen

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Learn: Simplifying a surd by extracting the largest perfect square

You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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

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