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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,034 prompts matching "Showing a set is not closed by a single counter-example"

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

Kinematics: equations of motion practice #4

I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i

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Kinematics: equations of motion practice #5

I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,

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Projectile motion problem #1

I am in SS 3. Give me a projectile motion problem where a ball is projected at 20 m/s at 3

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Projectile motion problem #2

I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s

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Projectile motion problem #3

I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60

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Projectile motion problem #4

I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a

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Explain the difference between speed and velocity in mechanics

I am in SS 3. Explain the difference between speed and velocity, and between distance and

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WAEC past-question practice: mechanics #2

I am in SS 3. Set me a WAEC-style projectile motion question exactly the way past papers p

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WAEC past-question practice: mechanics #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style kinematics question involving

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Rank my weakest Further Maths topics before WAEC

Ask me a quick diagnostic question from each major SS3 Further Mathematics topic — matrice

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WAEC Further Mathematics command words explained

I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and 'd

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Explain-back: what a matrix inverse actually does

I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d

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Explain-back: resultant versus resolution of forces

I am in SS 3. Let me explain the difference between finding a resultant force and resolvin

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Worked example: finding the matrix of cofactors and the adjugate

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

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Worked example: finding the argument in the correct quadrant

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

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WAEC Further Mathematics: vectors and geometry combined question

I am in SS 3. Give me a WAEC Further Mathematics style question combining position vectors

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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

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Worked Example: Finding one over alpha plus one over beta

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

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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

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