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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,316 prompts matching "Real-life application of completing the square"

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

Find the resultant of several concurrent forces #1

Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a

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Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

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Explain the triangle of forces method

Explain how the triangle of forces method finds a resultant, and compare it with the paral

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Explain the properties of the normal distribution curve

I am in SS 3. In your own words, explain the key properties of the normal distribution cur

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Find the moment of a force about a point #1

I am in SS 3. Give me a moments problem with a force of 15N acting at a distance of 2m fro

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Find the moment of a force about a point #2

I am in SS 3. Give me a moments problem with two forces of 10N and 6N acting at 3m and 5m

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Find the moment of a force about a point #4

I am in SS 3. Give me a moments problem with a see-saw problem with two people of differen

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Explain the conditions for equilibrium of a rigid body

I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu

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Explain the polygon of forces

I am in SS 3. Explain what the polygon of forces method is and how it shows several concur

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Explain friction and the coefficient of friction

I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t

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Teach me the suvat equations of motion

I am in SS 3. Teach me the five suvat equations of motion, when to use each one, and one w

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Show all working: the range and the greatest height of a projectile

I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest

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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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Teach me integration by recognising the reverse of differentiation

I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin

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Learn: The union of two sets written in set-builder notation

You are my personal SS3 Further Mathematics tutor. Teach me the union of two sets written

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Worked Example: The intersection of two overlapping sets

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

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Quiz: The complement of a set within a stated universal set

Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st

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Practice: The difference of two sets, A minus B

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

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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements

Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl

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