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Further Mathematics

AI prompts for senior secondary learners.

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1,224 prompts matching "Rationalising a denominator with a surd and integer"

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

Solve a 3x3 system using the inverse matrix method #2

I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it

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Find the resultant of two forces #1

I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each

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Find the resultant of two forces #2

Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t

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Find the resultant of two forces #3

Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the

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Find the resultant of two forces #4

I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as

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Find the resultant of two forces #5

I am in SS 3. Give me a problem with forces of 20N due east and 14N due north and ask me t

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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 #2

Give me a problem with four concurrent forces acting on a ring, each given with magnitude

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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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Show all working: resultant of forces question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f

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Solve a binomial probability problem #3

I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin

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Quiz me on the symmetry of the normal distribution curve

I am in SS 3. Quiz me with three true-or-false statements about the normal distribution cu

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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 #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

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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 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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Quiz me on equilibrium conditions

I am in SS 3. Quiz me with two short problems testing whether a set of forces is in equili

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