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Further Mathematics

AI prompts for senior secondary learners.

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1,223 prompts matching "Condition for two lines to be parallel"

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 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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Explain the parallelogram of forces

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

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Quiz: The gradient of the line through two points

Act as my SS3 Further Mathematics tutor and quiz me on the gradient of the line through tw

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Solving an equation formed by equating two algebraic fractions

I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s

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Structured question: equation of a line through two points

I am in SS 3. Give me a structured question where I find the equation of a straight line t

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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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Learn: The resultant of two perpendicular forces

You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic

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Spot My Mistake: The greatest and the least resultant of two given forces

Act as my SS3 Further Mathematics tutor. Work a question on the greatest and the least res

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Quiz: Recovering the original force from its two components

Act as my SS3 Further Mathematics tutor and quiz me on recovering the original force from

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Worked Example: Drawing the polygon of forces to scale

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

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Quiz: The coefficient of friction between two surfaces

Act as my SS3 Further Mathematics tutor and quiz me on the coefficient of friction between

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Spot My Mistake: The moment of a force whose line of action is not perpendicular

Act as my SS3 Further Mathematics tutor. Work a question on the moment of a force whose li

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Worked Example: The moment of a force about a point on its own line of action

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

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Spot My Mistake: Finding two unknown tensions from three forces in equilibrium

Act as my SS3 Further Mathematics tutor. Work a question on finding two unknown tensions f

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Worked Example: Matching each force to the sine of the angle opposite it

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

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Learn: Finding two unknown forces by Lami's theorem

You are my personal SS3 Further Mathematics tutor. Teach me finding two unknown forces by

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Learn: The probability that a normal variable lies between two values

You are my personal SS3 Further Mathematics tutor. Teach me the probability that a normal

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Quiz: Writing a two-dimensional vector as a column

Act as my SS3 Further Mathematics tutor and quiz me on writing a two-dimensional vector as

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Spot My Mistake: Drawing a vector as a directed line segment

Act as my SS3 Further Mathematics tutor. Work a question on drawing a vector as a directed

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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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