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Further Mathematics

AI prompts for senior secondary learners.

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1,324 prompts matching "Closure on a set of three elements under a stated rule"

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

Spot my mistake: Treating the rth term of a binomial expansion as the one carrying the rth power

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the rth term of

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Spot my mistake: Treating the variance of a binomial distribution as its standard deviation

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the variance of

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Spot my mistake: Assuming the normal curve meets the horizontal axis at its points of inflexion

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming the normal curve

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Spot my mistake: Applying the power rule to the integral of one over x

Act as my SS3 Further Mathematics tutor. Write a short answer on applying the power rule t

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Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration

Act as my SS3 Further Mathematics tutor. Write a short answer on leaving out the constant

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Spot my mistake: Using an equation of constant acceleration on a body whose acceleration is changing

Act as my SS3 Further Mathematics tutor. Write a short answer on using an equation of cons

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Spot my mistake: Treating the action and the reaction of Newton's third law as forces acting on the same body

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the action and t

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Spot my mistake: Reading a strong correlation between two variables as proof that one causes the other

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Structured question: find the nth term and a specific term of an AP

I am in SS 3. Give me a structured arithmetic progression question where I first find the

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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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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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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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Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

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Solve a friction and forces of equilibrium problem #2

I am in SS 3. Give me a problem where a body on an inclined plane at 30 degrees with frict

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Solve a friction and forces of equilibrium problem #3

I am in SS 3. Give me a problem where a crate being pulled with an applied force while fri

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Quiz me on modulus and argument of complex numbers

I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t

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Quiz me on kinematics equations of motion

I am in SS 3. Quiz me with a short kinematics word problem and check whether I selected th

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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: 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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Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

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