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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,334 prompts matching "Rejecting a negative answer in an indicial equation"

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: 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

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

Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

Verifying an inverse function is correct

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on veri

Domain and range of an inverse function

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

Why not every function has an inverse function

I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)

Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

Function machines as an introduction to function notation

I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to

Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

Show that command word: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

Find the sum to infinity command word

I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric

Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

Show that command word: binomial coefficient identity

I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi

Structured question: use binomial expansion to approximate a value

I am in SS 3. Give me a structured question where I expand a binomial expression and then

Find the coefficient command word: binomial expansion

I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia

Show that command word: stationary point classification

I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a

Structured question: find and classify all stationary points

I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta

Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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