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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,212 prompts matching "Discriminant classification exam question"

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

Piecewise-style simple function evaluation

I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha

One-to-one versus many-to-one functions

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

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^

Finding f(x) given a description of the function rule

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

Solving f(x) = a given value

I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th

Composite function with three functions applied in order

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

Quiz me rapid-fire on evaluating functions

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

Reviewing all function skills before a test

I am in SS 3. Quiz me with 5 short Additional Maths questions on a structured review of ev

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

Comparing two functions to see which grows faster

I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of

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: logarithm laws

I am in SS 3. Set me a 'show that' logarithm question where I must use the laws of logarit

Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

Find the equation command word: circle through the origin

I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th

Show that command word: trigonometric identity

I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear

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

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

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

Determine command word: validity of an argument

I am in SS 3. Give me an exam question phrased 'determine whether the following argument i

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