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Further Mathematics

AI prompts for senior secondary learners.

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1,332 prompts matching "IGCSE Additional Maths Y11: An area found by splitting the region in two — Spot"

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

Composite function leading to solving an equation

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

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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

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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^

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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

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Structured question: solve an exponential equation using indices

I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik

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Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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Spot My Mistake: Squaring a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with

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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column

Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

Act as my SS3 Further Mathematics tutor. Work a question on checking a Cramer's rule solut

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

Act as my SS3 Further Mathematics tutor. Work a question on finding the adjoint of a 3 by

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Spot My Mistake: Why friction does not depend on the area of contact

Act as my SS3 Further Mathematics tutor. Work a question on why friction does not depend o

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Spot My Mistake: Classifying a stationary point by the second derivative

Act as my SS3 Further Mathematics tutor. Work a question on classifying a stationary point

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Spot My Mistake: The general form ax plus by plus c equals nought

Act as my SS3 Further Mathematics tutor. Work a question on the general form ax plus by pl

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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming multiplying a ve

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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Evaluating a function at an algebraic input

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

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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)

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Non-calculator paper: simplify an index expression

I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify

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Cambridge-style question: change of base formula

I am in SS 3. Give me an Additional Maths question requiring the change of base formula to

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