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Further Mathematics

AI prompts for senior secondary learners.

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1,312 prompts matching "IGCSE Additional Maths Y11: What 'hence' means, and why the previous part must b"

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

Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

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Composite functions gf(x)

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

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Multi-part function exam question

I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha

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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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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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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

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WAEC-style past question on functions

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

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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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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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Non-calculator paper: exact trigonometric values

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

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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

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Solve x^2 - 6x - 16 = 0 with full exam working

I am in SS 3. Give me the equation x^2 - 6x - 16 = 0 as an Additional Maths exam question

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Solve x^2 + 13x + 40 = 0 with full exam working

I am in SS 3. Give me the equation x^2 + 13x + 40 = 0 as an Additional Maths exam question

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Solve 2x^2 - 5x - 12 = 0 with full exam working

I am in SS 3. Give me the equation 2x^2 - 5x - 12 = 0 as an Additional Maths exam question

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Solve 5x^2 + 13x - 6 = 0 with full exam working

I am in SS 3. Give me the equation 5x^2 + 13x - 6 = 0 as an Additional Maths exam question

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Solve x^2 - 2x - 35 = 0 with full exam working

I am in SS 3. Give me the equation x^2 - 2x - 35 = 0 as an Additional Maths exam question

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Solve 4x^2 - 12x + 5 = 0 with full exam working

I am in SS 3. Give me the equation 4x^2 - 12x + 5 = 0 as an Additional Maths exam question

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