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Further Mathematics

AI prompts for senior secondary learners.

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1,333 prompts matching "IGCSE Additional Maths Y11: Giving an answer to the accuracy the paper asks for"

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

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

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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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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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Explain back: converse and contrapositive

I am in SS 3. Let me explain in my own words the difference between the converse, the inve

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Show all your working command word: permutation problem

I am in SS 3. Give me a permutation exam question that instructs 'show all your working',

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Find the number of ways command word: combinations

I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin

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Explain back: difference between permutations and combinations

I am in SS 3. Let me explain in my own words why order matters for permutations but not fo

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Structured question: binomial expansion with a negative term

I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking

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WAEC exam question: solving f(x) = c for an unknown x

I am in SS 3. Give me a WAEC-style function question where I am given f(x) and a target ou

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Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Structured question: line through (1,4) and (5,-2)

I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and

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Show that (1,2), (3,6), and (5,10) are collinear

I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,

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AP with 3rd term 11 and 8th term 31: find a and d

I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1

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Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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Differentiate y = 4x^3 - 6x^2 + 2x - 9 and evaluate the gradient at x=1

I am in SS 3. Give me the curve y = 4x^3 - 6x^2 + 2x - 9 as a structured differentiation q

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Find the range of x for which y = x^3 - 3x is increasing

I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range

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Spot my mistake: solving an exponential equation

I am in SS 3. I will show you my working for solving an exponential equation by matching b

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Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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Worked example: expand (2-x)^5 using Pascal's triangle

I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay

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Structured question: surd equation with a solution to reject

I am in SS 3. Give me a structured surd equation question where squaring both sides introd

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