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Further Mathematics

AI prompts for senior secondary learners.

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190 prompts matching "structured questions"

Cambridge-style structured question: factorise x^2 + 9x + 20

Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^

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Cambridge-style structured question: factorise x^2 - 11x + 24

Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^

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Cambridge-style structured question: factorise x^2 + 3x - 28

Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^

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Cambridge-style structured question: factorise 2x^2 + 9x + 4

Set me a Cambridge Additional Maths structured question that says 'Factorise completely 2x

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Cambridge-style structured question: factorise 3x^2 - 11x + 6

Set me a Cambridge Additional Maths structured question that says 'Factorise completely 3x

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Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

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Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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Cambridge-style structured question: line meets a curve

I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute

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Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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Structured question: divide a cubic and state quotient and remainder

Give me a structured question where I divide a cubic polynomial by a linear factor using l

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Structured question: find an unknown coefficient using the remainder theorem

Give me a structured Additional Maths question where a polynomial has an unknown coefficie

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Structured question: fully factorise a cubic using the factor theorem

Set me a structured question where I use the factor theorem to find one factor of a cubic,

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Structured question: solve a cubic equation fully

Give me a structured question where I factorise a cubic using the factor theorem and then

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Structured question: find fg(x) and gf(x)

Give me a structured question with two given functions f and g, asking me to find fg(x) an

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Structured question: find f^-1(x) and verify it

Set me a structured question where I find the inverse of a given function, then verify my

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Structured question: composite function with a restricted domain

Set me a structured question where a function has a restricted domain to make it one-to-on

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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 question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

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Structured question: solve a logarithmic equation with two conditions

I am in SS 3. Give me a structured question where I solve a logarithmic equation and must

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