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Further Mathematics

AI prompts for senior secondary learners.

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687 prompts matching "Structured question: fully factorise x^3 + 4x^2 - 11x - 30"

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

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 3x^2 - 11x + 6

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

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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 + 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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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: 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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Factorise 4x^2 - 25

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 4x^

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Factorise 2x^2 - 11x + 5

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^

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Structured question: quadratic formula with exact surd answer

I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa

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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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Structured question: find coordinates of intersection points

I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

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Multi-part exam question on factorising trinomials

I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks

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Discriminant classification exam question

I am in SS 2. Give me a short structured question where I must use the discriminant to sta

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