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Further Mathematics

AI prompts for senior secondary learners.

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995 prompts matching "Structured question: line through (1,4) and (5,-2)"

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

Worked example: find the equation of the line through (2,3) and (5,9)

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

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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: 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: 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: 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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Worked Example: Factorising a cubic into a linear and a quadratic factor

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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IGCSE Additional Maths Y11: The area between a curve and a straight line — Teach Me

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I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Teach me the area between a curve and a straight line the way the syllabus presents it, using its command words such as 'show that' and 'hence'. Work one example through step by step, then set me a short question in the same style.

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Teach me solving a linear and a quadratic equation by substitution

You are my SS2 Further Mathematics tutor. Teach me solving a linear and a quadratic equati

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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 - 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: 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: 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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Prove command word: line does not intersect a curve

I am in SS 2. Give me a 'prove that' style question where I must show a given line never m

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Common Mistakes: A word problem giving one linear and one quadratic equation

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w

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Common Mistakes: A line and a curve meeting once without the line being a tangent

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a l

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