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Further Mathematics

AI prompts for senior secondary learners.

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1,324 prompts matching "Structured question: complete the square then find the minimum"

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 the nth term and a specific term of an AP

I am in SS 3. Give me a structured arithmetic progression question where I first find the

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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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Structured question: find the equation of a normal to a curve

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

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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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Structured question: find k so a cubic has a repeated root

I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must

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Structured question: AP and GP sharing the same first three terms

I am in SS 3. Give me a structured question describing a sequence whose first three given

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Learn: Finding alpha squared plus beta squared from the sum and product

You are my personal SS3 Further Mathematics tutor. Teach me finding alpha squared plus bet

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Structured question: converse, inverse, and contrapositive together

I am in SS 3. Set me a structured question where, for one given conditional statement, I m

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Give me a past-paper style question bank for completing the square

I am in SS 3. Give me a bank of four exam-style questions on completing the square, rangin

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Structured question: trig equation with a coefficient inside the angle

I am in SS 3. Give me a structured trigonometric equation question where the angle inside

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Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

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Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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Multi-part matrix question: add then multiply

Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul

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Structured question: fully factorise x^3 - 2x^2 - 5x + 6

I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest

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Find the centre and radius from x^2+y^2-6x+8y-11=0

I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Finding the inverse of a simple linear function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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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: equation of a line through two points

I am in SS 3. Give me a structured question where I find the equation of a straight line t

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Structured question: equation of a circle from centre and a point

I am in SS 3. Set me a structured question where I am given the centre of a circle and a p

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