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Further Mathematics

AI prompts for senior secondary learners.

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1,313 prompts matching "Structured question: find fg(x) and gf(x)"

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 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: 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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Structured question: intersection of a line and a circle

I am in SS 3. Give me a structured question where I substitute a line's equation into a ci

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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: 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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Structured question: perpendicular bisector of (2,1) and (-4,7)

I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi

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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: circle and line with an unknown intercept

I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno

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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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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: 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: 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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Structured question: use Pascal's triangle to expand a binomial

I am in SS 3. Give me a structured question where I must write out the relevant row of Pas

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Structured question: three linked function sub-questions

I am in SS 3. Give me a structured question with three parts on the same pair of functions

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Showing that fg(x) is not the same as gf(x)

I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec

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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: geometric progression with two given terms

I am in SS 3. Give me a structured geometric progression question where two non-consecutiv

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Structured question: probability using combinations, exam style

I am in SS 3. Give me a structured question where I must find a probability by dividing th

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Structured question: unknown coefficient from a factor condition

I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a

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