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Further Mathematics

AI prompts for senior secondary learners.

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1,330 prompts matching "Structured question: new equation with roots 1/alpha and 1/beta"

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: 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: logarithmic equation reducing to a quadratic

I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x

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Structured question: binomial expansion coefficient equation

I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien

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Structured question: polynomial with a given remainder pattern

I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind

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Structured question: circle with a diameter given by two endpoints

I am in SS 3. Give me a structured coordinate geometry question where two points are the e

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Structured question: combination problem with 'at least' condition

I am in SS 3. Give me a structured combinations question with an 'at least' condition, suc

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Explain Back: Forming a quadratic equation with given complex roots

I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe

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Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

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Solve a quadratic equation with complex roots #2

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0

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Solve a quadratic equation with complex roots #3

I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Worked Example: The equation of a circle with a given centre and radius

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the eq

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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 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: 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: choosing a committee with a condition

I am in SS 3. Set me a structured combinations question where a committee must be chosen f

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Structured question: permutations with repeated letters

I am in SS 3. Set me a structured question asking for the number of distinct arrangements

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