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Further Mathematics

AI prompts for senior secondary learners.

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1,018 prompts matching "A pair with equal roots, meaning one solution only"

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

Practice: The condition for a quadratic equation to have equal roots

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition

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Practice: Solving an inequality with the unknown in the denominator

Act as my SS3 Further Mathematics tutor. Give me five practice questions on solving an ine

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Show All Working: Solving a pair of simultaneous linear inequalities

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

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Spot my mistake: Treating any vector with small components as a unit vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating any vector with

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Inequality word problem with a real-life constraint

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

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Structured question: quadratic with roots that differ by a given amount

I am in SS 3. Give me a structured question where I am told the roots of a quadratic diffe

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Give me an exam formula sheet for sum and product of roots

I am in SS 3. Build me a short formula sheet covering every formula I need for sum and pro

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Give me an exam formula sheet for quadratic inequalities

I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua

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Spot my mistake: forming a quadratic equation from its roots

Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Quiz: Solving a matrix equation of the form A plus X equals B

Act as my SS3 Further Mathematics tutor and quiz me on solving a matrix equation of the fo

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Quiz: Solving AX equals B and XA equals B by different routes

Act as my SS3 Further Mathematics tutor and quiz me on solving AX equals B and XA equals B

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Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

Act as my SS3 Further Mathematics tutor. Work a question on checking a Cramer's rule solut

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Learn: The cube roots of unity

You are my personal SS3 Further Mathematics tutor. Teach me the cube roots of unity, worki

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Quiz: The roots of a complex number shown on an Argand diagram

Act as my SS3 Further Mathematics tutor and quiz me on the roots of a complex number shown

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Learn: Newton's second law written as F equals ma

You are my personal SS3 Further Mathematics tutor. Teach me Newton's second law written as

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Quiz: Newton's third law, and identifying the pair of forces

Act as my SS3 Further Mathematics tutor and quiz me on Newton's third law, and identifying

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Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

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