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Further Mathematics

AI prompts for senior secondary learners.

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1,324 prompts matching "Closure on a set of three elements under a stated rule"

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

Quiz me on choosing the correct method for a quadratic

I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor

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Quiz me on recognising which command word fits a blank exam question

I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g

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Give me a mixed revision pack blending logic and combinatorics

I am in SS 3. Give me a short mixed revision pack with one propositional logic question an

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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: The zero matrix as the identity for matrix addition

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for

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Spot My Mistake: Why matrix subtraction is not commutative

Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not

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Quiz: Multiplying a matrix by minus one

Act as my SS3 Further Mathematics tutor and quiz me on multiplying a matrix by minus one.

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Spot My Mistake: Orders that make a product possible one way round but not the other

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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Practice: A diagonal matrix

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat

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Practice: The condition on the orders for a product to exist

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

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Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts

Act as my SS3 Further Mathematics tutor and quiz me on expanding a 3 by 3 determinant alon

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Learn: Solving two simultaneous equations by Cramer's rule

You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat

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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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Quiz: Arranging the equations in standard form before applying Cramer's rule

Act as my SS3 Further Mathematics tutor and quiz me on arranging the equations in standard

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Quiz: Checking a 3 by 3 inverse by multiplication

Act as my SS3 Further Mathematics tutor and quiz me on checking a 3 by 3 inverse by multip

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Spot My Mistake: Why the inverse must be applied on the correct side

Act as my SS3 Further Mathematics tutor. Work a question on why the inverse must be applie

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Practice: What a singular coefficient matrix says about the equations

Act as my SS3 Further Mathematics tutor. Give me five practice questions on what a singula

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Learn: Converting a weight given in kilogram-force into newtons

You are my personal SS3 Further Mathematics tutor. Teach me converting a weight given in k

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Quiz: Recovering the original force from its two components

Act as my SS3 Further Mathematics tutor and quiz me on recovering the original force from

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Practice: Why the forces must sum to nought in two perpendicular directions

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

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