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Further Mathematics

AI prompts for senior secondary learners.

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1,333 prompts matching "A binary operation defined on the integers"

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: 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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Explain back: why we check the domain in logarithmic equations

I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain

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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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WAEC Prep: The commutative law for matrix addition

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the commutative la

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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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WAEC Prep: Subtracting one 2 by 2 matrix from another

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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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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WAEC Prep: The effect of a scalar on the determinant

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the effect of a sc

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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: 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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Learn: Deciding whether a stated matrix calculation is possible at all

You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr

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Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

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WAEC Prep: Expanding a 3 by 3 determinant along the first row

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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WAEC Prep: Setting out the coefficient determinant for two simultaneous equations

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Worked Example: Forming the determinant Dy by replacing the second column

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

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WAEC Prep: What Cramer's rule gives when the system is inconsistent

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through what Cramer's rule

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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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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin

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WAEC Prep: The inverse of a 2 by 2 matrix with a fractional determinant

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the inverse of a 2

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