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Further Mathematics

AI prompts for senior secondary learners.

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1,332 prompts matching "IGCSE Additional Maths Y11: The radian, and how it is defined — Teach Me"

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

Worked example: expand (2-x)^5 using Pascal's triangle

I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay

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Worked example: seat 4 boys and 3 girls alternately in a row

I am in SS 3. Show me a full worked example finding the number of ways to seat 4 boys and

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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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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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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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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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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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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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Worked Example: A singular matrix, and why it has no inverse

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

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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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Explain Back: Solving a matrix equation containing both a sum and a product

I have just studied solving a matrix equation containing both a sum and a product in my SS

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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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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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Spot My Mistake: Forming the determinant Dx by replacing the first column

Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

Act as my SS3 Further Mathematics tutor. Work a question on finding the adjoint of a 3 by

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Quiz: Checking an inverse by multiplying to get the identity

Act as my SS3 Further Mathematics tutor and quiz me on checking an inverse by multiplying

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Learn: The order of the steps in inverting a 3 by 3 matrix

You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve

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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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Quiz: Solving three simultaneous equations with the inverse matrix

Act as my SS3 Further Mathematics tutor and quiz me on solving three simultaneous equation

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