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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,323 prompts matching "Why completing the square always works"

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: prove an argument invalid using a truth table

I am in SS 3. Show me a full worked example of testing a logical argument for validity usi

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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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Check whether my exam layout would satisfy a Cambridge examiner

I am in SS 3. I will show you my working for one exam-style question covered so far. Tell

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Worked Example: Adding two 3 by 3 matrices

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

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Worked Example: Taking a common factor out of a matrix

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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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Practice: The transpose of a 2 by 3 matrix

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

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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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WAEC Prep: Evaluating A squared minus 2A

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through evaluating A squar

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

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

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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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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

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

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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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Practice: Turning a minor into a cofactor with the sign rule

Act as my SS3 Further Mathematics tutor. Give me five practice questions on turning a mino

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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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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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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr

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