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Further Mathematics

AI prompts for senior secondary learners.

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1,210 prompts matching "why a line tangent to a curve gives equal roots"

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: logarithmic inequality

I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch

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WAEC exam question: sequences applied to loan repayment

I am in SS 3. Give me a WAEC-style Further Maths question where a fixed amount is repaid e

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Explain back: quadratic inequality solution notation

I am in SS 3. Let me explain in my own words how to correctly write the solution set of a

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Non-calculator paper: coordinate geometry with fractional gradients

I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor

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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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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: 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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Practice: A 2 by 2 matrix multiplied by a column vector

Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri

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Worked Example: Taking a common factor out of a matrix

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

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Explain Back: Why the order of the letters matters in a matrix product

I have just studied why the order of the letters matters in a matrix product in my SS3 Fur

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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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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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WAEC Prep: The determinant of a 3 by 3 matrix with two equal rows

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the 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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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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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: 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: Why mass stays the same wherever the body is taken

Act as my SS3 Further Mathematics tutor and quiz me on why mass stays the same wherever th

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WAEC Prep: The resultant of two equal forces at sixty degrees

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the resultant of t

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Explain Back: The resultant of two forces acting in the same straight line

I have just studied the resultant of two forces acting in the same straight line in my SS3

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