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Further Mathematics

AI prompts for senior secondary learners.

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1,321 prompts matching "Solving an exponential equation by taking logarithms of both sides"

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: AP and GP sharing the same first three terms

I am in SS 3. Give me a structured question describing a sequence whose first three given

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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Structured question: quadratic formula question with a negative discriminant

I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati

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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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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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Explain Back: Subtracting two 3 by 3 matrices

I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L

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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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Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

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WAEC Prep: The identity matrix, and what it does in a product

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

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Quiz: The zero matrix, and how it differs from nought in arithmetic

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix, and how it differs

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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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WAEC Prep: A matrix expression with brackets to expand

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a matrix expressio

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WAEC Prep: When Cramer's rule is quicker than elimination

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

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Explain Back: Writing out the full matrix of cofactors

I have just studied writing out the full matrix of cofactors in my SS3 Further Mathematics

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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

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Explain Back: The inverse of a diagonal matrix

I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.

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WAEC Prep: A particle, and what the word assumes

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a particle, and wh

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WAEC Prep: A rigid body, and what the word assumes

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a rigid body, and

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WAEC Prep: Mass, and how it differs from weight

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

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