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Further Mathematics

AI prompts for senior secondary learners.

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1,329 prompts matching "IGCSE Additional Maths Y10: An exact answer left in surd form — Worked Example"

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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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Help me interpret my own WAEC Further Maths past mistakes

I am in SS 3. I will describe a mistake I keep making on a particular type of Further Math

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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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Practice: The transpose of a 2 by 3 matrix

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

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

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Learn: The effect on a determinant of swapping two rows

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

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

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

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Learn: Solving two simultaneous equations by Cramer's rule

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

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

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

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Worked Example: The units of mass, and the SI unit

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Learn: Inertia, and what mass actually measures

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Practice: The value of g used in Nigerian examination papers

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Worked Example: The direction of the resultant of two forces

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Learn: The resultant of two perpendicular forces

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