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Further Mathematics

AI prompts for senior secondary learners.

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1,331 prompts matching "Finding the common ratio when the third and sixth terms are given"

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Worked Example: The common acceleration of two connected particles

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Common Mistakes: What becomes of the tension when the string goes slack

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Practice: The maximum speed and the maximum acceleration in simple harmonic motion

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

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Worked example: finding the matrix of cofactors and the adjugate

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Find the sum to infinity command word

I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric

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

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Spot My Mistake: Using concurrence to find the direction of an unknown third force

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WAEC Prep: Finding velocity by integrating acceleration

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Quiz: The acceleration of a body sliding down a smooth incline

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Finding the inverse of a simple linear function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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Structured question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

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Find the remainder command word: cubic divided by a linear factor

I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by

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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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WAEC Prep: Raising a 2 by 2 matrix to the third power

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through raising a 2 by 2 m

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

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WAEC Prep: What Cramer's rule gives when the system is inconsistent

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Quiz: Arranging the equations in standard form before applying Cramer's rule

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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

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