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Further Mathematics

AI prompts for senior secondary learners.

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1,323 prompts matching "Applying the sum to infinity formula when the ratio lies between minus one and o"

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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: Keeping track of the nine entries when multiplying 3 by 3 matrices

I have just studied keeping track of the nine entries when multiplying 3 by 3 matrices in

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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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Explain Back: The order of the answer when two matrices are multiplied

I have just studied the order of the answer when two matrices are multiplied in my SS3 Fur

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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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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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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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Quiz: Checking an inverse by multiplying to get the identity

Act as my SS3 Further Mathematics tutor and quiz me on checking an inverse by multiplying

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WAEC Prep: When the matrix method is worth the work for three unknowns

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

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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: Why one component vanishes when the direction is chosen well

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why one component

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Spot My Mistake: Drawing the triangle of forces to scale to find an unknown force

Act as my SS3 Further Mathematics tutor. Work a question on drawing the triangle of forces

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Quiz: The point about which the total moment of a set of forces vanishes

Act as my SS3 Further Mathematics tutor and quiz me on the point about which the total mom

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

Act as my SS3 Further Mathematics tutor. Work a question on using concurrence to find the

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Spot My Mistake: When Lami's theorem may be used, and when it may not

Act as my SS3 Further Mathematics tutor. Work a question on when Lami's theorem may be use

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Explain Back: The binomial probability formula

I have just studied the binomial probability formula in my SS3 Further Mathematics class.

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Practice: Using the normal tables when the z-score is negative

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

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Spot My Mistake: When the normal distribution may approximate the binomial

Act as my SS3 Further Mathematics tutor. Work a question on when the normal distribution m

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Worked Example: The continuity correction when approximating a discrete distribution

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