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Further Mathematics

AI prompts for senior secondary learners.

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1,334 prompts matching "Spot my mistake dividing two complex numbers in modulus-argument form"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Explain pre-multiplication and post-multiplication

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

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Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

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Show all working: evaluate a 3x3 determinant

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

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Find the inverse of a 3x3 matrix using cofactors #1

I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f

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Find the inverse of a 3x3 matrix using cofactors #2

I am in SS 3. Give me a 3x3 matrix like A=[[2,0,1],[1,3,-1],[0,1,2]] and guide me through

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Find the inverse of a 3x3 matrix using cofactors #3

Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in

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Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

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Show all working: resultant of forces question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f

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Solve a three coplanar forces in equilibrium problem #2

I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two

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Position vectors and displacement between points #4

I am in SS 3. Give me a vectors problem where I have a point dividing a line AB in a given

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Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

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Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

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Solve a quadratic equation with complex roots #2

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0

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Explain finding area under a curve using integration

I am in SS 3. Explain how definite integration gives the area under a curve between two li

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Worked example: differentiating using the quotient rule

I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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

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Common Mistakes: The range of values of x for which an expression stays positive

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Quiz: The number of arrangements of r objects chosen from n

Act as my SS3 Further Mathematics tutor and quiz me on the number of arrangements of r obj

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Common Mistakes: Arrangements restricted at the first or the last place

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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