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Further Mathematics

AI prompts for senior secondary learners.

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1,320 prompts matching "Finding the equation of a circle from its centre and radius"

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

Multiply matrices step by step #6

I am in SS 3. Show me how to multiply A=[[1,2,3]] (1x3) and B=[[1],[2],[3]] (3x1) using th

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Why is matrix multiplication not commutative

Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2

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Spot my mistake in a matrix transpose

I am in SS 3. I found the transpose of A=[[1,2,3],[4,5,6]] as [[1,4],[2,5],[3,6]] — please

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WAEC past-question practice: matrices #4

I am in SS 3. Give me a WAEC-style question that asks me to find the transpose of a matrix

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Evaluate a 2x2 determinant #2

I am in SS 3. Give me a 2x2 matrix like A=[[7,-2],[3,1]] and ask me to evaluate its determ

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Evaluate a 2x2 determinant #3

Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad

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Evaluate a 2x2 determinant #4

Give me a 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a

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Evaluate a 2x2 determinant #6

I am in SS 3. Give me a 2x2 matrix like A=[[0,-4],[6,2]] and ask me to evaluate its determ

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Spot my mistake in a determinant expansion

I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si

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Compare expanding a determinant along different rows

I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e

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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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WAEC past-question practice: inverse matrices #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style multi-part question: (a) find

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Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

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Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

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Resolve a force into horizontal and vertical components #2

Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the

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Resolve a force into horizontal and vertical components #3

I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to

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Resolve a force into horizontal and vertical components #4

I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to

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WAEC past-question practice: coplanar forces #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style question on the resultant of s

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Solve a binomial probability problem #3

I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin

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Solve a binomial probability problem #5

I am in SS 3. Give me a binomial distribution problem where n=5, p=0.6, find the probabili

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