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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,315 prompts matching "Structured question: divide a cubic and state quotient and remainder"

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

Verify A times A-inverse equals the identity

I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and

Spot my mistake in finding a matrix inverse

I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d

Solve simultaneous equations using an inverse matrix #2

I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t

Solve simultaneous equations using an inverse matrix #3

Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t

Find the resultant of two forces #1

I am in SS 3. Give me a problem with two forces of 8N and 6N acting at 60 degrees to each

Find the resultant of two forces #2

Give me a problem with two forces of 10N and 12N acting at 90 degrees and ask me to find t

Find the resultant of two forces #5

I am in SS 3. Give me a problem with forces of 20N due east and 14N due north and ask me t

Find the resultant of several concurrent forces #1

Give me a problem with three coplanar forces of 5N, 7N and 9N acting at different angles a

Spot my mistake resolving a force

I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component

Explain the parallelogram of forces

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

Teach me composition of coplanar forces

I am in SS 3. Teach me what composition of forces means in mechanics and how it differs fr

Solve a binomial probability problem #1

Give me a binomial distribution problem where n=8, p=0.3, find P(X=3), using the binomial

Solve a binomial probability problem #4

I am in SS 3. Give me a binomial distribution problem where n=12, p=0.4, find P(X=5), usin

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

Solve a Poisson distribution problem #1

I am in SS 3. Give me a Poisson distribution problem where the mean rate of 4 per hour, fi

Solve a Poisson distribution problem #2

I am in SS 3. Give me a Poisson distribution problem where the mean rate of 3 defects per

Solve a Poisson distribution problem #3

I am in SS 3. Give me a Poisson distribution problem where the mean rate of 5 calls per mi

Solve a Poisson distribution problem #4

I am in SS 3. Give me a Poisson distribution problem where the mean rate of 2.5 accidents

Explain the properties of the normal distribution curve

I am in SS 3. In your own words, explain the key properties of the normal distribution cur

Use the normal distribution function to find a probability #1

I am in SS 3. Give me a normal distribution problem where mean 50 and standard deviation 5

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