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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,325 prompts matching "reading the solutions as points of intersection"

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

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

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

Solve simultaneous equations with Cramer's rule (order 2) #3

Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a

Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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

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 #2

Give me a binomial distribution problem where n=10, p=0.5, find P(X is at least 7), using

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 when to use binomial versus Poisson

I am in SS 3. Explain the conditions under which I should use a binomial distribution vers

Show all working: combined binomial and normal question

I am in SS 3. Give me a Cambridge Additional Mathematics style question that has a binomia

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

Solve a three coplanar forces in equilibrium problem #3

I am in SS 3. Give me a problem involving a particle held in equilibrium by three forces a

Spot my mistake taking moments about a pivot

I am in SS 3. I calculated the moment of a force about a pivot but I think I used the wron

Vector addition, subtraction and magnitude #3

I am in SS 3. Give me a vector problem where a = 5i - j, find the magnitude of a. Let me a

Vector addition, subtraction and magnitude #4

I am in SS 3. Give me a vector problem where a = 2i + 3j - 6k, find the magnitude of a. Le

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