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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,245 prompts matching "Practice: Polynomial notation such as P of x"

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

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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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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

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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

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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

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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

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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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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

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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

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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

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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

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Explain standard deviation and the normal curve

I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c

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Use the normal distribution function to find a probability #4

I am in SS 3. Give me a normal distribution problem where mean 70 and standard deviation 1

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Explain when to use binomial versus Poisson

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

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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

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Solve a three coplanar forces in equilibrium problem #1

I am in SS 3. Give me a problem involving three forces of 8N, 10N and 12N acting at a poin

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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

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Show all working: moments and equilibrium question

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

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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

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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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