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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,315 prompts matching "IGCSE Additional Maths Y11: The area between two curves that cross more than onc"

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 3x3 determinant by expansion #5

Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi

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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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Solve a 3x3 simultaneous equation system with Cramer's rule #1

I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y

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

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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WAEC past-question practice: determinants #2

I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu

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WAEC past-question practice: determinants #4

I am in SS 3. Test me with a timed WAEC-style determinant question — give it to me cold, l

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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

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Solve simultaneous equations using an inverse matrix #1

I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th

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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

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WAEC past-question practice: inverse matrices #2

I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac

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WAEC past-question practice: inverse matrices #4

I am in SS 3. Test me with a timed WAEC-style inverse matrix question, give it to me cold,

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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 #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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WAEC past-question practice: coplanar forces #2

I am in SS 3. Set me a WAEC-style question on resolving a force into horizontal and vertic

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WAEC past-question practice: coplanar forces #4

I am in SS 3. Test me with a timed WAEC-style coplanar forces question, give it to me cold

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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

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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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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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