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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,318 prompts matching "Practice: Rationalising a denominator of the form a plus root b over c minus roo"

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

Show all working: evaluate a 3x3 determinant

Give me a Cambridge Additional Mathematics style 3x3 determinant question that says 'show

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Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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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

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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 #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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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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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 #2

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

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Define mass, force and weight with correct units

I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl

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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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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 #4

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

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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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Spot my mistake in a binomial probability question

I am in SS 3. I calculated P(X=3) for a binomial distribution but I think I used the wrong

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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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