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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,320 prompts matching "Finding the identity element from a rule such as a*b = a + b - 3"

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

Explain the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

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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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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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Show all working: the determinant of a three by three matrix

You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat

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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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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

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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

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Find the resultant of two forces #3

Give me a problem with two forces of 5N and 9N acting at 45 degrees and ask me to find the

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Find the resultant of two forces #4

I am in SS 3. Give me a problem with two forces of 15N and 7N acting at 120 degrees and as

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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

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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

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Find the resultant of several concurrent forces #2

Give me a problem with four concurrent forces acting on a ring, each given with magnitude

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Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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Explain the triangle of forces method

Explain how the triangle of forces method finds a resultant, and compare it with the paral

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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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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

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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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Use the normal distribution function to find a probability #2

I am in SS 3. Give me a normal distribution problem where mean 100 and standard deviation

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Use the normal distribution function to find a probability #3

I am in SS 3. Give me a normal distribution problem where mean 60 and standard deviation 8

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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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