Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "the change of base formula in a calculation"
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
Subscribe to unlock allShow 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
Subscribe to unlock allFind 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
Subscribe to unlock allFind 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
Subscribe to unlock allFind 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
Subscribe to unlock allFind 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
Subscribe to unlock allFind 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
Subscribe to unlock allFind 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
Subscribe to unlock allFind 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
Subscribe to unlock allExplain the parallelogram of forces
Explain the parallelogram law for finding the resultant of two forces, with a labelled dia
Subscribe to unlock allExplain the triangle of forces method
Explain how the triangle of forces method finds a resultant, and compare it with the paral
Subscribe to unlock allExplain 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
Subscribe to unlock allExplain the meaning of a probability distribution
I am in SS 3. Explain what a probability distribution is and how it differs from a single
Subscribe to unlock allFind the moment of a force about a point #1
I am in SS 3. Give me a moments problem with a force of 15N acting at a distance of 2m fro
Subscribe to unlock allFind the moment of a force about a point #2
I am in SS 3. Give me a moments problem with two forces of 10N and 6N acting at 3m and 5m
Subscribe to unlock allFind the moment of a force about a point #4
I am in SS 3. Give me a moments problem with a see-saw problem with two people of differen
Subscribe to unlock allExplain the conditions for equilibrium of a rigid body
I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu
Subscribe to unlock allExplain the polygon of forces
I am in SS 3. Explain what the polygon of forces method is and how it shows several concur
Subscribe to unlock allExplain friction and the coefficient of friction
I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t
Subscribe to unlock allShow all working: the range and the greatest height of a projectile
I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest
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