Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,313 prompts matching "Finding n(A union B) using the formula"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Multi-part matrix question: add then multiply
Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul
Subscribe to unlock allExplain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Subscribe to unlock allVerify 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
Subscribe to unlock allSpot 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
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 allSolve 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
Subscribe to unlock allSolve 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
Subscribe to unlock allSolve 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
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 #2
Give me a problem with four concurrent forces acting on a ring, each given with magnitude
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 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 standard deviation and the normal curve
I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c
Subscribe to unlock allQuiz me on the symmetry of the normal distribution curve
I am in SS 3. Quiz me with three true-or-false statements about the normal distribution cu
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 #3
I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d
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
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