Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Teach me the distance and midpoint formulas"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Restricting the domain so an inverse exists
I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^
Subscribe to unlock allCambridge-style question: change of base formula
I am in SS 3. Give me an Additional Maths question requiring the change of base formula to
Subscribe to unlock allStructured question: perpendicular bisector of a line segment
I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr
Subscribe to unlock allShow that command word: line is tangent to a circle
I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry
Subscribe to unlock allStructured question: the constant term in a binomial expansion
You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi
Subscribe to unlock allStructured question: three-part algebra question mixing methods
I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati
Subscribe to unlock allStructured question: perpendicular bisector of (2,1) and (-4,7)
I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi
Subscribe to unlock allFind the sum of the first 15 terms of an AP
I am in SS 3. Give me a structured question where I am given the first term and common dif
Subscribe to unlock allSpot my mistake: geometric progression sum to infinity
I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v
Subscribe to unlock allStructured word problem: market trader's geometric savings
I am in SS 3. Give me a structured geometric progression word problem where a market trade
Subscribe to unlock allStructured question: stating the domain of the inverse of a fractional function
You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a
Subscribe to unlock allStructured question: quadratic formula question with a negative discriminant
I am in SS 3. Give me a quadratic formula question where the discriminant turns out negati
Subscribe to unlock allLearn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Learn: The distributive law for a scalar over a sum of matrices
You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca
Subscribe to unlock allLearn: Deciding whether a stated matrix calculation is possible at all
You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr
Subscribe to unlock allLearn: The effect on a determinant of swapping two rows
You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of
Subscribe to unlock allLearn: Solving two simultaneous equations by Cramer's rule
You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat
Subscribe to unlock allLearn: The order of the steps in inverting a 3 by 3 matrix
You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve
Subscribe to unlock allLearn: The resultant of two perpendicular forces
You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic
Subscribe to unlock allLearn: The component of a force along a stated direction
You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along
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