Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,322 prompts matching "Practice: Working through a quadratic by completing the square, step by step"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Factorising an expression with a common algebraic bracket factor
I am in SS 3. Teach me factorising an expression where the common factor is itself a brack
Subscribe to unlock allEvaluating a function at a given value
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allEvaluating a function at a negative value
I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(
Subscribe to unlock allComposite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Subscribe to unlock allComposite functions gf(x)
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allVerifying an inverse function is correct
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on veri
Subscribe to unlock allDomain and range of an inverse function
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allGraphs of a function and its inverse as reflections
I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec
Subscribe to unlock allMulti-part function exam question
I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha
Subscribe to unlock allWhy not every function has an inverse function
I am in SS 3. I attempted an Additional Maths question on why some functions, such as f(x)
Subscribe to unlock allWAEC-style past question on functions
I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Subscribe to unlock allFunction machines as an introduction to function notation
I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to
Subscribe to unlock allSpot my mistake: solving an exponential equation
I am in SS 3. I will show you my working for solving an exponential equation by matching b
Subscribe to unlock allStructured question: logic puzzle solved with a truth table
I am in SS 3. Give me a short logic puzzle involving two or three statements about people
Subscribe to unlock allAdd two matrices, 2x2 #1
Give me a matrix problem where A=[[2,3],[1,4]], B=[[5,-1],[0,2]] and I have to add them, s
Subscribe to unlock allSubtract two matrices, 2x2 #2
I am in SS 3. Give me a matrix problem where A=[[1,-2],[3,0]], B=[[4,1],[-2,5]] and I have
Subscribe to unlock allAdd two matrices, 2x2 #3
I am in SS 3. Give me a matrix problem where A=[[6,2],[-3,1]], B=[[1,4],[2,-5]] and I have
Subscribe to unlock allAdd two matrices, 3x3 #5
Give me a matrix problem where A=[[1,2,0],[3,-1,4],[0,2,1]], B=[[2,0,1],[1,1,-1],[3,-2,0]]
Subscribe to unlock allSubtract two matrices, 3x3 #6
I am in SS 3. Give me a matrix problem where A=[[4,1,-2],[0,3,1],[2,-1,5]], B=[[1,0,2],[-1
Subscribe to unlock allAdd two matrices, 2x2 #7
I am in SS 3. Give me a matrix problem where A=[[7,-3],[2,5]], B=[[-1,4],[3,0]] and I have
Subscribe to unlock all