Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,034 prompts matching "Showing a set is not closed by a single counter-example"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming multiplying a ve
Subscribe to unlock allSpot my mistake: Treating the dot product of two vectors as another vector
Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product
Subscribe to unlock allSpot my mistake: Differentiating a product by multiplying the derivatives of its two factors
Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product
Subscribe to unlock allTeach me integration by recognising the reverse of differentiation
I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin
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 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 allEvaluate a 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #5
Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi
Subscribe to unlock allShow All Working: The time at which two bodies are nearest one another
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the time a
Subscribe to unlock allFactorising 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 allSolving an equation formed by equating two algebraic fractions
I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s
Subscribe to unlock allRestricting 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 allFind the remainder command word: cubic divided by a linear factor
I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by
Subscribe to unlock allWAEC Prep: Adding two 2 by 2 matrices entry by entry
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allWAEC Prep: Checking a matrix subtraction by adding back
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through checking a matrix
Subscribe to unlock allWAEC Prep: The product of a 2 by 2 matrix with the identity
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the product of a 2
Subscribe to unlock allWAEC Prep: Multiplying two 2 by 2 matrices, row into column
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allWAEC Prep: Multiplying a 3 by 3 matrix by the identity matrix
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through multiplying a 3 by
Subscribe to unlock allWAEC Prep: Multiplying two 3 by 3 matrices, row into column
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allWAEC Prep: Multiplying a matrix by a fraction
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through multiplying a matr
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