Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →104 prompts matching "functions"
IGCSE Additional Maths Y11: Finding a curve from its gradient function and one point — Common Mistakes
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca
Subscribe to unlock allIGCSE Additional Maths Y11: A definite integral of a trigonometric function — IGCSE Exam Practice
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a past-paper-st
Subscribe to unlock allIGCSE Additional Maths Y11: A definite integral of an exponential function — Show All Working
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on a
Subscribe to unlock allUse the normal distribution function to find a probability #1
I am in SS 3. Give me a normal distribution problem where mean 50 and standard deviation 5
Subscribe to unlock allUse the normal distribution function to find a probability #2
I am in SS 3. Give me a normal distribution problem where mean 100 and standard deviation
Subscribe to unlock allUse the normal distribution function to find a probability #3
I am in SS 3. Give me a normal distribution problem where mean 60 and standard deviation 8
Subscribe to unlock allUse the normal distribution function to find a probability #4
I am in SS 3. Give me a normal distribution problem where mean 70 and standard deviation 1
Subscribe to unlock allShowing that fg(x) is not the same as gf(x)
I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec
Subscribe to unlock allQuiz me on basic differentiation
Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di
Subscribe to unlock allStructured question: find fg(x) and gf(x)
Give me a structured question with two given functions f and g, asking me to find fg(x) an
Subscribe to unlock allSpot my mistake using the product rule
I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ
Subscribe to unlock allWorked example: differentiating using the quotient rule
I am in SS 3. Show me one fully worked example of differentiating a quotient of two functi
Subscribe to unlock allThe vertical line test
I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid
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 allSolving f(x) = a given value
I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th
Subscribe to unlock allTeach me the basics of differentiation
Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom
Subscribe to unlock allWorked example: finding the gradient of a curve at a point
Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly
Subscribe to unlock allSpot my mistake differentiating a polynomial
Act as my SS2 Further Maths tutor. I differentiated a polynomial function but I think I ma
Subscribe to unlock allStructured question: find f^-1(x) and verify it
Set me a structured question where I find the inverse of a given function, then verify my
Subscribe to unlock allState the domain and range command word
Give me a function question phrased 'state the domain and range', for a function with a re
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