Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,333 prompts matching "Quiz: Factorising a difference of two squares in order to solve it"
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 finding a vector magnitude
I am in SS 3. I calculated the magnitude of a 3D vector but I'm not confident I squared an
Subscribe to unlock allExplain parallel and perpendicular vectors
I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using
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 allSpot my mistake finding a resultant force
I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used
Subscribe to unlock allSpot my mistake finding a vector cross product
I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about
Subscribe to unlock allQuiz me: forces and equilibrium mixed
I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu
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 allSelf-inverse functions
I am in SS 3. Quiz me with 3 short Additional Maths questions on what it means for a funct
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 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 allWAEC-style question on evaluating composite functions
I am in SS 3. Give me a WAEC Further Maths question involving evaluating a composite funct
Subscribe to unlock allStructured question: solve an exponential equation using indices
I am in SS 3. Give me a structured Additional Maths question where I solve an equation lik
Subscribe to unlock allNon-calculator paper: simplify an index expression
I am in SS 3. Give me a non-calculator Additional Maths question requiring me to simplify
Subscribe to unlock allWAEC exam question: solving an equation involving surds
I am in SS 3. Give me a WAEC-style Further Maths question where I solve an equation contai
Subscribe to unlock allStructured question: solve a logarithmic equation with two conditions
I am in SS 3. Give me a structured question where I solve a logarithmic equation and must
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 allFind the equation command word: circle through the origin
I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th
Subscribe to unlock allShow that command word: sum of an arithmetic progression
I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n
Subscribe to unlock allStructured question: geometric progression with two given terms
I am in SS 3. Give me a structured geometric progression question where two non-consecutiv
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