Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →240 prompts matching "Prove command word: factor theorem"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Worked example: prove an argument invalid using a truth table
I am in SS 3. Show me a full worked example of testing a logical argument for validity usi
Subscribe to unlock allSimplifying an expression before solving an equation
I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #3
I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua
Subscribe to unlock allSpot my mistake in a determinant expansion
I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si
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 allEvaluating a function at an algebraic input
I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at
Subscribe to unlock allDomain of a function involving a square root
I am in SS 3. Teach me finding the domain of a function involving a square root, such as f
Subscribe to unlock allRange of a simple function from its graph or values
I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si
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 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 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 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 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 allPiecewise-style simple function evaluation
I am in SS 3. Quiz me with 4 short Additional Maths questions on evaluating a function tha
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 allReviewing all function skills before a test
I am in SS 3. Quiz me with 5 short Additional Maths questions on a structured review of ev
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 allComparing two functions to see which grows faster
I am in SS 3. Quiz me with 5 short Additional Maths questions on comparing the outputs of
Subscribe to unlock allStructured question: permutations with repeated letters
I am in SS 3. Set me a structured question asking for the number of distinct arrangements
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