Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,317 prompts matching "Why multiplying by the conjugate clears the surd"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
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 allShow that command word: biconditional equivalence
I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo
Subscribe to unlock allRationalise 7/(sqrt5 - 2) fully
I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising
Subscribe to unlock allScalar multiplication of a matrix #1
I am in SS 3. Set me a scalar multiplication question like A=[[5,-1],[2,3]], k=4, let me a
Subscribe to unlock allScalar multiplication of a matrix #2
Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip
Subscribe to unlock allScalar multiplication of a matrix #3
Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att
Subscribe to unlock allScalar multiplication of a matrix #4
I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a
Subscribe to unlock allScalar multiplication of a matrix #5
I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],
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 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 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 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 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 allMulti-part function exam question
I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha
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