Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,334 prompts matching "Surds and indices together in one question"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Range 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 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 allNon-calculator paper: exact trigonometric values
I am in SS 3. Give me a non-calculator Additional Maths question requiring exact trigonome
Subscribe to unlock allSimplify (8^(2/3) times 4^(-1/2)) fully
I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2
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 allShow that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Subscribe to unlock allLearn: Why two matrices can be added only when their orders match
You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.
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Quiz: The zero matrix as the identity for matrix addition
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for
Subscribe to unlock allSpot My Mistake: Why matrix subtraction is not commutative
Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not
Subscribe to unlock allLearn: The distributive law for a scalar over a sum of matrices
You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca
Subscribe to unlock allSpot My Mistake: A symmetric matrix, equal to its own transpose
Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i
Subscribe to unlock allQuiz: Why mass stays the same wherever the body is taken
Act as my SS3 Further Mathematics tutor and quiz me on why mass stays the same wherever th
Subscribe to unlock allLearn: The resultant of two perpendicular forces
You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic
Subscribe to unlock allQuiz: The magnitude of the resultant of several coplanar forces
Act as my SS3 Further Mathematics tutor and quiz me on the magnitude of the resultant of s
Subscribe to unlock allLearn: What an unclosed polygon of forces tells you
You are my personal SS3 Further Mathematics tutor. Teach me what an unclosed polygon of fo
Subscribe to unlock allQuiz: The coefficient of friction between two surfaces
Act as my SS3 Further Mathematics tutor and quiz me on the coefficient of friction between
Subscribe to unlock allSpot My Mistake: Why friction does not depend on the area of contact
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Subscribe to unlock allLearn: The algebraic sum of moments when the senses differ
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Subscribe to unlock allQuiz: The situations a Poisson distribution models
Act as my SS3 Further Mathematics tutor and quiz me on the situations a Poisson distributi
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