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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,034 prompts matching "Showing a set is not closed by a single counter-example"

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: The time taken to move between two points in simple harmonic motion

Act as my SS3 Further Mathematics tutor. Work a question on the time taken to move between

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Spot My Mistake: A particle hanging in equilibrium on an elastic string

Act as my SS3 Further Mathematics tutor. Work a question on a particle hanging in equilibr

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Spot my mistake: Assuming AB and BA give the same matrix

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming AB and BA give t

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Spot my mistake: Treating the kilogram and the kilogram weight as the same unit

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the kilogram and

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Spot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant

Act as my SS3 Further Mathematics tutor. Write a short answer on adding the magnitudes of

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Spot my mistake: Treating the rth term of a binomial expansion as the one carrying the rth power

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the rth term of

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Spot my mistake: Treating any vector with small components as a unit vector

Act as my SS3 Further Mathematics tutor. Write a short answer on treating any vector with

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Spot my mistake: Applying the power rule to the integral of one over x

Act as my SS3 Further Mathematics tutor. Write a short answer on applying the power rule t

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Spot my mistake: Treating the action and the reaction of Newton's third law as forces acting on the same body

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the action and t

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Spot my mistake: Reading a strong correlation between two variables as proof that one causes the other

Act as my SS3 Further Mathematics tutor. Write a short answer on reading a strong correlat

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Evaluating 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(

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Domain 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

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Composite functions fg(x)

I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f

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Graphs 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

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Multi-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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Structured 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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Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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Simplify (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

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Structured question: quadratic word problem about a thrown ball

I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro

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Subtract two matrices, 2x2 #4

Give me a matrix problem where A=[[3,0],[-1,2]], B=[[-4,5],[6,1]] and I have to subtract t

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