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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,246 prompts matching "Set theory laws: commutative and associative"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Explain-back: complex conjugates

I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di

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Explain-back: the chain rule in calculus

I am in SS 3. Let me explain the chain rule for differentiation in my own words with my ow

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Explain-back: equilibrium of a rigid body

I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri

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Worked example: finding the argument in the correct quadrant

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

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Spot 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

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Spot my mistake in a Poisson probability calculation

I am in SS 3. I calculated a Poisson probability but I'm not confident about my factorial

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Spot my mistake integrating a polynomial

I am in SS 3. I integrated a polynomial but I think I forgot the constant of integration o

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Spot 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

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Quiz me: calculus differentiation rules

I am in SS 3. Quiz me with three short differentiation questions, one needing the product

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Teach me how to find the writing the inverse of a two by two matrix with the adjugate

You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat

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Teach me resolving forces on an inclined plane

I am in SS 3. Teach me how to resolve forces along and perpendicular to an inclined plane,

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WAEC Further Mathematics: calculus optimisation word problem

I am in SS 3. Give me a WAEC Further Mathematics style optimisation word problem, such as

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WAEC Further Mathematics: mechanics word problem on a lift or vehicle

I am in SS 3. Give me a WAEC Further Mathematics style mechanics word problem involving a

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WAEC Further Mathematics: matrices in a real-world context

I am in SS 3. Give me a WAEC Further Mathematics style word problem that applies matrix op

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Timed drill: five quick Further Maths WAEC-style questions

I am in SS 3. Give me five quick WAEC-style Further Mathematics questions from five differ

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Teach me the Poisson distribution from scratch

I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia

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Spot My Mistake: De Morgan's law that the complement of a union is the intersection of the complements

Act as my SS3 Further Mathematics tutor. Work a question on de Morgan's law that the compl

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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def

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Quiz: Testing a binary operation for commutativity

Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm

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Practice: Testing a binary operation for associativity

Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina

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