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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Give me practice on the remainder theorem"

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: why matrix multiplication order matters

I am in SS 3. After I explain in my own words why AB does not always equal BA for matrices

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Explain-back: normal distribution properties

I am in SS 3. Let me explain the properties of the normal distribution curve in my own wor

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Explain-back: resultant versus resolution of forces

I am in SS 3. Let me explain the difference between finding a resultant force and resolvin

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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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Worked example: finding the matrix of cofactors and the adjugate

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

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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 solving a moments problem

I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp

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Quiz me: matrices, determinants and inverses mixed

I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d

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Quiz me: forces and equilibrium mixed

I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu

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Show all working: vectors and forces combined question

I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force

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Common Mistakes: Showing that intersection distributes over union

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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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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WAEC Prep: Completing a Cayley table for an operation on a small set

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Show All Working: Solving an equation written in terms of a binary operation

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving an

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Learn: Simplifying a surd by extracting the largest perfect square

You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti

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Quiz: Multiplying two surds and simplifying the result

Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi

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Spot My Mistake: Squaring a bracket that contains a surd

Act as my SS3 Further Mathematics tutor. Work a question on squaring a bracket that contai

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WAEC Prep: Comparing the sizes of two surds without a calculator

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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