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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,320 prompts matching "Finding a term given the sum of a series"

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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Worked example: binomial distribution problem

I am in SS 3. Show me one fully worked binomial probability example step by step, then giv

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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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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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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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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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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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Show all working: calculus and stationary points multi-part

I am in SS 3. Give me a multi-part Cambridge Additional Mathematics style question: part (

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Teach me Cramer's rule from first principles

I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de

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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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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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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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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Practice: Converting between index form and logarithm form

Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet

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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared

Act as my SS3 Further Mathematics tutor. Work a question on forming an equation whose root

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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha

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

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Worked Example: Evaluating a polynomial by substitution

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Practice: Factorising a cubic completely once one factor is known

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

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