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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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701 prompts matching "Solving a quadratic that must be rearranged before factorising"

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

Structured word problem: fencing a rectangular garden

I am in SS 3. Set me a structured Additional Maths word problem where a farmer in Nigeria

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Explain back: why we check the domain in logarithmic equations

I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain

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Projectile motion problem #1

I am in SS 3. Give me a projectile motion problem where a ball is projected at 20 m/s at 3

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Projectile motion problem #2

I am in SS 3. Give me a projectile motion problem where a projectile is launched at 25 m/s

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Projectile motion problem #3

I am in SS 3. Give me a projectile motion problem where a stone is thrown at 18 m/s at 60

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Projectile motion problem #4

I am in SS 3. Give me a projectile motion problem where a ball is projected horizontally a

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Inequality word problem with a real-life constraint

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a wo

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Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

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Finding the making x the subject of a fractional function

You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu

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Function notation applied to a real-world formula

I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu

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Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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Explaining function notation to a classmate

I am in SS 3. I'm going to explain explaining function notation and what f(x) really means

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Function machines as an introduction to function notation

I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to

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Structured question: prove a trigonometric identity

I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu

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Structured question: geometric progression with two given terms

I am in SS 3. Give me a structured geometric progression question where two non-consecutiv

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Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

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Find the coefficient command word: binomial expansion

I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia

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Quiz me on logic symbols and their meanings

I am in SS 3. Quiz me by giving me logic symbols one at a time, such as negation, conjunct

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Structured question: arrangements with a restriction

I am in SS 3. Give me a structured permutations question where letters or people must be a

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Structured question: choosing a committee with a condition

I am in SS 3. Set me a structured combinations question where a committee must be chosen f

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