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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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307 prompts matching "Why simultaneous linear-quadratic systems can have two solutions"

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

Adding two algebraic fractions with different denominators

I am in SS 1. Quiz me with 3 short Additional Maths questions on adding two algebraic frac

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Subtracting two algebraic fractions

I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno

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Factorising a quadratic with a coefficient in front of x squared

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on fact

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Algebraic long division of a simple polynomial by a linear factor

I am in SS 1. Quiz me with 4 short Additional Maths questions on dividing a simple cubic e

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Worked Example: Why the square root of a non-square whole number is irrational

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

Act as my SS1 Further Mathematics tutor. Work a question on the decimal expansion of an ir

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WAEC Prep: Pi and root 2 as the two best-known irrational numbers

Act as my SS 1 Further Mathematics teacher setting an examination question. Give me a ques

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Common Mistakes: Why a rational number added to an irrational one stays irrational

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on why

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Worked Example: What makes two surds equal

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Quiz: Reducing two surds to the same root in order to compare them

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

Act as my SS1 Further Mathematics tutor. Work a question on why root 8 and root 2 turn out

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Show All Working: Deciding whether two given surds are equal without a calculator

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on deciding whethe

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Final Revision: Surds that cannot be combined at all

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of s

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Worked Example: Adding two surds that simplify to the same root

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Common Mistakes: Expanding the product of two surd brackets

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Spot My Mistake: Rationalising and then cancelling a common factor

Act as my SS1 Further Mathematics tutor. Work a question on rationalising and then cancell

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Worked Example: Why multiplying by the conjugate clears the surd

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Spot My Mistake: Solving a surd equation that leads to a quadratic

Act as my SS1 Further Mathematics tutor. Work a question on solving a surd equation that l

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Final Revision: Why closure is checked before any other property

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Final Revision: Why brackets matter when an operation is not associative

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