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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "The minimum value of a quadratic found by completing the square"

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

Expanding a product of three brackets

I am in SS 1. I'm going to explain expanding a product of three linear brackets, such as (

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Factorising by taking out a common factor

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Factorising by grouping four terms

I am in SS 1. Teach me factorising an expression with four terms by grouping them in pairs

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Simplifying an algebraic fraction by factorising first

I am in SS 1. Teach me simplifying an algebraic fraction by factorising both the numerator

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Solving a linear inequality and showing the solution

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Changing the subject with a square or square root

I am in SS 1. Quiz me with 4 short Additional Maths questions on changing the subject of a

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Explaining the difference between an expression and an equation

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

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Common Mistakes: Expressing root 50 as a multiple of root 2

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

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Practice: Multiplying a whole number by a surd

Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplying a

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Learn: Why a surd is never left in the denominator

You are my personal SS1 Further Mathematics tutor. Teach me why a surd is never left in th

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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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Final Revision: Expressing a rationalised answer in the form a root b over c

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

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

Act as my SS1 Further Mathematics tutor. Work a question on simplifying the denominator on

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Final Revision: Deciding whether a given rule really is a binary operation

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

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Common Mistakes: Closure on a set of three elements under a stated rule

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

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Final Revision: Why closure is checked before any other property

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

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Quiz: Reading commutativity off a symmetrical operation table

Act as my SS1 Further Mathematics tutor and quiz me on reading commutativity off a symmetr

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Learn: What it means for one operation to distribute over another

You are my personal SS1 Further Mathematics tutor. Teach me what it means for one operatio

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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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