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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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722 prompts matching "Checking a completed square by expanding it again"

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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Solving a double inequality

I am in SS 1. Quiz me with 5 short Additional Maths questions on solving a double inequali

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Quiz me rapid-fire on expanding and factorising

I am in SS 1. I'm going to explain a rapid-fire quiz alternating between expanding a brack

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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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Quiz: Writing a recurring decimal as a fraction to show it is rational

Act as my SS1 Further Mathematics tutor and quiz me on writing a recurring decimal as a fr

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Explain Back: Where the surds sit on the number line

I have just studied where the surds sit on the number line in my SS1 Further Mathematics c

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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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Learn: Simplifying root 72 into its simplest form

You are my personal SS1 Further Mathematics tutor. Teach me simplifying root 72 into its s

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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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Practice: Rationalising a denominator with a whole number multiplying the surd

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

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Worked Example: Why multiplying by the conjugate clears the surd

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

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Practice: Solving an equation with a surd on each side

Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving an equ

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WAEC Prep: Writing a binary operation rule from a description in words

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

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Common Mistakes: A binary operation that is ordinary addition in disguise

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

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Worked Example: Testing the even numbers for closure under addition

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

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Quiz: Testing the odd numbers for closure under addition

Act as my SS1 Further Mathematics tutor and quiz me on testing the odd numbers for closure

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Show All Working: Showing a set is not closed by a single counter-example

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on showing a set i

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Learn: What it means for an operation to be commutative

You are my personal SS1 Further Mathematics tutor. Teach me what it means for an operation

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Worked Example: Testing a*b against b*a for a given rule

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

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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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