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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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522 prompts matching "De Moivre's theorem used with a negative index"

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

De Morgan's laws for sets

I am in SS 1. Teach me De Morgan's laws for sets, (A union B)' = A' intersection B' and (A

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Deriving the arithmetic series sum formula

I am in SS 1. Quiz me with 4 short Additional Maths questions on how the formula Sn = n/2

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Simplifying expressions with like and unlike terms

I am in SS 1. Teach me correctly identifying and collecting like terms in a longer algebra

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Common mistakes with composite and inverse functions

Teach me the most common mistakes SS1 students make with composite and inverse functions,

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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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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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Final Revision: Approximating a surd to three decimal places

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

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

Act as my SS1 Further Mathematics tutor and quiz me on reducing two surds to the same root

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WAEC Prep: Ordering a list of surds by size

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

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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

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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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Quiz: Rationalising a denominator of the form one over root 3

Act as my SS1 Further Mathematics tutor and quiz me on rationalising a denominator of the

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WAEC Prep: Rationalising a denominator inside a larger expression

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

Act as my SS1 Further Mathematics tutor and quiz me on rationalising a denominator of the

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Spot My Mistake: A binary operation defined on a set of three elements

Act as my SS1 Further Mathematics tutor. Work a question on a binary operation defined on

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

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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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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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WAEC Prep: A set closed under one operation but not another

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Practice: An operation that is not commutative, with a counter-example

Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t

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