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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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273 prompts matching "Dividing by a purely imaginary number"

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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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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

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WAEC Prep: Ordering a list of surds by size

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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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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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Show All Working: Checking a rationalised answer by decimal approximation

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

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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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Final Revision: Checking a conjugate answer by multiplying back

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

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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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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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Common Mistakes: Checking an inverse by working the operation both ways

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Quiz: The law for dividing powers of the same base

Act as my SS1 Further Mathematics tutor and quiz me on the law for dividing powers of the

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Learn: Why any non-zero number to the power nought is one

You are my personal SS1 Further Mathematics tutor. Teach me why any non-zero number to the

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Learn: Solving an equation by writing both sides to the same base

You are my personal SS1 Further Mathematics tutor. Teach me solving an equation by writing

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Common Mistakes: An indicial equation solved by substitution

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Final Revision: Checking an indicial solution by substitution

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

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