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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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356 prompts matching "Practice: Converting a complex number from polar form back to a plus bi"

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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

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Show All Working: Classifying a mixed list of numbers as rational or irrational

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

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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Quiz: Subtracting one surd from another

Act as my SS1 Further Mathematics tutor and quiz me on subtracting one surd from another.

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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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Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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Common Mistakes: Rationalising a denominator of the form root a over root b

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

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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WAEC Prep: Expressing the answer in the form a plus b root c

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Final Revision: Checking a conjugate answer by multiplying back

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Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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Final Revision: A word problem that leads to an equation in surd form

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Quiz: Evaluating a*b from a given rule

Act as my SS1 Further Mathematics tutor and quiz me on evaluating a*b from a given rule. A

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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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

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Worked Example: Testing the even numbers for closure under addition

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