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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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675 prompts matching "Raising a complex number to a power by de Moivre's theorem"

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

Practice: Deciding whether root 16 is rational or irrational

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

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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Spot My Mistake: Rationalising and then cancelling a common factor

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Worked Example: Why multiplying by the conjugate clears the surd

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

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Final Revision: Checking a conjugate answer by multiplying back

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Worked Example: Squaring both sides safely when solving a surd equation

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Practice: Solving an equation with a surd on each side

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Spot My Mistake: Solving a surd equation that leads to a quadratic

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

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

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Practice: Testing a set for closure under multiplication

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Explain Back: Testing the integers for closure under division

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

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Explain Back: What it means for an operation to be associative

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Show All Working: Using distributivity to simplify an expression

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Learn: What an identity element is

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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