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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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674 prompts matching "Expanding cos of 3 theta using 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.

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

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Learn: Why a surd is never left in the denominator

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Show All Working: Checking a rationalised answer by decimal approximation

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

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

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Spot My Mistake: Reading closure off an operation table

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Quiz: Reading commutativity off a symmetrical operation table

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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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Spot My Mistake: Finding the inverse of a given element

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Show All Working: An element with no inverse under a given operation

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Final Revision: Identity and inverse together, and what they give the set

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Learn: Reading index notation, the base and the exponent

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Quiz: The law for dividing powers of the same base

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Common Mistakes: Why the index laws need the bases to match

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Show All Working: Simplifying an expression that mixes the index types

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Common Mistakes: Writing a root as a fractional index before simplifying

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

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Practice: Evaluating log to base 2 of 8

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Explain Back: The logarithm of one, in any base

I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.

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