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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "The polar form written as r cos theta plus i r sin theta"

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Final Revision: The characteristic and the mantissa of a logarithm

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

Learn: The law for the logarithm of a product

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Worked Example: The law for the logarithm of a quotient

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Quiz: The law for the logarithm of a power

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Spot My Mistake: Evaluating an expression using the laws of logarithms

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Final Revision: Proving a logarithmic identity from the laws

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Worked Example: Converting a logarithm to base ten so that tables can be used

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Quiz: Evaluating log to base 3 of 7 by change of base

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Practice: The relation between log a of b and log b of a

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Show All Working: Comparing logarithms given in different bases

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Final Revision: Using change of base to prove a stated relation

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Worked Example: Writing out the terms of a sequence from its nth term

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Quiz: Finding the nth term of a linear sequence

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Practice: Finding the nth term of a quadratic sequence

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Explain Back: Spotting the pattern in a sequence of squares or cubes

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Show All Working: Deciding whether a given number is a term of a sequence

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Final Revision: Describing a sequence in words and then in symbols

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Worked Example: Finding the common difference of an arithmetic progression

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Practice: Finding the twentieth term of a given arithmetic progression

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