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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "full function exam question with three parts"

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

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

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Practice: Solving 2 to the power x equals 32

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Common Mistakes: An indicial equation solved by substitution

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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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Common Mistakes: Reading a logarithm from a table

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Practice: Combining two logarithms into one

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Explain Back: Splitting a single logarithm into several

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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

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Explain Back: A logarithmic equation written in two different bases

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Common Mistakes: A logarithmic equation that becomes a quadratic

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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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Common Mistakes: The Fibonacci sequence and the rule behind it

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Practice: Finding the twentieth term of a given arithmetic progression

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Explain Back: Finding the first term from two given terms

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Practice: Finding n when the sum of an arithmetic progression is given

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Explain Back: Finding the first term from the sum and the common difference

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