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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 "Teach me dividing complex numbers by rationalising with the conjugate"

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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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Worked Example: The law for the logarithm of a quotient

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Practice: Combining two logarithms into one

Act as my SS1 Further Mathematics tutor. Give me five practice questions on combining two

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Explain Back: Splitting a single logarithm into several

I have just studied splitting a single logarithm into several in my SS1 Further Mathematic

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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

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

Act as my SS1 Further Mathematics tutor. Give me five practice questions on the relation b

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Explain Back: A logarithmic equation written in two different bases

I have just studied a logarithmic equation written in two different bases in my SS1 Furthe

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

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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

I have just studied spotting the pattern in a sequence of squares or cubes in my SS1 Furth

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Explain Back: Finding the first term from two given terms

I have just studied finding the first term from two given terms in my SS1 Further Mathemat

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Worked Example: The alternative sum formula that uses the last term

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

I have just studied finding the first term from the sum and the common difference in my SS

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Worked Example: Which form of the sum formula to use when r is less than one

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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Explain Back: Solving a linear inequality that contains brackets

I have just studied solving a linear inequality that contains brackets in my SS1 Further M

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Common Mistakes: A double inequality such as 2 less than x less than 7

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