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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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552 prompts matching "Finding a missing coefficient from a stated sum of roots"

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Final Revision: Evaluating a numerical expression using the index laws

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Quiz: A negative index on a fraction, and turning it upside down

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

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Quiz: An indicial equation that becomes a quadratic in a power

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Practice: Solving 2 to the power x equals 32

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Show All Working: A word problem that leads to an indicial equation

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Common Mistakes: An indicial equation solved by substitution

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Final Revision: Checking an indicial solution by substitution

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Quiz: Writing a logarithm as an index statement

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Show All Working: The common logarithm, to base ten

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Practice: Combining two logarithms into one

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Show All Working: Solving a simple logarithmic equation

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Show All Working: Comparing logarithms given in different bases

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Common Mistakes: A logarithmic equation that becomes a quadratic

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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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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Common Mistakes: An arithmetic progression with a negative common difference

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Final Revision: Inserting an arithmetic mean between two numbers

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Final Revision: A savings problem modelled by an arithmetic progression

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