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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "Stating the order of a product before working it out"

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Practice: Why an identity element must work from both sides

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

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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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Practice: A fractional index with numerator one, read as a root

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Final Revision: Converting an answer back out of index form

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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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Practice: Evaluating log to base 2 of 8

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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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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Common Mistakes: A logarithmic equation that becomes a quadratic

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

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

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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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Common Mistakes: Proving the sum formula by pairing the terms

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