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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 "IGCSE Additional Maths Y11: What to do when a question cannot be started — Commo"

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Final Revision: Evaluating a numerical expression using the index laws

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Worked Example: Rewriting a negative index as a fraction

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

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Final Revision: Converting an answer back out of index form

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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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Worked Example: Writing an index statement as a logarithm

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Common Mistakes: Reading a logarithm from a table

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Final Revision: The characteristic and the mantissa of a logarithm

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Worked Example: The law for the logarithm of a quotient

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Final Revision: Proving a logarithmic identity from the laws

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

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Common Mistakes: A logarithmic equation that becomes a quadratic

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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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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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