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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 "Reporting an area computed below the x-axis as a negative distance travelled"

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

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Learn: Why any non-zero number to the power nought is one

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

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Explain Back: An indicial equation with the unknown in the exponent on both sides

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Spot My Mistake: An indicial equation involving fractional bases

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Learn: The definition of a logarithm as the index

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Worked Example: Writing an index statement as a logarithm

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Quiz: Writing a logarithm as an index statement

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Spot My Mistake: The logarithm of the base itself

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Show All Working: The common logarithm, to base ten

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Final Revision: The characteristic and the mantissa of a logarithm

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Spot My Mistake: Evaluating an expression using the laws of logarithms

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

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Quiz: Evaluating log to base 3 of 7 by change of base

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

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Spot My Mistake: A logarithm to base e, the natural logarithm

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

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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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