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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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730 prompts matching "Cambridge-style structured question: line meets a curve"

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Worked Example: Solving an indicial equation where one side must be factorised first

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

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Worked Example: Writing an index statement as a logarithm

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Show All Working: The common logarithm, to base ten

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Worked Example: The law for the logarithm of a quotient

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Show All Working: Solving a simple logarithmic equation

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

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Show All Working: Comparing logarithms given in different bases

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

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Show All Working: Deciding whether a given number is a term of a sequence

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Worked Example: Finding the common difference of an arithmetic progression

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

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

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Show All Working: The sum of the terms lying between two given positions

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Worked Example: Finding the common ratio of a geometric progression

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Show All Working: A geometric progression with a fractional common ratio

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

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Show All Working: The sum to infinity of a geometric progression, and when it exists

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Worked Example: Adding or subtracting the same number on both sides

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Show All Working: Writing the solution of an inequality as a set

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