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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 "Expanding p plus q, all to the power n, as a probability model"

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Quiz: Rationalising a denominator of the form one over root 3

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Spot My Mistake: Rationalising and then cancelling a common factor

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Common Mistakes: Rationalising a denominator of the form root a over root b

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WAEC Prep: Expressing the answer in the form a plus b root c

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

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Common Mistakes: Subtraction as an example of neither law

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Learn: What it means for one operation to distribute over another

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Show All Working: Using distributivity to simplify an expression

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Final Revision: Identity and inverse together, and what they give the set

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Learn: Reading index notation, the base and the exponent

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

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Learn: The definition of a logarithm as the index

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Spot My Mistake: The logarithm of the base itself

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Learn: The change of base formula

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

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

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