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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 "Explain the factorisation method back to me"

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Common Mistakes: Distributivity on a set of three elements

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Learn: What an identity element is

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Practice: Why an identity element must work from both sides

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Show All Working: An element with no inverse under a given operation

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Common Mistakes: Checking an inverse by working the operation both ways

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Learn: Reading index notation, the base and the exponent

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

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Quiz: An indicial equation that becomes a quadratic in a power

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Learn: The definition of a logarithm as the index

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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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Spot My Mistake: The logarithm of the base itself

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Learn: The law for the logarithm of a product

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Quiz: The law for the logarithm of a power

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Practice: Combining two logarithms into one

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

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Learn: The change of base formula

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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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Common Mistakes: A logarithmic equation that becomes a quadratic

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