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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 "Why completing the square always works"

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Worked Example: Reading the symbol used for a binary operation

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Worked Example: Testing the even numbers for closure under addition

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Final Revision: Why closure is checked before any other property

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Worked Example: Testing whether star distributes over plus

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Final Revision: Why distributivity links two operations rather than one

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

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

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Worked Example: The law for multiplying powers of the same base

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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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WAEC Prep: Why the logarithm of a negative number does not exist

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

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Explain Back: Spotting the pattern in a sequence of squares or cubes

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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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