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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 "determine whether the argument 'if p then q; p; therefore q' is valid using a tr"

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

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Final Revision: Why closure is checked before any other property

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Common Mistakes: Subtraction as an example of neither law

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Final Revision: Why distributivity links two operations rather than one

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Spot My Mistake: Finding the inverse of a given element

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

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Practice: The law for a power raised to another power

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

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Spot My Mistake: The logarithm of the base itself

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

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

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Worked Example: Finding the common difference of an arithmetic progression

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Practice: Finding n when the sum of an arithmetic progression is given

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Common Mistakes: Proving the sum formula by pairing the terms

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Spot My Mistake: Finding the common ratio when the third and sixth terms are given

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

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Practice: Finding n when the sum of a geometric progression is given

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