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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 "What the formula gives when the discriminant is negative"

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Worked Example: Why the square root of a non-square whole number is irrational

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

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Spot My Mistake: Dividing one surd by another

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Common Mistakes: Expanding the product of two surd brackets

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

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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Common Mistakes: Subtraction as an example of neither law

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Worked Example: Testing whether star distributes over plus

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

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

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Final Revision: Evaluating a numerical expression using the index laws

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Spot My Mistake: The logarithm of the base itself

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

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Final Revision: Proving a logarithmic identity from the laws

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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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Final Revision: Describing a sequence in words and then in symbols

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Practice: Finding the twentieth term of a given arithmetic progression

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

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Practice: Finding the eighth term of a given geometric progression

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