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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