755 prompts matching "Check whether my exam layout would satisfy a Cambridge examiner"
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Quiz: Testing the odd numbers for closure under addition
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Practice: Testing a set for closure under multiplication
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Common Mistakes: Closure on a set of three elements under a stated rule
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Quiz: Reading commutativity off a symmetrical operation table
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Final Revision: Why brackets matter when an operation is not associative
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Quiz: Left distributivity and right distributivity
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Common Mistakes: Distributivity on a set of three elements
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Final Revision: Why distributivity links two operations rather than one
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Quiz: Finding the identity element from an operation table
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Practice: Why an identity element must work from both sides
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Final Revision: Identity and inverse together, and what they give the set
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Quiz: The law for dividing powers of the same base
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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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Final Revision: Evaluating a numerical expression using the index laws
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Quiz: A negative index on a fraction, and turning it upside down
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Practice: A fractional index with numerator one, read as a root
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Common Mistakes: Writing a root as a fractional index before simplifying
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