552 prompts matching "Finding a missing coefficient from a stated sum of roots"
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Show All Working: Evaluating a repeated operation such as a*(b*c)
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on evaluating a re
Common Mistakes: A binary operation that is ordinary addition in disguise
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a b
Final Revision: Deciding whether a given rule really is a binary operation
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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
Act as my SS1 Further Mathematics tutor. Give me five practice questions on testing a set
Show All Working: Showing a set is not closed by a single counter-example
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on showing a set i
Final Revision: Why closure is checked before any other property
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Practice: An operation that is not commutative, with a counter-example
Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t
Show All Working: An operation that is associative but not commutative
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on an operation th
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
Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication
Show All Working: Using distributivity to simplify an expression
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on using distribut
Final Revision: Why distributivity links two operations rather than one
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Show All Working: An element with no inverse under a given operation
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on an element with
Common Mistakes: Checking an inverse by working the operation both ways
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Final Revision: Identity and inverse together, and what they give the set
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Practice: The law for a power raised to another power
Act as my SS1 Further Mathematics tutor. Give me five practice questions on the law for a
Show All Working: Simplifying an expression with letters and indices
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on simplifying an
Common Mistakes: Why the index laws need the bases to match
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on why