739 prompts matching "Structured question: quadratic formula with exact surd answer"
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Explain Back: Multiplying root a by root b
I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let
Common Mistakes: Rationalising a denominator of the form root a over root b
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Practice: Rationalising a denominator of the form a plus root b over c minus root d
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Worked Example: Reading the symbol used for a binary operation
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Practice: A binary operation set out as a table
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Explain Back: A binary operation defined on the integers
I have just studied a binary operation defined on the integers in my SS1 Further Mathemati
Common Mistakes: A binary operation that is ordinary addition in disguise
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Worked Example: Testing the even numbers for closure under addition
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Practice: Testing a set for closure under multiplication
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Explain Back: Testing the integers for closure under division
I have just studied testing the integers for closure under division in my SS1 Further Math
Common Mistakes: Closure on a set of three elements under a stated rule
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Worked Example: Testing a*b against b*a for a given rule
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Explain Back: What it means for an operation to be associative
I have just studied what it means for an operation to be associative in my SS1 Further Mat
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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Practice: Multiplication distributing over addition in ordinary arithmetic
Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication
Explain Back: Showing distributivity fails by a counter-example
I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma
Common Mistakes: Distributivity on a set of three elements
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