1,018 prompts matching "Practice: An operation that is not commutative, with a counter-example"
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Common Mistakes: A sign error in the formula, and how to catch it
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s
Common Mistakes: A symmetric function needing the sum and product twice over
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Show All Working: A simultaneous pair in which the second equation is a circle
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous
Common Mistakes: A word problem giving one linear and one quadratic equation
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Practice: Polynomial notation such as P of x
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Common Mistakes: The degree of the quotient and of the remainder
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Final Revision: A word problem that uses the remainder theorem
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Practice: Factorising a quartic as the product of two quadratics
Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a
Common Mistakes: Factorising fully, and knowing when to stop
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Final Revision: Checking a factorisation by expanding it again
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Quiz: A cubic with three distinct real roots
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Show All Working: Solving a cubic that must first be rearranged
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on solving a cubic
Worked Example: Sentences that are not propositions
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Show All Working: Translating an English sentence into logical symbols
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on translating an
Common Mistakes: Translating a symbolic statement back into English
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Quiz: Disjunction and the inclusive or
Act as my SS2 Further Mathematics tutor and quiz me on disjunction and the inclusive or. A
Practice: Negation combined with a compound statement
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Common Mistakes: Writing the converse, inverse and contrapositive of one statement
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Common Mistakes: Deciding between tautology, contradiction and contingency
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