503 prompts matching "A geometric progression with a fractional common ratio"
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Structured question: quadratic formula with exact surd answer
I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa
Find the value of k: quadratic with equal roots
Set me an Additional Maths exam question of the type 'find the value of k for which the eq
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Common Mistakes: Writing down the roots once the brackets are found
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Common Mistakes: Checking a completed square by expanding it again
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Common Mistakes: A sign error in the formula, and how to catch it
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Common Mistakes: Roots that are reciprocals of one another
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Common Mistakes: A symmetric function needing the sum and product twice over
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Common Mistakes: Multiplying one polynomial by another
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Common Mistakes: The degree of the quotient and of the remainder
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Common Mistakes: The remainder theorem applied to a quartic
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Common Mistakes: Using the factor theorem before dividing
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Common Mistakes: Factorising fully, and knowing when to stop
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Common Mistakes: A cubic equation arising from a volume problem
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Common Mistakes: Translating a symbolic statement back into English
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Common Mistakes: Comparing two statements by their truth tables
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Common Mistakes: Writing the converse, inverse and contrapositive of one statement
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Common Mistakes: Simplifying a compound statement using the laws
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Common Mistakes: Deciding between tautology, contradiction and contingency
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