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oLahav

oLahav’s Tests


Math SATs- Hard Level, Test II

A test by Oren Lahav.

Test Questions
  1. Question
    The crepe store is having a sale- buy a first crepe for $T, and get any additional crepe for $J less than the first crepe. How much would n crepes cost in total?
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  2. Question
    Which of the following must be true if (x+y) ^{\frac{1}{20}}=(x-y) ^{\frac{-1}{20}}?
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  3. Question
    In the next North American tournament there are 12 more American than Canadian teams (only US and Canada are in). If there are c Canadian teams enrolled, what's the percentage of Canadian teams?
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  4. Question
    Find the slope of the line intersecting y=x ^2 -1 at (0, y1) and (2, y2).
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  5. Question
    Let & define the operation a&b=2a+b and $ define the operation a$b=5a-b. If 5&v=2v$4, find v.
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  6. Question
    The smallest number of a set of N consecutive integers is -3. If the sum of the integers is 4, find N.
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  7. Question
    A machine in a chairs factory will package a chair only of its weight is between 6 (9/10) and 7 (1/10). A chair weighing x was not packaged. What must be true about x?
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  8. Question
    Set A has a elements. Set B has b elements. There are n common elements. How many elements are in either A or B, but not both?
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