Category 4 Arithmetic Meet #5 Worksheet With Answers - 2001 Page 9

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Category 4
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Arithmetic
Meet #5, March/April 2005
1. A group of 8 astronauts has been training for a mission to mars, but only 5 of
them will actually get to go to mars. How many different groups of 5 astronauts
can be chosen from the 8 astronauts?
2. Peter has a fair number cube with whole numbers 1 through 6 and a fair spinner
with whole numbers 1 through 10. If he rolls the cube and spins the spinner, what
is the probability he gets a prime number in both places?
Express your answer as a reduced fraction.
3. Señor Generosa is going to give away a total of $28 to students in his math
class. For each proper factor of 28, there will be a prize of that number of dollars.
He will pick names at random from a hat, without replacement, and the prizes will
be given out in order from least to greatest. If there are 28 students in Señor
Generosa’s class, how many different ways can the money be given out?
(Reminder: A proper factor of a number is any factor besides the number itself.)
Answers
1. _______________
2. _______________
3. _______________

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