Category 4 Arithmetic Meet #5 Worksheet With Answers - 2001 Page 5
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Arithmetic
Meet #5, April 2003
1. Octahedral dice have eight congruent faces numbered 1 through 8. If two
octahedral dice are rolled, what is the probability that the sum of the numbers on
the top faces of the dice is at least 10 (10 or more)? Express your answer as a
fraction in lowest terms.
2. Nine middle school students collected signatures to petition their principal for a
field trip to the Mathematicians’ Hall of Fame. The average number of signatures
collected by the nine students was 23. One of the students then lost a piece of
paper that had 18 signatures on it. If the average number of signatures collected
by the nine students is recalculated after the loss of the paper, what would the new
average be? Express your answer to the nearest whole number.
3. On the Greedy Grab game show, a contestant who answers a question correctly
is blindfolded and draws two bills from a bag. If the bag is always stocked with 1
one-hundred dollar bill, 2 fifty-dollar bills, 3 twenty-dollar bills, and 4 ten-dollar
bills, what is the probability that a contestant who answers a question correctly
will draw at least one hundred dollars total? Express your answer as a fraction in
lowest terms.
Answers
1. _______________
2. _______________
3. _______________
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