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On The Podium

In how many different ways can the first, second and third prize winners be selected from a group of 8 people running a race? [assume that there are no ties].

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Two Trains

Two trains are approaching each other from opposite directions with the speeds 10 miles per hour and 20 miles per hour, and heading for a collision. If they are a quarter mile apart, how long will it take for them to collide?

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Pick Teams

From a group of 5 men and 7 women, in how many different ways can a team of 2 men and 3 women be formed?

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What’s My Age Again

A father’s age is twice the sum of the ages of his four sons. In 30 years, the total of the sons’ ages will be twice the age of their father. How old is the father now?

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Scientific Notation

What is 2004.28 in scientific notation?

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Fahrenheit to Celsius

If the temperature drops by 18o Fahrenheit in a given day, how much did it drop in degrees Celsius?

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Mean and Standard Deviation

If the mean and standard deviation of the data set {12,14,19,x} are 15 and √26, respectively, x = ?

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Average Height

If the heights of three people are 5’8”, 5’2”, and 6’2”, what is their average height?

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Call It In The Air

What is the probability that a fair coin will show “heads” 2 out of 4 times?

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Best of a Series

Two teams are playing a best-of-five series, which ends as soon as either team wins three games. If the two teams are equally likely to win a game, regardless of the outcomes of the others, what is the probability that the series ends after the first three games?

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