Family Mathematics Problem Solving
Sponsored by
The Somerville Mathematics Fund

The Family Mathematics problems are written for adults and children to work on together. They are not meant as another homework, instead it is an opportunity for you to work together to solve a mathematical problem. This Month’s Family Mathematics Problems are about large numbers and money. We hope you will enjoy working together to solve these problems. A link for the solutions is listed below.
The Somerville Mathematics Fund was founded in 2000 to celebrate and encourage mathematics achievement in the city of Somerville. We offer scholarships to students and grants to teachers.
For more information, call 617-666-0666 (evenings)
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From December 2001    



Family Mathematics Problem Solving: Facts about Money
Money, Money, Money.... Lots of Dollars
Some interesting facts about money:

Before the American Revolution, many different kinds of money were used. People brought money when they immigrated and some colonies issued their own money. As a new country, one of the things that Congress needed to do was to decide on what currency we would use. In 1785, the dollar was adopted and the first dollar minted was a coin. We did not have paper dollars until 1861.
Today, what most of us call a dollar bill is really a Federal Reserve Note. Up until 1969, there were bills of large denominations circulated ($500, $1,000, $5,000, and $10,000). Now the largest bill in circulation is $100. The largest bill every printed was for $100,000 (it had Woodrow Wilson’s portrait on the front) to be used only by banks transfering funds; you could not use it in the local store! Up until 1957, the US government issued Silver Certificates which could be exchanged for silver, but exchanging for silver was outlawed in 1968 because the government’s supply of silver was becoming depleted by people wanting silver for investment. Now the currency that the government issues is Federal Reserve Notes.
Bills are smaller than in “the olden days.” From 1914 to 1929, the dimensions were 7.42 by 3.13 inches, now they are 6.14 inches by 2.61 inches. Each bill is .0043 inches thick. One thousand new bills weigh 2.2 pounds (after circulating, they weigh closer to 2.3 pounds).
You will probably want to use a calculator when solving this month’s problems. You need to know that one mile is 5,280 feet long.


Family Mathematics Problem Solving: Grade 4, 5, 6, 7, 8


Recently Tom Brady, the Patriot’s quarterback, signed a new four-year contract. It is rumored that his signing bonus was $4,000,000. A bonus is a lump sum payment. What if Brady was given the choice of a mile-high pile of one dollar bills or four million one dollar bills as his bonus, which should he choose and why?Sixth, Seventh and Eighth Grade Problems
If Tom Brady were to neatly stack the bonus (made up of one dollar bills) in order to carry it home, how large a box would he need to carry it in (no wasted space)?
As a professional athlete, Tom Brady lifts weights. Could he lift his bonus once it was in the above box? Why or why not?

 Family Mathematics Problem Solving: Grade 6, 7, 8
If Tom Brady were to neatly stack the bonus (made up of one dollar bills) in order to carry it home, how large a box would he need to carry it in (no wasted space)?
As a professional athlete, Tom Brady lifts weights. Could he lift his bonus once it was in the above box? Why or why not?