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Grade 5

1997 Individual Round 3

Charts, Graphs, Statistics, Probability

Individual Rounds in the Math Masters Competitions are timed (10 minutes), and calculators are allowed.

Note: Test Preparation Packets containing hundreds of problems (fact drills, individual and team) from previous years' competitions can be ordered from Math Masters of Minnesota.


The following table and accompanying circle graph present information about energy production in the United States in 1987.

Note that some of the information is missing from the table.

Source Percent
Natural gas 26.1
Crude oil
Coal 31.2
Nuclear electric 7.6
Hydroelectric
Natural gas
(liquid)
3.5

Use the above information to answer questions 1 and 2.

1. What is the measure (in degrees) of the central angle for the sector representing Coal?

2. What percent of total energy production was provided by Crude oil? Round answer to the nearest percent.


3. What is the sum of the mean, median, and mode of the following list of numbers?
4 5 10 6 10

Cummings Lodge is a small, growing suburb of a large city. The graph below shows the results of a recent survey of the 250 families living in this town.

For example, 20 families had no children and 10 families had one child each.

Use the above information to answer questions 4-8.

4. What is the total number of children living in Cummings Lodge?

5. How many families had six or more children?

6. What percent of families had fewer than 3 children?

7. A small land developer wants to build one house designed for the "typical" family. The survey results show that there are three children in the "typical" family. What percent of families can be classified as "typical"?

8. The town council will present a prize to one of the families living in Cummings Lodge. If the lucky family is selected at random, what is the probability that there are exactly five children in the family? Write your answer as a fraction in simplest form.


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