Math Olympiad 79

Question 1

A freight train travels 1 mile in 1 minute 30 seconds. At this rate, how many miles will the train travel in 1 hour?

4 minutes

Answer:40 miles

Question 2

A person has four special coins whose values in cents are shown below. How many different amounts can the person make using one or more of the coins?

5 minutes

Answer:15

1 3

5 10

Question 3

If I add 5 to 1/3 of a number, the result is ½ of the number. What is the number?

5 minutes

Answer: 30

Question 4

The length of AE is 20 cm. B is the midpoint of AC, C is the midpoint of BD, and D is the midpoint of BE. What is the length of DE in cm?

6 minutes

Answer: 8 cm

20

A B C D E

Question 5

What simple fraction is equal to the complex fraction shown below?

6 minutes

Answer:31

7

31

2

14

1