Math Olympiad 3

Math Olympiad 3( Week 52 Final Exam)

1. David is the oldest. Eric is younger than Richard and Richard is younger than Ed. Can you make the following conclusion that "Eric is older than David"?

Yes No

2. Compare the two things and decide if one is bigger than the other or if they are equal.

I	5 work-days.
II	38 work-hours.

(Note that 1 work-day = 8 work-hours)

A) I is a longer time than II.

B) I is a shorter time than II.

C) I is the same length of time as II.

3. Compare the two things and decide if one is bigger than the other or if they are equal.

I	3 years.
II	38 months.

A) I is a longer time than II.

B) I is a shorter time than II.

C) I is the same length of time as II.

4. Compare the two things and decide if one is bigger than the other or if they are equal.

I	3 yards.
II	10 feet.

A) I is a longer than II.

B) I is a shorter than II.

C) I is the same length as II.

5. Compare the two things and decide if one is bigger than the other or if they are equal.

I	2 gallons.
II	8 quarts.

(Note that 1 gallon = 4 quarts).

A) I is a larger volume than II.

B) I is a smaller volume than II.

C) I is the same volume as II.

6. Compare the two things and decide if one is bigger than the other or if they are equal.

I	3 quarts.
II	7 pints.

(Note that 1 quart = 2 pints).

A) I is a larger volume than II.

B) I is a smaller volume than II.

C) I is the same volume as II.

7. Laura and Nick share some cards in the following way: at the first sharing, Laura gets 1 card, Nick gets 2 cards; at the second sharing, Laura gets 2 cards, Nick gets 3 cards; at the third sharing, Laura gets 3 card, Nick gets 4 cards; ... After the first 8 sharings, how many more cards will Nick have than Laura?

8. Combine all of the numbers and signs in different ways until you make an equation, or number sentence, that equals one of the answer choices.
333××

9. By flipping a page upside down, some page numbers still show the exact same numbers. Examples of such page numbers are 1, 69, 808,.... How many such numbers are there from 1 to 10 inclusively?

10. There are four horses. It will take the 1st horse 6 minutes to cross the grassland. It will take the 2nd horse 8 minutes to cross the grassland. It will take the 3rd horse 8 minutes to cross the grassland. It will take the 4th horse 5 minutes to cross the grassland. How long (in minutes) will it take for all four horses to cross the grassland?

11. A total of 10 people will go on a picnic. If each person uses 4 napkins, at least how many napkins are needed?

12. Combine all of the numbers and signs in different ways until you make an equation, or number sentence, that equals one of the answer choices.
579−×

13. Combine all of the numbers and signs in different ways until you make an equation, or number sentence, that equals one of the answer choices.
149×−

14. What fraction is represented by the shaded circle below?

15. Figure out how the first two sets of numbers are related and then select the number from the choices to fill the question mark so that the third set of numbers have the same relationship as the first two sets.

16. Mary is allowed to watch her favorite television show, which broadcasts 4 times a week, and 3 ads at a time, and each ad lasts for 1 minute. How many minutes of commercials in a week for the show?

17. Helen had $73. She spent $31. How much money does she have left? $

18. There are a total of 10 wood blocks and a seesaw. Steve puts 1 block on one side of the seesaw and the rest blocks on the other side. Each wood block weighs equally. How many blocks need to be moved from one side to the other side to make the seesaw balance?

19. A band has only trumpet and drum players. The number of people who play drums is 2 times the number of people who play trumpets. How many players in the band if there are 3 trumpet players?

20. Andy has 2 sisters and 2 brothers. Andy's parents give each child 4 dollars of allowance each week. What is the total allowance (in dollars) for all the children each week?