Math Olympiad 3

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

Yes No

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

I	4 work-days.
II	33 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	2 years.
II	15 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	5 yards.
II	15 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	10 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.

8. 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 86 inclusively?

9. There are four horses. It will take the 1st horse 8 minutes to cross the grassland. It will take the 2nd horse 7 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?

10. A total of 6 people will go on a picnic. If each person uses 2 napkins, at least how many napkins are needed?

11. When 18 is subtracted from a certain number, the answer is 19. What is the number?

13. Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
123422343234423⇒

14. Find the pattern and fill the blank. 490, 485, 480, 475, 470, 465, .

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

16. 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.

17. Sofia is allowed to watch her favorite television show, which broadcasts 2 times a week, and 2 ads at a time, and each ad lasts for 1 minute. How many minutes of commercials in a week for the show?

18. There are a total of 8 wood blocks and a seesaw. Rene puts 3 blocks 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. Eric has 3 sisters and 1 brother. Eric's parents give each child 2 dollars of allowance each week. What is the total allowance (in dollars) for all the children each week?