Recent Changes

of October 1,8, 2012
See if you can solve the following problems. If you need help, visit the Hints page.
1. The numbers 2,4,6 and 8 are a set of four consecutive even numbers. Suppose the sum of five consecutive even numbers is 320. What is the smallest of the five numbers?

Refer to the hints below only if you need some suggestions for solving this week's problems.
1. Try a simple problem with 2,3 or 4 children.
2. Average speedWhat is the total distance divided byaverage of the total time.five numbers?
2. How many times larger than 600 square feet is 600 square yards?
3. IfWork from the sum of the digits of a numberbottom up.
4. What is divisible by 9, the largest number is also divisible by 9.
4. Comparethat the terms oftwo-digit numbers can be divided by?
5. Try packaging some marbles in the sequence with multiples of 3, starting with 3.larger boxes and examine what is left over.
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Week of October 1, 2012
See if you can solve the following problems. If you need help, visit the Hints page.
1. AThe numbers 2,4,6 and 8 are a set of marbles can be divided in equal shares among 2,3 4,5 or 6 children with no marbles left over.four consecutive even numbers. Suppose the sum of five consecutive even numbers is 320. What is the least numbersmallest of marbles that the set could have?five numbers?
2. A motorist made a 60-mile trip averaging 20 miles per hour. OnAmy can move 600 square yards of grass in 1 and 1/2 hours. At this rate, how many minutes would it take her to mow 600 square feet?
3. Express the return trip, he averaged 30 miles per hour. What wasextended fraction at the motorist's average
speed for the entire trip?
3. The four digit numeral 3 A A 1 is divisible by 9. What digit does A represent?right as a simple fraction in lowest terms. (See diagram on handout).
4. If we count by 3s startingThere are many numbers that divide 109 with 1, the following sequence is obtained.
1, 4, 7,10.... What is the 100the numbera remainder of 4. List all two-digit numbers that have that property.
5.A dealer packages marbles in two different box sizes. One size holds 5 marbles and the sequence?other size holds 12 marbles. If the dealer packaged 99 marbles and used more than 10 boxes, how many boxes of each size did he use?

Week of October 1, 2012
See if you can solve the following problems. If you need help, visit the Hints page.
set could
have? have?
2. A motorist made a 60-mile trip averaging 20 miles per hour. On the return trip, he averaged 30 miles per hour. What was the motorist's average
speed for the entire trip?

Solutions to Olympiad Trial 2.
1. She paid out $10 + $20 = $30. She received $15 + $25 = $40. She made $10.
2. There are 17 nickels and 13 quarters in the 30 coins.
3. There are 144 pieces that can be cut from the sheet.
4. The fourth score is 154.
5. The digit "1" will appear 200 times in the page numbers.be posted on September 12.

if you do not know how to solve problems in Trial Olympiad 3.
Trial Olympiad 3need some suggestions for solving this week's problems.
1. Try a simple problem with 2,3 or 4 children.
2. Average speed is the total distance divided by the total time.

Trial 2 ~ WeekWeek of 5/14/12October 1, 2012
See if you can solve the following problems. If you need help, visit the Hints page.
set could
have?
motorist's average
speed for the entire trip?
3. The four digit numeral 3 A A 1 is divisible by 9. What digit does A represent?

Watertown Public Schools TrialCunniff School Math Olympiad
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5 who may want to participate in the Watertown Public Schools Math Olympiad which will take place beginning in September 2012.Olympiad. The Olympiad Trial will provide
math problems which will be part of the Olympiad. The Olympiad will be held five times during the school year.on a weekly basis. Students from all three schools (Cunniff, Hosmer and Lowell) will be broughtcome together on Friday of each week and will in collaborative tamsteams in order be posted bi-weeklyweekly on olympiadtrial.wikispaces.com the test. This experience will also help students decide if they would like to participate in the WPS Olympiad in September 2012.

Trial Olympiad 2.3.
Trial Olympiad 23
1. Act it out.
2. Try using half ofa simple problem with 2,3 or 4 children.
2. Average speed is the coins as nickels andtotal distance divided by the other half as quarters.total time.
3. How many square inches are there inIf the rectangular sheet 2 feetsum of the digits of a number is divisible by 3 feet?
4. If9, the average score for 4 games is 145, whatnumber is also divisible by 9.
4. Compare the total score forterms of the 4 games?
5. If you counted from 1 on, how frequently would "1" appear in the units place? tens place? hundreds place?sequence with multiples of 3, starting with 3.
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Week of 4/23/12
Answer Key will be posted on 5/7/12.5/14/12
See if you can solve the following problems. If you need help, visit the Hints page.
1. A girl bought a dog for $10.00, sold it for $15.00, bought it back for $20.00, and finally sold it for $25.00. Did the girl makeset of marbles can be divided in equal shares among 2,3 4,5 or lose money, and how much did she make or lose?
2. I have 30 coins consisting of nickels and quarters. The total value of the coins is $4.10. How many of each kind do I have?
3. Rectangular cards, 2 inches by 3 inches, are cut from a rectangular sheet 2 feet by 3 feet.6 children with no marbles left over. What is the greatestleast number of cardsmarbles that can be cut from the sheet?
4. In three bowling games, Alice scored 139, 143, and 144.set could
have?
2. A motorist made a 60-mile trip averaging 20 miles per hour. On the return trip, he averaged 30 miles per hour. What score will Alice need in a fourth game in order to have anwas the motorist's average score of 145
speed for allthe entire trip?
3. The four games?
5.digit numeral 3 A A book has 500 pages numbered 1, 2, 3, and so on. How many times1 is divisible by 9. What digit does A represent?
4. If we count by 3s starting with 1, the digit 1 appearfollowing sequence is obtained.
1, 4, 7,10.... What is the 100the number in the page numbers?sequence?