Grade 5
1997 Team Round 2
Team Rounds in the Math Masters Competitions are timed (15 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.
1. Mary and Bill each worked a different number of days but earned the same amount of money. Use these clues to determine how many days Bill worked:
Mary earned $20 a day.
Bill earned $15 a day.
Bill worked three more days than Mary.
2. Melissa served $900.00 worth of dinners in a busy restaurant. She received tips in the amount of $100.00. How much less did Melissa receive in tips than she would have if she had received her expected rate of 15% of the cost of the dinners?
3. Three coins are selected from a collection consisting of 2 dimes, 2 quarters, and 2 half dollars. How many different sums are possible?
4. We start with ten ounces of fruit drink that is 80% fruit juice. How many ounces of water must be added to it to make a fruit drink that is 50% fruit juice?
5. Linda purchased three blouses and two scarves for $82.75. Each scarf was the same price. Also, each blouse was the same price. Five scarves would have cost $64.75. What was the cost of one blouse?
6. One hundred eighty students attend a school dance. Four-ninths of them are boys. If twenty boys and girls leave, what fraction of the students remaining at the dance are boys? Express your answer in lowest terms.
7. Evaluate:
Give your answer as a fraction in lowest terms.
8. Below is the start of a 100 chart. Also shown is a part of the chart (which has been enlarged). Determine what number should go in the square marked with an X.
For problems number 9 and number 10, use the fact that there are 640 acres in a square mile.
9. How many acres are in a rectangular plot of ground 1/4 mile wide by 1/2 mile long?
10. A rectangular piece of property contains 40 acres and is 1/2 mile long. What is the width of the property? Express your answer as a fraction in lowest terms.
Math Masters of Minnesota
301 NW Third Street
Austin, MN 55912 |
Phone: (507) 437 9366
Fax: (507) 437 6838
E-mail: mathmasters@austin.k12.mn.us |
