Grade 6
1997 Team Round 1
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. The following information refers to the figure below.
Angle 1 measures 30°.
Angle 2 measure2 110°
Angle 4 measures 50°
Find the measure of angle 3.
2. Two numbers are in the ratio of 3 to 7 and have a sum of 50. What is the smaller of the two numbers?
3.
4. I am thinking of four consecutive counting numbers. The sum of the first three numbers is 50 more than the fourth number. Find the fourth number.
5. The following numbers are called Fibonacci numbers.
| 1, | 1, | 2, | 3, | 5, | 8, | 13, | 21, | 34, | 55, ... |
This list of Fibonacci numbers continues indefinitely.
Based on the pattern above, which of the following is also a Fibonacci number?
6. The picture below has six rows. If this pattern were continued downward to have 12 rows, how many more squares than happy faces would there be in the picture?
7. The area of the circle is one-sixth of the area of the square.
The area of the small rectangle is one-twelfth of the area of the square.
The perimeter of the square is 24 units.
What is the area of the shaded region?
8. Ms. Harrington asked her class of 32 sixth grade studetns what they had for breakfast that morning. In part, the results were as follows:
18 students had orange juice.
21 students had cereal.
5 students had neither orange juice nor cereal.
How many of these 32 students had both cereal and orange juice for breakfast?
9. Which of the choices below best represents the sentence:
One-half of a number is three more than twelve.
10. Susan can run a lap in 2 minutes. Lance can run a lap in 3 minutes. Merideth can run a lap in 4 minutes. If they all start running laps at point A at 3 p.m., what is the next time they will all be together again at point A?
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Phone: (507) 437 9366
Fax: (507) 437 6838
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