Download 1 number systems 2015

AEA 267
Name ____________________________________
2015 6th Grade Math Bee
School ___________________________________
The Number System
I-1
Student Number_______________________
1. Wendy wants to tile her countertop using square tiles. The countertop
measures 36 inches by 120 inches. Wendy factors each dimension to help
her select a size. What is the largest square tile Wendy can use without
making any cuts?
Score
1. ______ x ______
in2 tile
● 36 = 2 x 2 x 3 x 3
● 120 = 2 x 2 x 2 x 3 x 5
2. Don has some stamps. He can divide the stamps into even stacks when
putting 5, 7, or 10 stamps in a stack. Which of these must be true about
the number of stamps? (Write the letter of the correct choice in the space
provided.)
A.
B.
C.
D.
2. ________________
The number of stamps is a multiple of 70
The number of stamps is a multiple of 50
The number of stamps is greater than 100
The number of stamps is greater than 300
3. Which point on the number line has the least absolute value?
3. point _________
4. Elvin bought three CDs for $12.79 each and a book for $8.95. He paid with
a $50 bill. How much change should Elvin receive back from the cashier?
(Note: Sales tax is already included in the price.)
4. $______________
5. The lowest point in the United States is in Death Valley, California, at 282
feet below sea level. The highest point in Florida is in Britton Hill, at 345
feet above sea level. Which statement describes the difference in the
elevations of the lowest point in the United States and the highest point in
Florida? (Write the letter of the correct choice in the space provided.)
5. ________________
A. The elevation of the lowest point in the United States is 63 feet
lower than the elevation of the highest point in Florida.
B. The elevation of the lowest point in the United States is 282 feet
lower than the elevation of the highest point in Florida.
C. The elevation of the lowest point in the United States is 345 feet
lower than the elevation of the highest point in Florida.
D. The elevation of the lowest point in the United States is 627 feet
lower than the elevation of the highest point in Florida.
(OVER)
I-1 The Number System, page 2
6. The coordinates for a line segment on a coordinate plane are located at
(-2,4) and (12,4). What is the length of this segment?
6. ________________
units
7. Sara is making spirit ribbons for her soccer team. Each one needs a piece
3
of ribbon that is foot long. How many spirit ribbons can she make if she
4
1
has 8 feet of ribbon?
4
7. ________________
spirit ribbons
8. Which equation matches the visual fraction model below? (Write the
letter of the correct choice in the space provided.)
8. ________________
y
3
4
3 2
= y
4 5
2
3
B.
+y=
4
5
2
3
C.
y=
4
5
2 3
D.
- =y
5 4
A.
9. Machines S and T were both cleaned this week. Machine S is cleaned
every 12 weeks. Machine T is cleaned every 8 weeks. What is the fewest
number of weeks that will pass before both machines are cleaned again in
the same week?
10. Order the list of numbers is in order by absolute value from least to
greatest?
16, -1, -4, 1.1, 25, 1.3, -19
9. ________________
weeks
10. ________________
(least)
________________
________________
________________
________________
________________
________________
(greatest)