6th grade Quiz Bowl Round 2

An ice machine produces ice cubes that are  $\frac{5}{7}$  inch on each side.  

What is the volume, in cubic inches, of one ice cube produced by this ice machine?

•  $\frac{15}{21}$  

•  $\frac{25}{49}$  

•  $\frac{125}{323}$  

•  $\frac{125}{343}$  

The above swimming pool has a depth of $2\frac{1}{2}m$ , a width of  $5\ m$  ,  and a length of  $9\frac{1}{5}m$ . What is the amount of water needed to fill up HALF of the swimming pool?

•  $57\frac{1}{2}\ m^3$  

•  $115\ m^3$   

•  $90\frac{1}{10}\ m^3$  

•  $230\ m^3$  

For a summer party, Smith purchased 98 blow-pops and 56 bouncy balls to go in the party favor bags. Each guest will receive an equal amount of blow-pops and an equal amount of bouncy balls. There will be no blow-pops or bouncy balls left over.

What is the greatest number of guests Smith can invite to his party?

• 14 guests

• 16 guests

• 28 guests

• 32 guests

There are 15 marbles in a bag. If 20% of the marbles are yellow, how many are not yellow?

• 12 marbles

• 5 marbles

• 4 marbles

• 3 marbles

From the following ordered pairs, how many points will be plotted in Quadrant IV on the coordinate plane?

(1,5), (-2,6), (3,-4), (-3,-5), (-1, 0), (-9,-2)

• 0

• 1

• 2

• 3

Which visual model shows the shaded region for the expression 

 $\frac{2}{3}\div\ 1\frac{1}{3}?$  

• 
• 
• 
• 

A 3-foot wide sidewalk surrounds a rectangular flower bed. The flower bed is 8 feet wide by 10 feet long. What is the area of the sidewalk?

• 60 $ft^2$

• 63 $ft^2$

• 144 $ft^2$

• 224 $ft^2$

Juan has an average math grade of an 89 after five math tests. The table shows the grades of his first four math tests. What is Juan's grade on his 5th math test?

• 85

• 84

• 83

• 82

How is the phrase below written algebraically?

One fourth the sum of a number and five is two less than the number itself

• $4n+5\ =\ 2\ -n$

• $\frac{1}{4}n+5\ =\ n\ -2$

• $4n\ +5\ =\ n\ -2$

• $\frac{1}{4}\left(n+5\right)\ =\ n-2$

Consider the number line above. What is the value of the x?

• - 1.4

• - 1.2

• - 0.6

• - 0.3