IAR Grade 6 Math Review

The lengths, in minutes, of the 14 movies currently showing at a movie theater are shown in the data set above.

What histogram correctly represents this data?

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The ratio of bleach to water in a cleaning solution is 2:18. For every 1 liter of bleach, how many liters of water are in the solution?

• 1

• 2

• 9

• 18

The above graph shows the location of point A.
Point B has the same x-coordinate as point A. The y-coordinate of point B has the same absolute value but the opposite sign of the y-coordinate of point A. Which ordered pair represents point B?

• (-3, -  $\frac{1}{2}$  )

• (-3, 2)

• (3, - $\frac{1}{2}$  )

• (3, 2)

Which equations are true? Select all that apply.

• $\left|7.25\right|$ = 7.25

• $\left|7.25\right|$ = -7.25

• $\left|-7.25\right|$ = $\left|7.25\right|$

• $\left|-7.25\right|$ = 7.25

• $\left|-7.25\right|$ = -7.25

Which expressions are equivalent to  $6h\ +\ 5\left(x\ +\ h\right)$ ? Select each correct answer. 

•  $7h\ +\ 5x$  

•  $11h\ +\ 5x$ 

•  $12h\ +\ x$ 

•  $6h\ +\ 5x\ +\ 5h$ 

•  $6\left(h\ +\ 5x\ +5h\right)$ 

A right rectangular prism is made with 8 small cubes . Each cube has an edge length of  $\frac{1}{5}$  inch. 
What is the volume, in cubic inches, of the prism? 

•  $\frac{7}{5}$  

•  $\frac{8}{25}$  

•  $\frac{1}{125}$  

•  $\frac{8}{125}$  

The table shows the cost for a number of foam boards purchased for school projects. Each foam board costs the same amount.

What table shows the correct cost for the number of foam boards purchased.

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The box plot summarizes the lengths of 12 fish caught in a lake.

Which statement about the mean and median lengths of the fish caught in the lake is true?

• There is not enough information to determine the mean and the median is 28 centimeters.

• There is not enough information to determine the mean and the median is 31 centimeters.

• The mean is 28 centimeters and there is not enough information to determine the median.

• The mean is 31 centimeters and there is not enough information to determine the median.

A contractor had $3,285 to spend for doors and hammers. Doors cost $75 each. He brought the greatest number of doors that he could buy. He will use the money he has remaining to buy hammers that cost $15 each.

What is the greatest number of hammers he can buy with the money he has remaining?

• 4

• 5

• 43

• 60

This table shows information about the time worked and pay earned by 4 employees. Each earned a different amount of pay per hour.

Employee J worked the same number of hours each week. Determine the amount of pay, employee J earned each week.

• $275

• $225

• $11

• $25