Ratios and Rates
An animal shelter with only dogs and cats has a ratio of cats to dogs that is 9:7.
What is the ratio of dogs to all animals?
7/16
What is 0.4% of 10?
0.04
Curtis is making a triangular frame with a base of 12 feet. The perpendicular distance from the base of the frame to its vertex is 6 feet. What is the area of the frame?
36 square feet
Is the following a statistical question?
"How many days were in last month?"
No
-12 + (19)
7
An animal shelter with only dogs and cats has a ratio of cats to dogs that is 9:7.
A second shelter has a ratio of cats to dogs of 6 to 5. If both shelters have18 cats, which shelter has more dogs?
The second shelter
Write 38% as a fraction and a decimal.
35% = 0.38 = 19/50
Caroline is making a triangular flag with a base of 10 inches. The perpendicular distance from the base of the flag to its vertex is 8 inches. What is the area of the flag?
40 inches squared
Miguel listed the ages of his cousins in years:
2, 4, 18, 2, 7, 14, 16, 7
What is the median age of his cousins?
7
72 - (-121) =
193
Jessica is buying several bunches of bananas to make desserts for a fundraiser. She can buy 10 pounds of bananas for $14.90 or 8 pounds of bananas for $12.08. Which is the better buy?
10 pounds of bananas for $14.90
A coat and a pair of boots are on sale for 20% off. The regular price of the coat is $225. The regular price of the boots is $130.
Find the sale price of the coat.
$180
Find the area of a trapezoid with bases 9 miles and 15 miles and a height of 9 miles.
108 miles squared
Miguel listed the ages of his cousins in years:
2, 4, 18, 2, 7, 14, 16, 7
What is the interquartile range?
12
-9/20
Convert 2.5 yards into inches.
90 inches
Of 200 Boston residents surveyed, all but 18 were born in Massachusetts. What percent of the resident surveyed were not born in Massachusetts?
9%
Write and simplify an expression for the volume of a rectangular prism with length 7.5 ft, width w ft, and height 4.2 ft. What is the volume if the width is 2 ft?
63 cubic feet
Calculate the mean, median, mode and range for the data set.
10, 15, 20, 30, 50
mean = 25
median = 20
mode = none
range = 40
-9.26 / 0.4
-23.15
In 1 minute, Alex can type 44 words. While working on a project, Alex types from 10:00 am until 11:30 am. He takes a break from 10:25 am to 10:40 am. At the same rate, how many words did he type?
3,300 words
Paula weeded 40% of her garden in 8 minutes. How many minutes will it take her to weed all of her garden at this rate?
20 minutes
Jake drew a model on grid paper of a kite that he wants to make. Each gridline represents 10 cm. His drawing has coordinates (1, 5), (3, 6), (5, 5), and(3, 0). Sketch Jake’s kite, and calculate the area of the real kite.
1,200 cm squared
Calculate the mean absolute deviation and the interquartile range for the data set.
10, 15, 20, 30, 50
MAD = 12
IQR = 27.5
-7 1/3 x -11 2/5
83 3/5