Ratios & Proportions
Re-write the proportion: 20:5 as a simplified fraction.
4/1
What is the opposite of 27?
-27
Solve: 1/2 รท 2/3
3/4
What is the area of a square with a side of 4 cm?
16 cm2
What is the mean of the following set: 2, 3, 3, 5, 7?
4
If 6 pencils cost $2, how much do 12 pencils cost?
$4
What is the absolute value of -58?
58
Simplify: 10y - 4y - 6
6y - 6
Find the volume of a rectangular prism with a length of 5 cm, a width of 3 cm, and a height of 2 cm.
30 cm3
If the average of five test scores is 80, what is their total?
400
If the ratio of dogs to cats is 4:5, how many dogs are there if there are 25 cats?
20 dogs
The temperature was -5 degrees Celsius. It then dropped 8 degrees. What is the new temperature?
-13 degrees Celsius
Solve for x: x/5 = 12
x = 60
How many edges does a cube have?
12 edges
A distribution shows an uneven spread with a some outliers very far away from the main cluster of data points. Which measure of center is best to use?
At a bake sale there are some cookies for sale. If 3 of the cookies are chocolate chip, 4 of the cookies are snickerdoodles, 2 of the cookies are oatmeal raisin, and 3 of the cookies are white chocolate macadamia, what is the ratio of chocolate chip cookies to total cookies?
3:12
1:4
What is the distance between these points?
(1, 3) (1, 12)
9
What is the value of 2(x + 3) if x = 5?
16
What is the area of a triangle with a base of 12 inches and a height 9 inches.
54 inches2
Calculate the IQR of this dataset: 2, 4, 5, 6, 8, 9, 10
5
If the speed of a car is 60 miles per hour, how far will it travel in 3.5 hours?
210 miles
A hiker climbs down a mountain in 30 minutes, covering a distance of 300 meters. What is the average change in altitude per minute?
-10 meters per minute
If 7 = 3x + 2, what is the value of x?
5/3 or 1.67
What is the surface area of a square prism where the base has an edge length of 6 meters and the other faces have a height of 4 meters.
168 m2
Calculate the MAD of this dataset: 2, 4, 6, 8, 10
2.4