Part, Whole, Percent
What is 25% of 160?
40
A map scale says 2 inches = 25 miles. How many miles are represented by 6 inches?
75 miles
Solve for x:
x - 4.5 = 11.25
15.75
Find the area of a triangle with a base of 15 cm and a height of 8 cm
60 sq cm
Find the mean of this data set: 8, 12, 15, 17
13
The number 15 is what percent of 60?
25%
Store A charges $4.50 for 3 pounds of apples. Store B charges $5.60 for 4 pounds. What is the unit rate of the cheaper store?
Answer: $1.40 per pound (Store B is cheaper)
Use the distributive property to expand: 6(3x + 5)
A rectangular prism has a length of 4.5 inches, a width of 2 inches, and a height of 3 inches. What is its volume
27 cubic inches
Find the median of this data set: 4, 12, 7, 9, 20, 11
Answer: 10 (Ordered: 4, 7, 9, 11, 12, 20; middle is halfway between 9 and 11)
If 40% of a number is 24, what is the original number?
60
A cyclist travels 45 miles in 3 hours. At this exact rate, how many hours will it take them to travel 105 miles?
7 hours
Five more than twice a number n.
2n + 5
A square has a perimeter of 36 meters. What is the area of this square?
81 square meters (Each side is 9 meters)
In a box-and-whisker plot, what is the name for the value that splits the lower half of the data in half?
First Quartile (or Q1 / Lower Quartile)
A jacket costs $60. It is on sale for 15% off. How much money do you save?
$9
The ratio of boys to girls in a club is 2 to 3. If there are 35 members total, how many girls are in the club?
21 girls
(5 total parts; 35 / 5 = 7 per part; 3 x 7 = 21)
0.5(12x - 8) + 3x
Answer: 9x - 4
A rectangular prism net is unfolded. It consists of two 3x4 rectangles, two 3x5 rectangles, and two 4x5 rectangles. What is its total surface area?
94 sq. units
Find the range of this data set: -3, 5, 12, 22, -8
Answer: 30 (Highest value 22 minus lowest value -8)
On a test, a student got 18 out of 24 questions correct. What percentage grade did they earn?
75%
A car travels 88 feet per second. How many feet does it travel in 1.5 minutes?
Answer: 7,920 feet
(1.5 minutes = 90 seconds; 88 x 90)
Solve for y:
2/3y = 12
18
A polygon on a coordinate plane has vertices at (-2, 3), (4, 3), (4, -2), and (-2, -2). What is the area of this figure?
30 square units (Length is 6, width is 5)
A data set has a mean of 20. If you add a new data point that is exactly 40, what will happen to the mean?
The mean will increase