Rates, Ratios and Proportions
A recipe calls for 2 cups of flour for every 3 cups of sugar. How much flour is needed for 9 cups of sugar?
A car travels 60 miles per hour. What is this speed in kilometers per hour? (Use 1 mile =1.609 kilometers.)
96.54 K/H
During an activity analysis, a human resources manager determined that an employee spent 1.7 hours making work calls one week, which was 4% of the employee's total work hours for the week. How many hours did the employee work?
42.5
If the mean of five numbers is 12, what is their total sum?
60
The ratio of boys to girls in a class is 5:7 and there are 35 boys, how many girls are there?
49 Girls
Convert 2500 milligrams to grams.
2.5
If a solution contains 12 grams of salt in 200 grams of water, what is the percentage concentration of salt?
6%
A data set has values 2,4,6,8,10. If you add 12 to the set, how does the mean change?
Mean Increases
A map uses a scale of 1 inch : 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them?
175 miles
Convert 0.75 hours to seconds.
2700 sec
If a shirt originally costs $40 and is now on sale for 25% off, what is the sale price?
$30
Create a data set of five numbers where the mean and median are equal.
10
A train travels 240 miles in 4 hours. If another train travels at a rate 1.5 times faster, how far will it travel in 4 hours?
360 Miles
A rectangular field measures 150 meters by 200 meters. What is its area in hectares? (1 hectare =10,000 square meters)
3 hectare
If a product’s price increases from $80 to $100, what is the percentage increase?
25%
During a five-day period, Marta served a different number of customers at her flower shop each day. The mean number of daily customers served during this period was 17. In the following month, during the same five-day period, she served 16 customers per day for four of the days, but on the fifth day, she served 25 customers. What is the difference between the means of the number of customers she served during the two five-day periods?
0.8
Alexei uses 62 liters of water when he takes an 8 minute shower. Running the water at the same rate, it takes him 10.5 minutes to fill the tub for a bath. To the nearest liter, how many more liters of water does Alexei use when he takes a bath than when he takes a shower?
19L
The speed of a space shuttle orbiting the Earth is 28,325 miles per hour. What is the distance, in thousands of miles, the space shuttle travels in 5 days?
3,399
If you invest $1,500 and earn a 6% return, how much money will you have after one year?
1,590
The scores of 5 students on a quiz are: 82, 90, 85, 88, and x. If the mean score is 87, what is the value of x?
90