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Ratios
Unit Rates and Best Buy
Proportions
Problem Solving
Pythagorean Theorem
100
The ratio of 4500 trees to 6500 trees in simplest form.
What is 9 to 13.
100
The unit rate of 650 kilometers in 8 hours.
What is 81.26 km per hour.
100
n/3 = 15/9
What is n=5
100
On an architect's drawing, 2 inches corresponds to 9 feet. Find the length of a home represented by a line that is 11 inches long.
What is 49.5 feet.
100
A standard city block is a square with each side measuring 100 yards. Find the length of the diagonal of a city block to the nearest hundredth yard. ***Calculator Allowed***
What is 14.14 yards long.
200
The ratio of 9 inches of rain in 30 days.
What is 3 inches every 10 days or 3:10
200
The unit rate of 140 students for 5 teachers.
What is 28 students per teacher.
200
8/x = 11/6
What is 48/11 or 4.36
200
If a car can be driven 80 miles in 3 hours, how long will it take to travel 100 miles?
What is 3 hours 45 minutes.
200
A section of land is a square with each side measuring 1 mile. Find the length of the diagonal of the section of leand to the nearest thousandths mile. ***Calculator allowed ***
What is 1.414 miles.
300
The ratio of 8.6 to 10
What is 43 to 50.
300
The Sojourner is a 6-wheeled vehicle that was used in the exploration of Mars, but was remotely controlled from Earth. Each wheel was designed to move independently, allowing the capability of traversing various obstacles and the ability to be turned around in place. This little vehicle was capable of traveling about 960 inches in 60 minutes. Determine the unit rate.
What is 16 inches per minute.
300
4: 3/7 = y : 1/4
What is 7/3.
300
The standard does of medicine for a dog is 10 grams for every 15 pounds of weight. What is the standard dose for a dog that weighs 80 pounds?
What is 53 and 1/3 grams.
300
The playing field for football is a rectangle that is 300 feet long by 160 feet wide. Find the length of a straig-line run that started at one corner and went diagonally to end end at the opposite corner. Round to the nearest foot if necessary. *** Calculator Allowed ***
What is 340 feet.
400
The ratio of 5 and 7/8 to 9 and 3/4.
What is 47 to 78.
400
The better buy: Steak sauce: 8 ounces for $1.19 or 12 ounces for $1.89.
What is 8 ounces for $1.19.
400
1.5 / 5 = 2.4 / n
What is n= 8
400
Ramona Hatch has enough money to put 6.9 gallons of gas in her Honda Civic Hybrid. She is planning on driving home from college for the weekend. If her home is 290 miles away, should she make it home before she runs out of gas? A Honda Civic Hybrid averages 627 miles on 12.3 gallon tank of gas.
What is yes she should make it home.
400
A soccer field in the shape field is in the shape of a retangle and its dimensions depend on the age of the players. the dimensions of the soccer field (70 yards by 110 yards) are the minimum dimensions for international play. Find the length of the diagonal. Round to the nearest tenth of a yard. *** Calculator Allowed ***
What is 130.4 feet.
500
The world's largest yacht, the Azzam, measures 590 feet A Boeing 787-8 Dreamliner measures 186 feet long. Find the ratio of the Azzam to the length of the 787-8.
What is 295 to 93.
500
The better buy: Jelly: 16 ounces for $1.49 or 24 ounces for $2.39
What is 16 ounces for $1.49.
500
21: x = 7/2 : 3
What is x = 18
500
Mosquitoes are annoying insects. To eliminate mosquito larvae, a certain granular substance can be applied to standing water in a ratio of 1 tsp per 25 sq ft of standing water. a. At this rate, find how many teaspoons of granules must be used for 450 square feet. b. If 3 tsp = 1 tbsp, how many tablespoons of granules must be used?
What is a. 18 teaspoons b. 6 tablespoons
500
Does this set of lengths form the sides of a right triangle? 25, 60 and 65
What is yes. It is a 5, 12, 13 triangle.