| Ratios | ||
| #1 | Write the ratio of the first number to the second number three ways: 4 , 9 | 4:9, 4 to 9, 4/9 |
| #2 | The Missouri River is 2315 miles long, but boats can only travel on or navigate 735 miles of total length. Write the ratio of Missouri's navigable length to its total length as a fraction in simplest form. | 735 / 2315 = 147 / 463 |
| #3 | In the 2000 Winter Olympics, the Netherlands earned 12 gold medals, 9 silver medals, and 4 bronze medals. Write the ratio of gold medals to all medals. | 12 / 25 |
| #4 | Who has the greater ratio of racing games to adventure games? Write the ratio's. | Alyssa does 0.4444... > Andrew = 0.3 |
| #5 | The perimeter of the rectangle is 900 feet. What are the length and width of the rectange with a ratio of 7 : 3 length to width | 315 length a 135 width |
| Rates | ||
| #1 | What number should you divide the numerator and the denominator by to make unit rate? $24 : 4 people? | 4 |
| #2 | Complete the statement - 128 mi / 4 weeks = ? / 1 week | 32 miles |
| #3 | Match the rate with the unit rate - 1. 42m / 15 sec 2. 72 m / 8 sec 3. 13 m / 4 sec a. 2.8 m / 1 sec b. 3.25 m / 1 sec c. 9m / 1 sec | 1 - a 2 - c 3 - b |
| #4 | Which is a better buy? Rice: 28 ounces for $2.88 or 32 ounces for $3.36 | 28 ounces at 0.102 |
| #5 | A swimmer completed a 200 - meter race in 2 min 5 seconds. What was the swimmers average speed? | 1.6 meters per 1 second |
| Proportions | ||
| #1 | Find the error: Two pounds of apples costs $3. Find the cost c of 18 pounds of apples. 2 /3 = c / 18 | It was set up wrong. Should be 2 / 3 = 18 / c |
| #2 | Solve: y / 9 = 40 / 72 | y = 5 |
| #3 | Solve : 1 / 4 = c / 17 | c = 4.25 |
| #4 | Write and solve. 40 is to y as 8 is to 15 | y = 75 |
| #5 | Solve: 8 / 15 = 4a / 9 | a= 1.2 |
| Scale Models | ||
| #1 | Solve : 1 / 8 = x / 36 | x = 4.5 |
| #2 | A 22 cm long model of an actual object is made using the scale 1 cm : 4 cm. Find the actual length of the object. | 88 cm |
| #3 | The scale on a map is 1 cm ; 18 km. Find the actual distance for 4.5 cm on a map. | 81 km |
| #4 | Find the scale used to create the model. The scale model of a 55 inch tall book case is 5 inches tall. | 1 : 11 |
| #5 | A scale model of a window has a length of 2.9 inches and a width of 2 inches. If the scale is 1 : 20, what is the perimeter of the actual window? | Length = 58, Width = 40, Permiter = 196 in |
| Word Problems | ||
| #1 | A filter for an aquarium cleans 400 gallons of water in 60 minutes. How many gallons of water does the filter clean in 5 minutes? | 33.3333.... gallons |
| #2 | A modem transfers 112 kilobytes of data in 2 seconds. At this rate, how long does it take to transfer 280 kilobytes of data? | 5 seconds |
| #3 | In 2000, the average male television viewer watched about 30 hours of TV in 7 days. About how many hours of TV did the average male viewer watch in 28 days? | 120 hours |
| #4 | Your dog eats 11 ounces of dog food each day. How many days will a 20 pound bag of food last? | 29 days |
| #5 | You can walk 3 miles in 64 minutes. How many yards can you walk in 10 minutes? | 825 yards |
| Final Question | |