Unit Rates and Conversions End of Topic Test Form A Name M2, Topic 3- Study Guide Date 1. Use the double number line to convert 7 yards to feet. 2. Use the double number line to convert 160 cups of water to gallons. Yards 0 1 2 3 4 5 6 7 Gallons 0 1 2 3 4 5 6 7 Feet 0 3 6 Cups 0 32 3. Complete the ratio table by converting between quarts and pints. Quarts 4 2 7 1 4 Pints 8 10 3 1 1 2 What is the conversion factor from quarts to pints? 4. One can holds 473 milliliters of juice. Is a four-pack of the cans of juice greater than, less than, or equal to 2 liters? Use unit analysis to solve this conversion problem. (1 L = 1000 ml) 5. A work ladder can extend to 8 meters. How many centimeters is that? How many kilometers is that? Use unit analysis to solve this conversion problem. (1 km = 1000 m) : End of Topic Test Form A 7
Use scaling up or down to solve each problem. 6. You are making fruit smoothies for a school party. You need 2 liters of strawberries and 1.5 liters of blueberries. a. Strawberries come in quarts. How many quarts do you need? (1 L = 1.06 qt) b. Blueberries come in pints. How many pints do you need? (1 L = 2.13 pt) 7. A tin of mints has a mass of 50 grams. How many ounces is that? (1 g = 0.035 oz) 8. Mike is buying watermelons and finds that two different kinds are weighed in kilograms and pounds. Watermelon A is 18 pounds and Watermelon B is 8.7 kilograms. Which watermelon weighs the most? (1 kg = 2.2 lb) 9. Judy is making a model of the Washington Monument. The height of the monument is 555 feet. Her model is 37 centimeters tall. What factor did she use to make the model? 8 Module 2: Relating Quantities
10. Padma made 4 necklaces. The blue necklace is 20 inches long. The green necklace is 51 centimeters long. The purple necklace is 1.5 feet long and the red necklace is 0.5 meter long. Place the necklaces in order from shortest to longest using inches. (1 cm = 0.39 in.; 1 ft = 12 in.; 1 m = 39.37 in.) 11. Four friends live in different cities. They want to meet at the beach. Use the clues to determine each distance to the beach. (1 km = 0.62 miles) Carol lives 268 kilometers from the beach. Shannon lives 170 miles from the beach. Devon lives 4 kilometers closer to the beach than Shannon. Kate lives 10 miles farther from the beach than Carol. a. How many miles does each girl live from the beach? b. How many kilometers does each girl live from the beach? 12. The Flyer Ferris Wheel in Singapore is 165 meters tall, making it the world s tallest observation wheel. How can this be stated using the most appropriate unit in the customary system? : End of Topic Test Form A 9
13. Hometown Market sells three sizes of bags of dried cranberries. The big bag is 16 ounces and costs $4.32. The medium bag is 10 ounces and costs $2.60. The small bag is 6 ounces and costs $1.80. a. What is the cost per ounce for each bag size? b. What is the biggest number of ounces you can buy for $1? c. What size is the best buy? Explain your reasoning. 14. Michael drove 224 miles in 4 hours, while Olivia drove 290 miles in 5 hours. Which of them drove faster, or did they drive at the same average speed? 15. Brand A sells a can of tomato sauce that costs $0.47 for 8 ounces of sauce. Brand B sells a can of tomato sauce that costs $2.59 for 15 ounces of sauce. Which of the two brands of tomato sauce is the better buy per ounce of sauce? 10 Module 2: Relating Quantities
16. Printer A can print 21 pages per minute. Printer B can print 1300 pages per hour. Which printer will have the biggest number of pages in two hours? 17. The graph shows the amount of money made when shirts are sold. What is the cost per shirt? 105 y 90 75 Money Earned 60 45 30 15 0 5 10 15 20 25 Number of Shirts x 18. Michael and Katie both walk after school. The graph shows the number of miles each one has walked in one week. Who walked faster? 16 y Miles Traveled 12 8 4 Katie Michael 0 1 2 3 4 5 6 7 Number of Hours x : End of Topic Test Form A 11