Grade 8 Math Test 5 Review Outcomes Tested: C-3 Students will be able to apply ratios, rate and proportions to solve problems. C-2 Students will be able to demonstrate an understanding of ratio and rate. B-2 Students will be able to solve problems involving positive rational numbers (fractions & decimals). Target C-2 Students will be able to demonstrate an understanding of ratio and rate. 1. Refer to the diagram to the right. Write each ratio as a fraction and using colons. a) Ratio of baseballs to golf balls. b) Ratio of golf balls to all items. c) Ratio of pants to baseballs and golf balls. d) Ratio of bikes to shirts and skateboards. 2. Write each answer as a unit rate. a) 60 km in 4 L b) 24 hours in 2 days. c) 110 km in 2 hours d) 32 ounces to 4 pounds 3. There are 65 boys and 52 girls in the drama club. What is the ratio of boys to girls, in simplest form? 4. On a farm that has only two types of animals, there are 34 cows and 12 horses. What is the ratio of horses to the total number of animals on the farm, in simplest form? 1
5. Find the unit rate for reach of the following. a) 70 kilowatts in 5 hours. b) 126 M&M's in 6 bags c) 112 seats in 8 rows d) $549 for 9 people 6. If Robert's expenses for 7 days total $297.50. What is Robert's expenses in 3 days? 7. If Marcy earns $44.00 for an 8-hour day, use the unit rate to determine how much Marcy earns for working 5 hours. 8. Find the unit price for each of the following. Round your answer to the nearest cent if necessary. a) 64 oz. of juice for $3.84 b) 5 pounds of potatoes for $1.25 c) 6 pounds of bananas for $2.00 d) 8 L of milk for $3.99 e) 3 cans of soup for $2.60 f) 8 containers of yogurt for $1.00 g) 32 oz. of cola for $0.89 Target C-3 Students will be able to apply ratios, rate and proportions to solve problems. 9. Determine if the following ratios are equivalent: a) 2 3 and 4 5 b) 8 10 and 4 5 c) 7 10 and 3 5 d) 12 18 and 2 3 2
10. Solve the following proportions. a) 4: x = 2: 5 b) 5: 7 = x: 14 c) 12: x = 4: 5 d) 6: 7 = 33: x e) 2:4:8 = 4: :16 f) 3: 4 :12 = 9: :36 g) 1:2: = 6: 12 :24 h) 7:5:12= : 15 :36 11. 9 markers cost $11.50. How much would 7 markers cost? 12. 7 apples cost $5. How many apples can I buy with $8 13. A cake recipe for 5 people requires 2 eggs. How many eggs do we need for a 15 person cake? 3
14. Over a period of 3 hours, 180 leaves fell from a tree. At this rate, how many leaves fell in one hour? 15. Georgia drove a total of 252 miles and used 12 gallons of gasoline. What is this rate in miles per gallon? 16. Tyler scored 21 goals in 7 soccer games. At this rate, about how many goals did he score each game? 17. While climbing down a mountain, Anthony descended 45 feet every hour. At this rate, how many feet will he descend in 6 hours? 18. A statue of Mr. Mathewson is 30 inches tall. If the statue is 3 as tall as Mr. Mathewson, how 7 tall is Mr. Mathewson? 19. The ratio of width to length for a Canadian flag is 10 cm to 19 cm. A flag measuring 50 cm by 95 cm is made. Does this flag satisfy the 10 cm to 19 cm ratio? 4
20. The ratio of grade 8 boys to grade 8 girls on the Acadia Indoor Track Team is 5:7. In total, 120 students on the Acadia Indoor Track Team. How many of them are boys? How many of them are girls? 21. Determine which is a better buy for each of the following. a) 64 oz. of juice for $2.56 or 96 oz. of juice for $2.88 b) 12 pens for $2.16 or 30 pens for $5.70 c) 6 drinks for $1.25 or 24 drinks for $4.00 d) 10 blank DVDs for $2.97 or 70 blank DVDs for $20.00 e) 42 bags of chips for $7.99 or 36 bags of chips for $6.77 f) 4 oz. of shampoo for $6.80 or 0.8 oz. of shampoo for $1.60 5
Target B-2 Students will be able to solve problems involving positive rational numbers. 22. Evaluate. a) 10 2 1 2 b) ( 1 2 + 1 3 ) 6 7 c) 3 4 + 1 4 5 12 d) ( 2 3 + 3 4 ) (4 1 3 ) e) 5 3 4 5 6 6
23. Insert one set of brackets to make the following statements true, and justify your answer. a) 1 2 + 1 4 2 3 = 1 2 b) 3 4 1 5 + 2 3 5 3 = 1 1 12 24. Mr. Mathewson's Grade 9 Science class has created two data files on his computer. One file is 2 1 megabytes, while the other file is 4.5 megabytes. How much larger is the second file 9 than the first? 25. Doug has a shelf 9 3 inches long for storing CDs. Each CD is 3 inch wide. How many CDs will 4 8 fit on one shelf? 26. Karen's favourite chocolate bar has 230 Calories. The nutrition label states that 7 of the 8 Calories come from fat. How many Calories in the chocolate bar come from fat? 27. Luke is building a 1 scale model of a race car. If the tires on the actual car are 33 inches in 9 diameter, what is the diameter of the tires on the model? 7
28. One bag of potting soil contains 8.25 L of soil. How many clay pots can be filled from one bag of potting soil if each pot holds 3 4 L? 29. Alex's recipe for cookies calls for 2.5 cups of flour. If she wants to make 3 of a batch of 4 cookies, how much flour should she use? 30. A box of cereal contains 15 3 ounces of cereal. If a bowl holds 2 2 ounces of cereal, how 5 5 many bowls of cereal are in one box? 31. Hannah's car used 3 of a tank of gas to cross Arizona. The gas tank in her car holds 55.5 L. 4 How many liters of gas did it take to cross Arizona? 32. Ned pours 7 2 ml of water from a beaker containing 10 1 ml. How much water is left in the 5 4 beaker? 8