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Name: Date:

Scarsdale Middle School Popham House Mr. Weiss

Review Sheet: Rate, Ratio and Proportion ( Level One

(1-3) Simplify each ratio:

1) 8 feet to 3 yards 2) 3 meters to 50 cm 3) 18 ounces to 2 pounds

4) The chorus consists of 100 students of which 40 are boys. What is the ratio of boys to girls in the chorus?

5) 2/3 of the ingredients in a fruit drink are water and the rest is pure juice. What is the ratio of water to juice in the fruit drink mixture?

(6-8) Solve each proportion:

6) [pic] 7) [pic] 8) [pic]

9) A car traveled 330 miles in 6 hours. At this rate, how far would the car travel in 10 hours?

10) During practice, a jogger ran 21 miles in 3 hours and 30 minutes. During the race, she ran 24 miles jogging at the same average rate as in practice. How long did it take her to run the race?

11) What number must be subtracted from both the numerator and denominator of [pic] to make the fraction equal to [pic]?

12) Find each unit rate ($ per oz) to determine the better buy:

Brand A: $6.00 for 25 ounces Brand B: $12.00 for 3 pounds

13) Two numbers are in a ratio of 5:2. Their sum is 350. Find each number.

14) The scale of a map reads 3 in. = 20 miles. What is the actual distance represented by 19[pic] inches on the map?

15) True of False? [pic]

16) 8 out of every 30 people on a field trip are adults. If there are 110 children on the trip, how many adults were on the trip?

17) A 32-ounce package of chopped meat costs $4.79. Find the cost per ounce. Round to the nearest cent.

18) A high school football player runs 40 yards in 4.5 seconds. If he were to maintain his speed, how many miles would he run in one hour? Round to the nearest tenth

19) After 12 minutes on a stair-stepper, Rick has burned 210 calories. At the same rate, what is the total number of calories Rick will burn in a 20-minute workout?

20) If a certain recipe requires five tablespoons of flour for every two ounces of butter, how many tablespoons of flour are needed if two pounds of butter are used?

21) [pic] of the people invited to the party could not attend. If 52 people were able to attend, how many people were invited?

22) The ratio of men to women at the meeting is 3:2. There are 65 people at the meeting. How many men and how many women were at the meeting?

23) The ratio of the sides of a triangle is 2:5:6. Its perimeter is 39 cm. What is the length of each side?

24) Two numbers are in a ratio of 5:3. If each of the numbers is reduced by 7, the numbers will be in a ratio of 2:1. What are the original numbers?

25) A 1.75-meter tall woman has a height of 7 cm in a photograph. Her son is 5 cm tall in the photograph. What is his actual height?

26) On a map, 3/8 of an inch represents 240 miles. What is the actual distance represented by [pic] inches?

27) A train leaves Boston at 8:00 am and travels the 216 miles to New York at a speed of 90 mph. At what time in the morning does the train arrive in New York?

28) At 7:00 am, a moving truck began transporting the contents of a house to their new home at an average speed of 50 mph. At 10:00 am, the family followed in their car at an average speed of 75 miles per hour. They arrived at the new house at the same time. What time did they arrive?

29) A women driving her family home from their vacation house traveled 600 miles the first day. By increasing her average speed 10 miles per hour, she was able to drive 720 miles the second day in the same amount of time. What was her average speed the first day?

30) The triangles are similar. Solve for x.

4 6

6

x

31) Jack saved $60 on a jacket during a 30% off sale. What was the original price of the jacket?

32) A man and his wife drove to their vacation home. The first day, they drove 500 miles. The second day, they drove 300 miles and arrived. The man drove 40% of the way the first day and he drove 60% of the way the second day. What percent of the entire trip did he drive?

33) Find simple interest on a $6000 investment at 7% annual interest for 3 years?

34) What is the percent increase in enrollment if a school increases its student population from 800 students to 900 students?

35) A man lost 30% of his weight. He lost 75 pounds. What was his weight before he began his diet?

36) What is the simple interest earned on a $4000 investment at a 5% annual interest rate for 48 months?

37) A team won 24 games and lost 20% of their games (no ties). How many games did they play?

38) After a sale, an item was reduced from $300 to $255. By what percent was the item reduced?

39) A women bought two sweaters. She bought a red one at 40% off and a blue one at 10% off. The red one was regularly priced at $80 and the blue one was regularly priced at $40. What was her total percent savings?

40) After receiving an 18% raise, Jim now earns $53,100. What was his salary before the raise?

41) An item is placed on sale. The price is reduced from $120 to $96. By what percent is the item reduced?

42) 42% of the 5000 students at a University are women. How many men attend the University?

43) An item is on sale for 37% off. Then sales tax of 6½% is added on to produce a final cost of $268.38. What was the original price of the item?

Answers:

1) 8:9

2) 6:1

3) 9:16

4) 2:3

5) 2:1

6) x = 12

7) 6 or –6

8) x = –15

9) 550 miles

10) 4 hrs

11) x = 65

12) Brand A = $.24

Brand B = $.25

13) 100, 250

14) 130 miles

15) True

16) 40 adults

17) $.15 per oz

18) 18.2 miles

19) 350 cal.

20) 80 TBs

21) 91 invited

22) 39 men, 26 women

23) 6 cm, 15 cm, 18 cm

24) 35, 21

25) 1.25 meters

26) 2240 miles

27) 10:24

28) 4:00 pm

29) 50 mph, 60 mph

30) 9

31) $200

32) 47.5%

33) 1260

34) 12.5%

35) 250

36) 800

37) 30

38) 15%

39) 30%

40) 45,000

41) 20%

42) 2900

43) $400

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