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Proportional Reasoning

Total questions: 65

Worksheet time: 2hrs 2mins

Name
Class
Date
1.

Kendra has 4 necklaces, 7 bracelets, and 5 rings. What is the ratio that compares rings to bracelets?

a)

7:5

b)

4:7

c)

5:7

d)

5:16

2.

There are 3 girls and 2 boys taking swimming lessons. What is the ratio of girls to total kids taking swimming lessons?

a)

5:3

b)

3:2

c)

2:3

d)

3:5

3.

Luis adds 3 strawberries for every 2 blueberries in his fruit smoothie. What ratio compares strawberries to blueberries?

a)

3:2

b)

3:5

c)

2:3

d)

2:5

4.

Choose all of the options that correctly show the ratio of 3 pencils to 10 pens.

a)

10 to 3

b)

310\frac{3}{10}

c)

3:10

d)

10:3

e)

3 to 10

5.

Alex takes 3 steps every 5 feet he walks. As Alex continues walking, he takes more steps and walks a longer distance. Which table is filled in correctly based on that ratio?

a)
b)
c)
d)
6.

Sam has 3 green apples and 4 red apples. Which of the following ratios compare the number of red apples to the total number of apples?

a)

4 to 7

b)

3 to 7

c)

4:7

d)

4:3

e)

47\frac{4}{7}

7.

Jeff ran 2 miles in 12 minutes. Ju Chan ran 3 miles in 18 minutes. Did Jeff and Ju Chan run the same number of miles per minute? Use a piece of paper to complete the tables of equivalent ratios to support your answer.

a)

Yes

b)

No

8.

Jen bought 2 notebooks for $10. Which of the following represents this rate as a fraction?

a)

$10
____
2 notebooks

b)

$10
_____
1 notebook

c)

$2
___
10 notebooks

d)

$1
___
10 notebooks

9.

Based on your last answer choice, what is the unit rate? (Reminder: Jen bought 2 notebooks for $10)

a)

$1

5 notebooks

b)

$10

2 notebooks

c)

$5

1 notebook

d)

$10

5 notebooks

10.

Which ratios are equal to  12\frac{1}{2}  ?

a)

 48\frac{4}{8}  

b)

 714\frac{7}{14}  

c)

 2035\frac{20}{35}  

d)

 814\frac{8}{14}  

e)

 4080\frac{40}{80}  

11.

Which ratios are equal to  23\frac{2}{3}  ?

a)

 69\frac{6}{9}  

b)

 812\frac{8}{12}  

c)

 48\frac{4}{8}  

d)

 46\frac{4}{6}  

e)

 4080\frac{40}{80}  

12.

Which ratios are equal to  47\frac{4}{7}  ?

a)

 2035\frac{20}{35}  

b)

 69\frac{6}{9}  

c)

 814\frac{8}{14}  

d)

 812\frac{8}{12}  

e)

 46\frac{4}{6}  

13.

Amos bought 5 cantaloupes for $8. How many cantaloupes can he buy for $24?

a)

12

b)

15

c)

5

d)

6

14.

Camille said  45\frac{4}{5}  is equivalent to  2430\frac{24}{30}  . Using a separate sheet of paper, complete the given table to determine if you agree with Camille or not.

a)

Yes, Camille is right

b)

No, Camille is wrong

15.

A box of oat cereal costs $3.90 for 15 ounces. A box of rice cereal costs $3.30 for 11 ounces. Which box of cereal costs less per ounce?

a)

Rice is cheaper at .30 an ounce

b)

Oat is cheaper at .30 an ounce

c)

Rice is cheaper at .26 an ounce

d)

Oat is cheaper at .26 an ounce

16.

Scotty earns $35 for babysitting for 5 hours. If Scotty charges the same rate, how many hours will it take him to earn $42?

a)

1

b)

5

c)

6

d)

7

17.

 4214=9\frac{42}{14}=\frac{9}{ }  

Use unit rate to find the unknown value.

a)

2

b)

7

c)

1

d)

3

18.

Jenna saves $3 for every $13 she earns. Vanessa saves $6 for every $16 dollars she earns. Is Jenna's ratio of money saved to money earned equivalent to Vanessa's ratio of money saved to money earned?

a)

Yes: Jenna saves 3:13 and Vanessa saves 3:13

b)

No: Jenna saves 3:13 and Vanessa saves 3:8

c)

Yes: Vanessa saves 3:8 and Jenna saves 3:8

d)

No: Vanessa saves 6:16 and Jenna saves 3:8

19.

Caleb bought 6 packs of pencils for $12. How much will he pay for 9 packs of pencils?

a)

$18

b)

$4.50

c)

$12

d)

$15

20.

A rabbit runs 35 miles per hour. Which animals run faster than the rabbit? (Hint: use the unit rate, not the given rate!)

a)

Reindeer: 100 miles in 2 hours

b)

Ostrich: 80 miles in 2 hours

c)

Zebra: 90 miles in 3 hours

d)

Squirrel: 36 miles in 3 hours

21.

Fill in the blank: Water is filling a bathtub at a rate of 3 gallons per minute. Emily says there will be 36 gallons of water in the bathtub in _____ minutes.

a)

3

b)

12

c)

10

d)

36

22.

What percent is represented by the shaded part?

a)

46%

b)

60%

c)

64%

d)

640%

23.

Rosa made a mosaic wall mural using 42 black tiles, 35 blue tiles, and 23 red tiles. Which percent represents the number of red tiles in the mural?

a)

42%

b)

100%

c)

23%

d)

35%

24.

Choose only the options that represent a fraction and percent that are equal.

a)

50% and 12\frac{1}{2}

b)

45% and 45\frac{4}{5}

c)

38\frac{3}{8} and 37.5%

d)

210\frac{2}{10} and 210%

25.

The school orchestra has 23 woodwind instruments, 15 percussion instruments, 31 string instruments, and 30 brass instruments. Select the portion of the instruments that are percussion. Mark all that apply.

a)

15%

b)

1.5

c)

320\frac{3}{20}

d)

.15

26.

For a science project, 34\frac{3}{4} of the students chose to make a poster and .25 of the students wrote a report. Rosa said that more students made a poster than wrote a report? Is Rosa right or wrong?

a)

Rosa is correct:  34\frac{3}{4}  is 30% and .25 is 25%

b)

Rosa is incorrect: .25 is bigger than  34\frac{3}{4}  

c)

Rosa is correct:  \frac{3}{4}  is 75% and .25 is 25%

27.

Which of the following are correct ways to also write 0.875?

a)

875%

b)

87.5%

c)


78\frac{7}{8}

d)

875100\frac{875}{100}

28.

There are 88 marbles in a bin and 25% of the marbles are red. How many red marbles are in the bin?

a)

22

b)

25

c)

65

d)

66

29.

Harrison has 30 CDs in his music collection. If 40% of the CDs are country music, and 30% are pop music, how many CDs are other types of music?

a)

70%

b)

30%

c)

9

d)

12

30.

30% of 90 ______ 35% of 80

a)

>

b)

<

c)

=

31.

25% of 16 _______ 20% of 25

a)

>

b)

<

c)

=

32.

There were 200 people who voted at the town council meeting. Of these people, 40% voted for building a new basketball court in the park. How many people voted against building the new basketball court?

a)

120

b)

60%

c)

80

d)

100

33.

James and Sarah went out to lunch. The price of lunch for both of them was $20. They tipped their server 20% of that amount. How much did each person pay if they shared the price of the lunch and the tip equally? (Hint: There are quite a few steps to solve this one!)

a)

$10

b)

$4

c)

$12

d)

$24

34.

A sandwich shop has 30 stores and 60% of the stores are in California. The rest of the stores are in Nevada. How many stores are in California? How many are in Nevada?

a)

California has 18 and Nevada has 12

b)

California has 18 and Nevada has 30

c)

California has 30 and Nevada has 30

d)

California has 12 and Nevada has 18

35.

Juanita has saved 35% of the money that she needs to buy a new bike. If she has saved $63, how much money does the bike cost?

a)

$35

b)

$180

c)

$200

d)

$100

36.

Choose the following statements that are correct.

a)

12 is 20% of 60

b)

24 is 50% of 48

c)

14 is 75% of 20

d)

9 is 30% of 30

37.

Heather and her family are going to the grand opening of a new amusement park. There is a special price on tickets this weekend. Tickets cost $56 each. This is 70% of the cost of the regular ticket. How much does a ticket regularly cost?

a)

$20

b)

$56

c)

$80

d)

$70

38.

Heather's mom says that they would save more than $100 if they buy 4 tickets for their family on opening weekend. Do you agree or disagree with Heather's mom?

a)

Disagree: If tickets cost $80 and they bought them for $56, on each ticket you would save $24. For four people, that's a savings of only $96.

b)

Agree: If tickets cost $80 and they bought them for $56, on each ticket you would save $56. For four people, that's a savings of $224!

c)

Agree: If tickets cost $80 and they bought them for $56, on each ticket you would save $30. For four people, that's a savings of $120!

d)

Disagree: If tickets cost $80 and they bought them for $56, on each ticket you would save $14. For four people, that's a savings of only $56.

39.

Elise says that 0.2 equals 2%. Which choice correctly explains Elise's mistake?

a)

You must move the decimal over one place, since you are dividing 0.2 by 10. This would make it .02%

b)

You must move the decimal over two places, since you are dividing 0.2 by 100. This would make it 0.002%

c)

You must move the decimal over two places, since you are multiplying 0.2 by 100. This would make it 20%

d)

Elise is correct, silly!

40.

Which choice is equal to 18% in simplest form?

a)

18100\frac{18}{100}

b)

950\frac{9}{50}

c)

1850\frac{18}{50}

d)

9100\frac{9}{100}

41.

Noah wants to put a variety of fish in his new fish tank. His tank is large enough to hold a maximum of 70 fish. Choose the correct set of numbers that would finish the chart.

a)

14, 28, 21

b)

7, 7, 7

c)

28, 14, 21

d)

14, 56, 7

42.

Noah can still fit another 10% of his maximum number of fish into the tank. If he wants to add some clownfish, how many can he fit?

a)

14

b)

2

c)

7

d)

21

43.

A construction crew needs to remove 2.5 tons of river rock during the construction of new office buildings. The weight of the rocks is...

a)

800 pounds

b)

2,000 pounds

c)

5,000 pounds

44.

Select the conversions that are equivalent to 10 yards. Choose all that apply.

a)

20 feet

b)

240 inches

c)

30 feet

d)

360 inches

45.

Meredith runs at a rate of 190 meters per minute. Use the formula d = r x t to find how far she runs in 6 minutes.

a)

196 meters

b)

1,140 minutes

c)

1,140 meters

d)

280 meters

46.

Alisha can run 36 miles in 3 hours. Use the formula r = d  ÷\div  t to find the rate at which she runs.

a)

36 miles per hour

b)

12 miles per hour

c)

3 miles per hour

d)

112 miles per hour

47.

Raul can run 40 miles in 4 hours. Use the formula r = d

÷ t to find the rate at which he runs.

a)

44 miles per hour

b)

160 miles per hour

c)

44 miles per hour

d)

10 miles per hour

48.

5 kilometers ____ 5,000 meters

a)

>

b)

<

c)

=

49.

254 centiliters _____ 25.4 liters

a)

>

b)

<

c)

=

50.

6 kilograms ______ 600 grams

a)

>

b)

<

c)

=

51.

A recipe calls for 16 fluid ounces of light whipping cream. If Anthony has 1 pint of whipping cream in his refrigerator, does he have enough for the recipe? (Read your answer choices carefully!)

a)

Yes: 1 pint is 1 cup, and 1 cup is 16 ounces

b)

No: 1 pint is 2 cups, and 2 cups is 32 ounces

c)

No: 1 pint is 1 cup, and 1 cup is 8 ounces

d)

Yes: 1 pint is 2 cups, and 2 cups is 16 ounces

52.

The distance from Caleb's house to the school is 1.5 miles, and the distance from Ashlee's house to the school is 3,520 feet. Who lives closer to the school, Caleb or Ashlee?

a)

Caleb does: 1.5 miles is 3,000 feet

b)

Ashlee does: 1.5 miles is 7,920 feet

c)

Ashlee does: 1.5 miles is 5,280 feet

d)

They live the same distance: 1.5 miles is 3,520 feet

53.

Choose the answer that has the measurements in order from least to greatest.

a)

7.4 kilograms, 7.4 decigrams, 7.4 centigrams

b)

7.4 centigrams, 7.4 decigrams, 7.4 kilograms

c)

7.4 decigrams, 7.4 centigrams, 7.4 kilograms

d)

7.4 kilograms, 7.4 centigrams, 7.4 decigrams

54.

An elephant's heart beats 28 times per minute. How many times would it's heart beat in 30 minutes?

a)

58 times

b)

2 times

c)

840 times

d)

84 times

55.

The length of a rectangular football field, including both endzones, is 120 yards. The area of the field is 57,600 square feet. Select the TRUE statements.

a)

The width of the field is 480 yards

b)

The length of the field is 360 feet

c)

The width of the field is 160 feet

d)

The area of the field is 6,400 square yards

56.

Harry received a package for his birthday. The package weighed 357,000 centigrams. Select the conversions that are equivalent o 357,000 centigrams.

a)

3.57 kilograms

b)

357 dekagrams

c)

3,570 grams

d)

3,570,000 decigrams

57.

Mr. Martin wrote the following problem on the board: Juanita's car has a gas mileage of 21 miles per gallon. How many miles can Juanita travel on 7 gallons of gas.
Alex used the expression 21 miles1 gallon=17 gallons\frac{\text{21}\ miles}{\text{1}\ gallon}=\frac{1}{7\ gallons}   to find the answer. Choose the answer that best explains Alex's mistake.

a)

Gallons should be on top of 1 so that they can cancel out

b)

21 miles should be over 1 and 7 gallons should be under 1 gallon

c)

21 does not represent miles, it represents gallons

d)

7 does not represent gallons, it represents miles

58.

Mr. Chen filled his son's wading pool with 20 gallons of water. 20 gallons is equivalent to...

a)

80 quarts

b)

60 quarts

c)

40 quarts

59.

Steve is driving 440 miles to visit the Grand Canyon. He drives at an average rate of 55 miles per hour. How long will it take Steve to reach the Grand Canyon?

a)

4 hours

b)

2 hours

c)

16 hours

d)

8 hours

60.

Lucy walks one time around the lake. She walks for 1.5 hours at an average rate of 3 miles per hour. What is the distance, in miles, around the lake?

a)

3 miles

b)

4.5 miles

c)

6 miles

d)

1.5 miles

61.

The parking lot at a store has a width of 20 yards and 2 feet, and a length of 30 yards. Derrick says that the width could also be written as 22 feet. Choose the answer that best explains whether Derrick is right or wrong.

a)

Derrick is right: 20 plus 2 is 22

b)

Derrick is right: yards and feet are the same

c)

Derrick is wrong: there are 3 feet in a yard, so it would be 62 feet

d)

Derrick is wrong: there are 3 yards in a foot, so it would be about 7 feet

62.

Jake is using a horse trailer to take his horses to his new ranch. Which answer choice correctly fills in the chart?

a)
b)
c)
d)
63.

Jake's truck can tow a maximum weight of 5,000 pounds. What is the maximum number of horses he can take in his trailer at one time without going over the maximum weight his truck can tow?

a)

1 horse

b)

2 horses

c)

3 horses

d)

3.5 horses

64.

A rectangular room measures 13 feet by 132 inches. Tonya said the area of the room is 1,716 square feet. Explain her mistake and the right answer. Read the choices carefully!

a)

Tonya is correct, silly!

b)

You do not multiply to find area. The answer is 1.2 square feet.

c)

You can't multiply feet by inches. The answer is 134 square feet.

d)

You can't multiply feet by inches. The answer is 143 square feet.

65.

How ready do you feel for your test?

a)

Gonna nail it!

b)

I'll probably get an A or B.

c)

I'm really not sure, it's a toss up...

d)

I think I'm going to fail. Please help!

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