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Mr. Johnson 6th Grade Ratios, rates

Total questions: 155

Worksheet time: 11hrs 36mins

Name
Class
Date
1.

A unit rate is a rate whose denominator is what number?

(a)  

2.

Check all of the ratios equivalent to 2:3.


Don't just pick 1 answer! Look through all of the options and pick all that apply.

a)

2 to 3

b)

4 to 6

c)

6 to 4

d)

6:4

3.

Which of the rates are equivalent?


$15 for 3 quarts of strawberries


Check ALL that are equivalent.

a)

$3/quart

b)

$5/quart

c)

$20 for 4 quarts

d)

$0.33/quart

e)

$10 for 2 quarts

4.

The ratio of teachers to students at Newport High School is 2:15. If there are 6 mathematics teachers, how many students are there?

a)

17

b)

13

c)

45

d)

90

5.

The ratio of roses to carnations in a flower shop is 5:3. What is the ratio of roses to all flowers?

(a)  

6.

Find the unit rate.


$26.01 for 9 gallons of gas

a)

$2.89/gallon

b)

$2.88/gallon

c)

$28.90/gallon

d)

answer not here

7.
What is C?
a)
80
b)
24
c)
96
d)
92
8.
What is A?
a)
84
b)
7
c)
28
d)
82
9.
What is B?
a)
3
b)
9
c)
2
d)
6
10.

Use your 11's trick.


11 x 26 = ?

(a)  

11.

Find the unit rate.


275 feet in 10 seconds

a)

27.5 feet per second

b)

2.75 feet per second

c)

275 feet per second

d)

2,750 feet per second

12.

Find the unit rate:


25 pieces of candy for $2

a)

$0.08 each

b)

$0.09 each

c)

$50 each

d)

$5 each

13.

A store sees 120 customers in 8 hours. What is the unit rate?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

14.

At Weis, 7 apples in a tote cost $4.55. What is the cost per apple?

a)

1.54 apples per dollar

b)

1.54 dollars per apple

c)

$0.65 per apple

d)

not here

15.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
16.

What are the 3 ways you can write a ratio?

a)

fraction

b)

colon

c)

the word "to"

d)

part-to-part

17.

7 girls to 5 boys

a)

part-to-part

b)

part-to-whole

c)

whole-to-part

18.

7 girls to all the students in the class

a)

part-to-part

b)

part-to-whole

c)

whole-to-part

19.

all the students in the class to 5 boys

a)

whole-to-part

b)

part-to-part

c)

part-to-whole

20.

1:2 is equivalent to 2:4

a)

yes, the top and bottom were both multiplied by 2

b)

no

21.

4:7 is equivalent to 8:_

a)

7

b)

32

c)

14

22.

8:9 is equivalent to 24: ____

a)

36

b)

27

c)

16

23.

8:5 is equivalent to 16:_

a)

8

b)

16

c)

10

24.

I understand how to find an equivalent ratio.

a)

yes

b)

no

25.

What is the difference between a ratio and a rate?

4 lines
26.

Write this rate in simplest form : 12:144

a)

6:72

b)

3:36

c)

1:12

27.

Write this ratio in simplest form: 72:9

a)

8:1

b)

24:3

c)

1:8

28.

Find the unit rate: 10 miles in 5 hours

a)

2 miles in 1 hour

b)

1 mile in 2 hours

29.

Find the unit rate. 8 apples for $3.

a)

You can't do that, it doesn't divide out evenly

b)

0.375

c)

0.38

d)

2.6666......

e)

2.67

30.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
31.
If there are 5 boys and 7 girls, write the ratio of girls to boys.
a)
5 to 7
b)
7 to 5
c)
5 to 12
d)
7 to 12
32.
Ten soccer players were going to a soccer tournament with their three coaches. What is the ratio of coaches to players? 
a)
10 : 3
b)
10:13
c)
3 : 10
d)
3:13
33.
Kelly has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to game apps?
a)
5 to 2
b)
3 to 5
c)
5 to 10
d)
5 to 3
34.
Tommy has a bag of LEGOS.  There are 6 yellow, 3 red, and 8 blue LEGOS.  What is the ratio in simplest form of red to yellow LEGOS?
a)
1/2
b)
6/3
c)
2/1
d)
3/6
35.

An ostrich can run at a rate of 50 miles in 60 minutes. At this rate, how long would it take an ostrich to run 15 miles?

a)

12 minutes

b)

18 minutes

c)

5 minutes

d)

10 minutes

36.

To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts?

a)

4 tablets

b)

5 tablets

c)

6 tablets

d)

8 tablets

37.

To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts?

a)

4 tablets

b)

5 tablets

c)

6 tablets

d)

8 tablets

38.

A soup that serves 16 people calls for 4 cups of chicken broth. How many cups of chicken broth would you need to make an identical recipe that serves 32 people?

*Use a ratio table to find the answer*

a)

6 cups

b)

4 cups

c)

8 cups

d)

1 cup

39.
Express the ratio as a fraction in the simplest form. 
6 dimes to 18 dimes
a)
½
b)
⅓
c)
⅖
d)
¼
40.
Express the ratio as a fraction in the simplest form. 
14 footballs to 35 footballs 
a)
½
b)
⅓
c)
⅖
d)
¼
41.
Complete the ratio tables
a)
10, 15, 20
b)
15, 20, 25
c)
10, 35, 45
d)
10, 15, 30
42.
Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins.  
a)
yes, equivalent
b)
no, not equivalent
43.
For a recipe, Brutus uses 4 cups of sugar for every 5 cups of flour. Which of the following show equivalent ratios for sugar to flour?
a)
4/5=8/10 =12/15
b)
4/5 = 5/6 = 6/7
c)
4/5 = 3/4 = 2/3
d)
4/5=8/15=16/45
44.
Which ratio is equivalent to 5 to 4
a)
25 to 20
b)
10 to 12
c)
4 to 5
d)
15 to 8
45.
Solve for A in the table.
a)
A= 40
b)
A= 10
c)
A= 9
d)
A= 45
46.

Write the ratio in simplest form.


42 to 6

a)

7:1

b)

24:3

c)

21:3

d)

21:4

47.

Write the ratio in simplest form.
27:12

a)

49\frac{4}{9}  

b)

74\frac{7}{4}  

c)

123\frac{12}{3}  

d)

94\frac{9}{4}  

48.

Write the ratio in simplest form.

120:5

a)

120 to 5

b)

24 to 2

c)

60 to 5

d)

24 to 1

49.

Write the ratio in simplest form.

32 to 4

a)

168\frac{16}{8}

b)

81\frac{8}{1}

c)

68\frac{6}{8}

d)

94\frac{9}{4}

50.

Determine whether the ratios are equivalent.

$72 for every 8 people,

$18 for every 2 people

a)

Yes

b)

No

51.

Determine whether the ratios are equivalent.

5 dogs to 6 cats,

20 dogs to 24 cats

a)

Yes

b)

No

52.

Determine whether the ratios form a proportion.

27 trucks to 12 jeeps,

44 trucks to 16 jeeps

a)

Yes

b)

No

53.

Determine whether the ratios form a proportion.

8 feet in 15 seconds,

16 feet in 40 seconds

a)

Yes

b)

No

54.

Solve each proportion using Cross Products.

3x=68\frac{3}{x}=\frac{6}{8}  

a)

6

b)

7

c)

4

d)

5

55.

 Solve each proportion using Cross Products.

28=3a\frac{2}{8}=\frac{3}{a}

a)

12

b)

7

c)

9

d)

6

56.

You go to the grocery store to buy dog food. The store has three sizes available:

an 8-lb bag for $9.88

a 20-lb bag for $23.44

a 40-lb bag for $49.00


Which size bag has the lowest cost per pound rounded to the nearest cent?

a)

They are all the same

b)

The 20-lb bag

c)

The 8-lb bag

d)

The 40-lb bag

57.

You go to the grocery store to buy dog food. The store has three sizes available:

an 8-lb bag for $9.88

a 20-lb bag for $23.44

a 40-lb bag for $49.00


Which size bag has the highest cost per pound rounded to the nearest cent?

a)

They are all the same

b)

The 20-lb bag

c)

The 40-lb bag

d)

The 8-lb bag

58.

What is the distance between the following ordered pairs (0,5) and (0,-5)?

a)

10 units

b)

11 units

c)

12 units

d)

14 units

59.

What is the distance between the following ordered pairs (1,3) and (1,-3)?

a)

10 units

b)

6 units

c)

2 units

d)

5 units

60.

What is the distance between the following ordered pairs (6,3) and (-5,3)?

a)

17 units

b)

19 units

c)

11 units

d)

12 units

61.

What is the distance between the following ordered pairs (9,2) and (9,-7)?

a)

8 units

b)

9 units

c)

11 units

d)

12 units

62.

What letter is at this ordered pair: (4,1)

Remember (x,y)

(click on the image to make it bigger)

a)

R

b)

T

c)

Y

d)

U

63.

What letter is at this ordered pair: (3,-5)

Remember (x,y)

(click on the image to make it bigger)

a)

P

b)

A

c)

S

d)

I

64.

What letter is at this ordered pair: (-5,1)

Remember (x,y)

(click on the image to make it bigger)

a)

Q

b)

E

c)

W

d)

G

65.

What letter is at this ordered pair: (5,5)

Remember (x,y)

(click on the image to make it bigger)

a)

R

b)

U

c)

T

d)

Y

66.

What letter is at this ordered pair: (1,-4)

Remember (x,y)

(click on the image to make it bigger)

a)

P

b)

I

c)

A

d)

S

67.

What letter is at this ordered pair: (-1,-5)

Remember (x,y)

(click on the image to make it bigger)

a)

G

b)

E

c)

F

d)

D

68.

What letter is at this ordered pair: (-3,-3)

Remember (x,y)

(click on the image to make it bigger)

a)

F

b)

D

c)

G

d)

A

69.

What letter is at this ordered pair: (-5,-2)

Remember (x,y)

(click on the image to make it bigger)

a)

F

b)

D

c)

G

d)

A

70.

What letter is at this ordered pair: (-2,1)

Remember (x,y)

(click on the image to make it bigger)

a)

W

b)

E

c)

Q

d)

R

71.

What letter is at this ordered pair: (1,2)

Remember (x,y)

(click on the image to make it bigger)

a)

R

b)

T

c)

Y

d)

U

72.
Which axis runs horizontally?
a)
x
b)
y
73.
Which axis runs vertically?
a)
x
b)
Y
74.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
75.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
76.
What letter is located at (5, 7)
a)
A
b)
B
c)
C
d)
D
77.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
78.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
79.
Where is point A located?
a)
( 7 , 2 )
b)
( 2 , 6 )
c)
( - 2 , 7 )
d)
( 2 , 7 )
80.
In what order to you follow ordered pairs?
a)
vertex first then y
b)
y first then x
c)
none of these
d)
x first then y
81.

Where is point A located:

a)

(1, 1,5)

b)

(1.5, -1)

c)

(-1.5, 1)

d)

(2, -1)

82.

Where is point F located:

a)

(-4, 0)

b)

(0, 4)

c)

( 4, 0 )

d)

(0, -4)

83.

Which point is located at ( -2, 2)

a)

A

b)

B

c)

C

d)

D

84.
There are 2 seats on the left side of a plane and three seats on the right. If there are 90 seats on the right side, how many are on the left?
a)
32
b)
60
c)
6
d)
40
85.
a)
$3.08
b)
$4.08
c)
$3.00
d)
$2.10
86.
A wood stove burns 4 same sized logs in 2 hours. How many logs can I burn in 8 hours?
a)
12
b)
6
c)
8
d)
16
87.
a)
40
b)
500
c)
50
d)
45
88.
Sharon is decreasing the size of a diagram of a leaf that is 30 centimeters long by 10 centimeters wide. If the reduced diagram is 4 centimeters wide, how long will it be?
a)
2
b)
12
c)
10
d)
1.2
89.
On Carlos’s map, Greenville and North Valley are 4.5 inches apart. The scale on his map is 1 inch = 20 miles. How far is Greenville from North Valley?
a)
900
b)
9
c)
90
d)
4
90.
A machine can produce 27 inches of ribbon every 3 minutes. How many FEET of ribbon can the machine produce in one hour?
Find out the total inches first and then convert to feet. Remember, 12 inches = 1 foot
a)
9
b)
45
c)
450
d)
540
91.
Mandy earns $20 for walking 4 dogs. How much does she earn walking EACH dog?
a)
50
b)
8
c)
80
d)
5
92.
The PTA is ordering pizza for their next meeting. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. How many cheese pizzas will they order if they order 15 pepperoni pizzas?
a)
10
b)
7
c)
5
d)
6
93.
Coach Frizzell can walk 2 miles in 45 minutes. At this rate, how many miles can he walk in 135 minutes?
a)
60
b)
6
c)
5
d)
9
94.
On a map, Mesquite is 5 inches from Dallas. If the map's scale is 1 inche = 3 miles, what is the actual distance from Mesquite to Dallas?
a)
15
b)
5
c)
10
d)
14
95.
You can buy 4 pounds of peaches for $5.96. What do 4 1/2  pounds of peaches cost? 
Think about what you should turn 4 1/2 into?
a)
$6.00
b)
$5.70
c)
$6.70
d)
$7.07
96.

Solve for x

a)

x = 19.6

b)

x = 5/98

c)

x = 101/5

97.
Solve for x 
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
98.

The ratio of a quarterback's completed passes to attempted passes is 7 to 8. If he attempted 24 passes, how many did he complete?

a)

21 passes

b)

8 passes

c)

3 passes

d)

27 passes

99.

It takes Emma 18 minutes to type and spell check 14 pages of manuscript. How long will it take her to type and spell check 77 pages?

a)

18 minutes

b)

99 minutes

c)

60 minutes

d)

1,386 minutes

100.

If a car travels 280 miles in 7 hours, how far will it travel in 12 hours?

a)

480 miles

b)

1,960 miles

c)

84 miles

d)

25 miles

101.

The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are sold?

a)

10%

b)

20%

c)

80%

d)

90%

102.

If 7 sandwich rolls cost $1.68, how much will 29 rolls cost?

a)

$11.76

b)

$6.96

c)

$13.76

d)

$7.96

103.
What percent of 50 is 20?
a)
40%
b)
25%
c)
2.5%
d)
4%
104.

6 of the 16 students in Mrs. Crew's class were serving detention. What is the percent of students serving detention?

a)

16%

b)

60%

c)

37.5%

d)

62.5%

105.
What is 40% of 230?
a)
92
b)
9200
c)
9.20
d)
575
106.

A person ate 2400 calories in a day. Of these, 36% came from fat. How many calories came from fat?

a)

984

b)

830

c)

1142

d)

864

107.
34% of what number is 51?
a)
69
b)
71
c)
150
d)
196
108.

4.5 is 7.5% of what number?

a)

50

b)

60

c)

400

d)

30

109.

The Mayflower started with 150 passengers. It lost 60% due to illness. How many people remained?

a)

60

b)

90

c)

100

d)

15

110.
What percent of 50 is 20?
a)
40%
b)
25%
c)
2.5%
d)
4%
111.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
112.
Solve for x 
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
113.
Solve for x 
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
114.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
115.
Solve for x 
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
116.
Solve for x 
a)
x = 98/5
b)
x = 5/98
c)
x = 101/5
117.
Pat needs 14 sticks of pepperoni to make 28 pizzas.  How many sticks of pepperoni are needed to make 36 pizzas?  
a)
15 pizzas
b)
252 sticks
c)
18 sticks
d)
18 pizzas
118.
A car travels 420 miles in 8 hours.  If the car continues at the same rate, how far will it travel in 12 hours?
a)
630 miles
b)
630 hours
c)
600 miles
d)
540 hours
119.
A bird flies 35 meters in 10 seconds.  If it keeps flying at the same rate, how long will it take it to fly 14 more meters?  
a)
x = 49 seconds
b)
x = 4 meters
c)
x = 49 meters
d)
x =  4 seconds
120.
Just For Feet has 3,115 boxes of shoes on 38 equal size shelves.  If they plan on adding 9 more shelves of the same size, how many more boxes of shoes will they be able to hold?
a)
737 shoes
b)
737 shelves
c)
738 shoes
d)
738 shelves
121.

Ramon travels 20 miles in 20 minutes, how many miles can he travel in 120 minutes?

a)

120 miles

b)

200 miles

c)

10 miles

d)

40 miles

122.
12 ounce shampoo bottle lasts Mike 16 weeks.  How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 weeks
b)
6 weeks
c)
30 weeks
d)
20 weeks
123.
About 13 out of 20 homes have a personal computer.  On a street with 60 homes, how many would you expect to have a personal computer?
a)
7 homes
b)
39 homes
c)
73 homes 
d)
40 homes
124.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
125.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
126.
A shop produces 39 wetsuits every 2 weeks.  How long will it take the shop to produce 429 wetsuits?
a)
18 wk
b)
20 wk
c)
22 wk
d)
24 wk
127.
Natalie was planning a trip to Jordan. Before going, she did some research and learned that the exchange rate is $4 for 3 Dinars. How many Dinars would she get if she exchanged $56?
a)
37 Dinars
b)
42 Dinars
c)
33 Dinars
d)
75 Dinars
128.

The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?

a)

2

b)

4

c)

6

d)

8

129.

It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

a)

3

b)

6

c)

9

d)

12

130.

At a recent party, it cost $9.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?

a)

$760

b)

$76

c)

7600

d)

$76000

131.

Mary had saved $17.50 in the past 3 weeks. At this rate, how much will she save in 15 weeks?

a)

67.50

b)

40.00

c)

87.50

d)

nothing

132.

The park ranger stocks the children's fishing pond keeping a ratio of 4 sunfish to 3 perch. If he puts 300 sunfish into the pond, how many perch should be put into the pond?

a)

400

b)

425

c)

225

d)

525

133.
Of the 50 fish John caught from the lake, 14 were trout.  The estimated population of the lake is 7,500.  About how many trout would you expect to be in the lake?
a)
2,100 trout
b)
2,000 trout
c)
2,200 trout
d)
2,300 trout
134.

A grading machine can grade 48 multiple-choice tests in 1 minute. How log will it take the machine to grade 288 tests?

a)

6 minutes

b)

6.25 minutes

c)

5.25 minutes

d)

5 minutes

135.

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 1,200 people are in line?

a)

120 min

b)

140 min

c)

160 min

d)

180 min

136.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
137.
Solve the proportion.
a)
1
b)
3
c)
6
d)
5
138.
A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 Weeks
b)
24-ounce bottle
c)
10.6 Weeks
d)
10.6-ounce bottle
139.
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?
a)
75 Pieces
b)
27-ounces
c)
27 pieces
d)
75-ounces
140.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
141.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
142.
a)
4
b)
12
143.
Sara can type 90 words in 4 minutes. About how many words would you expect her to type in 10 minutes at this rate?
a)
900 words
b)
180 words
c)
225 words
d)
360 words
144.
Two slices of Dan’s Famous Pizza have 230
Calories. How many Calories would you expect to be in 5 slices of the same pizza?
a)
2.5 calories
b)
575 calories
c)
250 calories
d)
460 calories
145.
Solve the proportion below:
a)
3
b)
24
c)
21
d)
12
146.
Solve the proportion below
a)
21
b)
7
c)
8
d)
24
147.
Solve the proportion below:
a)
5
b)
10
c)
15
d)
6
148.
Solve the proportion below:
a)
42
b)
6
c)
2
d)
28
149.
Solve the proportion below:
a)
418
b)
2
c)
38
d)
11
150.
What is a proportion?
a)
When two ratios can be simplified
b)
When two ratios are equivalent and show the same value
c)
When two ratios have the exact same numbers
d)
When two ratios can be multiplied by 2
151.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
152.
a)
2.5
b)
1
c)
3.25
d)
-2.25
153.
a)
6.25
b)
16
c)
4
d)
3.6
154.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
155.
In a park for 6 people the ticket cost $39. How many dollar does it cost for 9 people
                             
a)
$45.8
b)
$48
c)
$58.50
d)
$52.60

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