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Rates, Ratios and Proportional Reasoning

Total questions: 44

Worksheet time: 2hrs 54mins

Name
Class
Date
1.
There are three different types of ratios?
a)
True
b)
False
2.
Which ratio is equivalent to 3:4
a)
12:14
b)
6:8
c)
4:3
d)
20:15
3.
Which ratio is equivalent to 5 to 4
a)
25 to 20
b)
10 to 12
c)
4 to 5
d)
15 to 8
4.
Which ratio is equivalent to 12:20
a)
20:12
b)
2:3
c)
3:5
d)
3:10
5.
If you have 3 pennies, 4 nickels, and 5 dimes which represents the following ratio: nickels to total number of coins?
a)
4:5
b)
3:12
c)
4:12
d)
5:12
6.
The ratio of 6th graders to 7th graders at a basketball game is 4:1.  If there are eight 7th graders, how many 6th graders are there?
a)
28
b)
16
c)
8
d)
32
7.
The three different kinds of ratios include..
Part to Part
Part to Whole
Whole to Part
a)
False
b)
True
8.

There are 21 boys and 6 girls in Mr. Heale's homeroom. What is the ratio of girls to boys?

a)

6:21

b)

21:6

c)

2:7

d)

7:2

9.

Mr. Heale made $90 in 5 hours. What is the unit rate?

a)

$18 per hour

b)

$1 in 18 hours

c)

$90:5h

d)

5 to 90

10.
It costs $8.21 for 3 candy bars. What is the unit price one candy bar? 
a)
2.73
b)
6.90
c)
71.8
d)
76.0
11.
The car travels 440 miles in 8 hours. What is the unit rate?
a)
12 miles in 1 hour
b)
55 miles in 1 hour
c)
110 miles in 1 hour
d)
44 miles in 1 hour
12.
It snowed 14 inches in 5 hours. What is the unit rate?
a)
3 inches
b)
1.5 inches
c)
5 inches
d)
2.8 inches
13.
What is the ratio of total shapes to circles?
a)
3 : 4
b)
4 : 3
c)
7 : 3
d)
3 : 7
14.
On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?
a)
175
b)
185
c)
200
d)
220
15.

Devin can wash 95 cars in 5 days. How many cars does she wash each day?

a)

475 cars per day

b)

19 cars per day

c)

.05 cars per day

d)

15 cars per day

16.
How are rates and unit rates similar?
a)
They both are fractions.
b)
They both compare two different quantities of information.
c)
They are not similar at all.
d)
not here
17.
A rate is a ratio that compares 2 different_______________________________.
a)
people
b)
units/measurements
c)
fractions
d)
denominators
18.
How are rates and unit rates different?
a)
A rate has a denominator of 1.  A unit rate does not.
b)
A rate is just like a fraction.  A unit rate is a ratio.
c)
Rates involve a measurement of time, but unit rates do not.
d)
A rate compares two different quantities.  A unit rate has a denominator of 1.
19.
Which of the following is a UNIT RATE?
a)
10 miles / 2 hours
b)
$6 for each hour
c)
1 box / $3
d)
15 pounds every 5 servings
20.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
21.
Solve the proportion.
a)
k=5
b)
k=45
c)
k=60
d)
k=90
22.

Rylan earns $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

a)

$50 per hour

b)

$12 per hour

c)

$192 per hour

d)

$25 per hour

23.
Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.
a)
Sargento
b)
Velveeta
24.
An eight pack of juice boxes costs $4.79, and a 12 pack of juice boxes cost $6.59. Use this information to calculate the better buy.
a)
8 pack
b)
12 pack
25.
Which option is the better deal?
Doritos
$4.39 for 11.5 oz
or
Cheetos
9.75 oz for $3.24
a)
Doritos
b)
Cheetos
26.
Cheerios 17 ounces for $3.68
    or
Apple Jacks at $2.89 for 13 oz
Which is the better buy?
a)
Cheerios
b)
Apple Jacks
27.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
28.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one 
d)
Two decimals that can be multiplied
29.
There are 15 boys out of 23 students.  What kind of ratio is this?
a)
part to part
b)
part to whole
30.

Hamburger sells for 3 pounds for $6. If Julia buys 10 pounds of hamburger, how much will she pay?

a)

$30

b)

$20

c)

$60

d)

$10

31.

Miss Burnet used 3 cups of flour to make 60 cookies. How many cups of flour did she use to make 90 cookies?

a)

6 c.

b)

30 c.

c)

4 1/2 c.

d)

5 c.

32.

Mr. Biollo drove 160 kilometers in 2 hours. What is the distance he can travel in 6 hours?

a)

540

b)

48

c)

480

d)

54

33.

Keenan bought 4 pairs of sports socks for $9. How many pairs of socks can he buy for $13.50?

a)

8

b)

7

c)

6

d)

5

34.
Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz
a)
Oreos
b)
Chips Ahoy
35.
Solve the proportion below
a)
21
b)
7
c)
8
d)
24
36.
Solve the proportion below:
a)
42
b)
6
c)
2
d)
28
37.

On vacation, Lucas drove 275 miles in 5 hours. Predict how far Lucas will travel at the same rate in the next 3 hours.

a)

440

b)

195

c)

165

d)

55

38.

What is the unit rate if there are 1,760 calories in 8 servings?

a)

176 calories per serving

b)

220 calories per serving

c)

228 calories per serving

d)

14,080 calories per serving

39.

The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee?

a)

$34

b)

$36

c)

$45

d)

$90

40.

Matteo is 6 feet tall and casts a shadow 4 feet long; at the same time, a flagpole casts a shadow that is 50 feet long. How tall is the flagpole?

a)

30 ft

b)

100 ft

c)

75 ft

d)

126 ft

41.

Solve:

a)

1.5

b)

6.5

c)

26

d)

535.5

42.

Solve:

a)

85

b)

30.6

c)

24

d)

0.012

43.

Kelsey is going to the store to buy chocolate chip cookies for the class party. She sees a 16 oz. bag of cookies for $5.99 and a 22 oz. bag for $6.25. Which is the better deal?

a)

They are the same

b)

22 oz. bag

c)

16 oz. bag

d)

neither

44.

Solve:

a)

12.57

b)

9.63

c)

5.09

d)

2.18