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Proportional Reasoning

Total questions: 36

Worksheet time: 2hrs 44mins

Name
Class
Date
1.

Which sentence accurately represents the following ratio:

a)

The ratio of moons to suns is 4 to 8

b)

There are 4 moons for every 8 suns

c)

There are 4 moons for every 2 suns

d)

The ratio of suns to moons is 2:1

2.

A cookie recipe calls for 3 cups of flour and 2 cups of chocolate chips. What is the ratio of chocolate chips to flour?

a)

3 : 2

b)

3 to 2

c)

6 : 4

d)

2 : 3

3.

For a single batch of cookies, a recipe calls for 2 eggs and 3 cups of flour. How much flour and how many eggs are needed to make 3 batches?

a)

6 eggs and 9 cups of flour

b)

6 cups of flour and 9 eggs

c)

8 eggs and 12 cups of flour

d)

12 eggs and 8 cups of flour

4.

Are these ratios equivalent?

23\frac{2}{3}  and  89\frac{8}{9}  

a)

yes

b)

no

5.

The ratio of girls to boys at basketball practice is 2:3. If there are 12 girls at practice then how many boys are there?

a)

15

b)

18

c)

20

d)

21

6.

What value is missing from the top right corner of the ratio table?

a)

12

b)

11

c)

10

d)

9

7.

What value is missing from the middle row of the ratio table?

a)

16

b)

8

c)

32

d)

4

8.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
9.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
10.
Which is the "better buy"?  A 12 ounce can of corn for $1.92 of  a 20 ounce can of corn for $3.00?
a)
They are the same
b)
The  20 ounce can
c)
The 12 ounce can
11.
Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz
a)
Oreos
b)
Chips Ahoy
12.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

13.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

14.
Tickets to Disney World are $100.The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?
a)
25%
b)
18%
c)
20%
d)
50%
15.

Last year the enrollment at Clark Middle School was 465 students. This year the enrollment is 525 students. What is the percent of increase? Round to the nearest percent.

a)

113%

b)

100%

c)

13%

d)

87%

16.

In a library there are 120 new books. 35 books are fictions, 25 books are biography, and the rest are children books. What percentage of the new books are children books?

a)

45%

b)

70%

c)

30%

d)

50%

17.

What is 30% of 450?

a)

30

b)

135

c)

450

d)

100

18.
What percent of 25 is 60?
a)
24%
b)
2.4
c)
240%
d)
100%
19.

82% of what is 95?

a)

115.9

b)

77.9

c)

100

d)

112

20.

A jogging route is 10km long. Zaman has jogged 4km. What percentage of the route has Zaman jogged?

a)

4%

b)

10%

c)

80%

d)

40%

21.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter? 
a)
35%
b)
25%
c)
30%
d)
20%
22.

What is the equivalent percent to 0.05?

a)

50%

b)

500%

c)

5%

d)

0.05%

23.

What is the equivalent percent to 0.46?

a)

46%

b)

4.6%

c)

0.46%

d)

460%

24.

What is the equivalent percent to 0.08?

a)

0.08%

b)

8%

c)

80%

d)

800%

25.

What is the equivalent decimal to 14%?

a)

0.14

b)

1.4

c)

14.00

d)

0.014

26.

How much is 10% of $30?

a)

$15

b)

$5

c)

$10

d)

$3

27.

What is 20% of $80?

a)

$1.60

b)

$25

c)

$16

d)

$8

28.

Ashton is saving money to buy a new bike. He needs $120 but has only saved 60% so far. How much more money does Ashton need to save?

a)

$72.00

b)

$60.00

c)

$48.00

29.
At Pizza Pi 9% of the pizza's made last week had extra cheese. If 27 pizza's had extra cheese, how many pizza's in all were made last week?
a)
300
b)
36
c)
30
d)
3
30.

Johnny bought a computer that was 20% off the regular price of $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price Johnny paid for it?

a)

$302.40

b)

$864.00

c)

$933.12

d)

$1382.40

31.

Jill bought a sweater at the sale price of $25. The original cost of the sweater was $40. What percent represents the discount that Jill received when buying the sweater?

a)

15%

b)

37.5%

c)

60%

d)

62.5%

32.

Condoleeza's service charge at a beauty salon was $72.60 before tax. The sales tax rate was 8%. If she added 20% of the amount as a tip, how much did she pay for the service at the salon?

a)

$87.12

b)

$92.93

c)

$100.60

d)

$145.20

33.

A group of friends went to lunch. The bill, before sales tax and tip, was $37.50. A sales tax of 8% was added. The group also tipped 18% on the amount after the sales tax was added. What was the total amount of money that the group paid for the lunch?

a)

$47.79

b)

$40.50

c)

$3.00

d)

$63.50

34.

Jabari bought a model rocket kit from Glamazon.com. The price of the kit was $124.95. The state sales tax of 7% was added, and then a $10 charge for shipping was added after the sales tax. What was the total amount that Jabari paid, including tax and shipping?

a)

$141.95

b)

$8.75

c)

$143.70

d)

$133.70

35.

A sweater originally cost $37.50. Last week, Nya bought it at 20% off. How much money was deducted from the original price?

a)

$7.50

b)

$17.50

c)

$20.00

d)

$30.00

36.

Grammy is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%, what is the sale price of the jeans including tax?

a)

$21.60

b)

$34.56

c)

$42.34

d)

$44.16