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EOG Review Rational Numbers and Ratios/Proporions

Total questions: 73

Worksheet time: 2hrs 26mins

Name
Class
Date
1.
In his garden Tim plants a tomato seed 5¼ inches below the ground. After one month the tomato plant has grown a total of 11½ in. How many inches is the plant above the ground?
HINT: Find the difference.
a)
16¾ inches
b)
6½ inches
c)
6¼ inches
2.
Mrs. Byrne is at her house. She gets in her car and drives north 3.4 miles and stops at Target. Then she turns around and drives south 6.1 miles to go to Mrs. Mangini's house. How far is Mrs. Byrne's house from Mrs. Mangini's house? HINT: Find the difference.
a)
9.3 miles
b)
2.7 miles
c)
3.3 miles
3.
Find −2¼−3⅞
a)
1⅝
b)
−1⅝
c)
−6⅛
4.
The temperature in a town is 34.1°F during the day and −8.6°F at night. Find the difference in the temperatures.
a)
42.7
b)
25.5
c)
42.7°F
d)
25.5°F
5.
A group of friends are rock climbing. Mr. Wharton is 26.4 feet above the ground. Mr. Hall is directly below Mr. Wharton at 14.1 feet above the ground. How far apart are they?
a)
40.5 miles
b)
12.3 miles
c)
12.3 feet
d)
40.5 feet
6.
Convert 11/20 from a fraction to a decimal
a)
5.5
b)
.55
c)
.11
d)
.1120
7.
Which pair shows equivalent numbers?
a)
0.31, 1/3
b)
0.7, 7/100
c)
0.08, 8/10
d)
0.5, 1/2
8.
Write the fraction as a decimal.
5   2/10
a)
52/10
b)
5.210
c)
5.2
d)
5.02
9.
How would you express .005 as a fraction?
a)
5/10
b)
5/100
c)
5/1,000
d)
5/10,000
10.
9 out of 12 students came to the football game. What % attended?
a)
25%
b)
50%
c)
75%
d)
65%
11.
6 out of 8 students will wear red on Monday. What % will wear red?
a)
25%
b)
35%
c)
65%
d)
75%
12.
Jerry bought 6.95 lbs of cherry and lime jelly beans for his birthday party. If 1.75 lbs were cherry flavor, how many pounds were lime flavor?
a)
5.2
b)
8.7
c)
9.7
d)
5.02
13.
Paige was measuring how much taller she got over two years. In the first year she grew 4.62 cm. In the second year she grew 7.7 cm. How much taller did she get altogether?
a)
12.3 cm
b)
3.8 years
c)
12.32 cm
d)
12.32 years
14.
On Tuesday, Terry took a road trip to visit his friends. He travelled 2.25 miles to Frank's house and then 5 1/2 mile to Janice's house before returning home. Using decimals, how many miles did Terry travel on Tuesday?
a)
3.8 miles
b)
7. 60 miles
c)
7. 75 miles 
d)
15.50 miles
15.
⅗+(−⅕)=
a)
b)
−⅖
c)
16.
Which number is farthest from 0?
a)
-6
b)
-4
c)
3
d)
5
17.
What is  |-20| ?
a)
20
b)
-20
c)
1/20
d)
-1/20
18.
Convert  0.75  to fraction form.
a)
3/6
b)
3/4
c)
2/6
d)
1/4
19.
Which of the following are sets of integers?
a)
       5.5, -7.9, 0, 18
b)
       5, -10, 0, 23, -19
c)
2 1/3, 19, -3.79, -5.5, 3 1/4 
20.
Which is greater:  -3 or 1/6
a)
They are equal.
b)
-3
c)
Depends on if it's hot outside.
d)
1/6
21.
Convert 2/25 from a fraction to a decimal
a)
2.25
b)
.25
c)
.8
d)
.08
22.

12 ×29\frac{1}{2}\ \times\frac{2}{9}  

a)

218\frac{2}{18}  

b)

29\frac{2}{9}

c)

 

undefined

d)

  218\frac{2}{18}

23.

25 × 12\frac{2}{5}\ \times\ \frac{-1}{2}  

a)

25\frac{-2}{5}  

b)

110\frac{1}{10}  

c)

15\frac{-1}{5}  

d)

210\frac{2}{10}  

24.

32 ×17\frac{-3}{2}\ \times\frac{1}{7}  

a)

314\frac{3}{14}  

b)

37\frac{-3}{7}  

c)

49\frac{-4}{9}  

d)

314\frac{-3}{14}  

25.

34 × 45\frac{-3}{4}\ \times\ \frac{-4}{5}  

a)

610\frac{-6}{10}  

b)

1220\frac{-12}{20}  

c)

35\frac{3}{5}  

d)

35\frac{-3}{5}  

26.

2 15× 3 122\ \frac{1}{5}\times\ -3\ \frac{1}{2}  

a)

6 110-6\ \frac{1}{10}  

b)

5510\frac{-55}{10}  

c)

7710-7\frac{7}{10}  

d)

5 12-5\ \frac{1}{2}  

27.

2 13 × 58-2\ \frac{1}{3}\ \times\ \frac{5}{8}  

a)

1 712-1\ \frac{7}{12}  

b)

1 1124-1\ \frac{11}{24}  

c)

2 516-2\ \frac{5}{16}  

28.

8 110  × 2 158\ \frac{1}{10\ }\ \times\ -2\ \frac{1}{5}  

a)

89150\frac{891}{50}  

b)

17 415017\ \frac{41}{50}  

c)

17 4150-17\ \frac{41}{50}  

29.

15÷25\frac{1}{5}\div\frac{-2}{5}  

a)

12\frac{-1}{2}  

b)

210\frac{2}{10}  

c)

15\frac{1}{5}  

d)

510\frac{5}{10}  

30.

23÷ 56\frac{-2}{3}\div\ \frac{5}{6}  

a)

1018\frac{-10}{18}  

b)

1215\frac{12}{15}  

c)

45\frac{4}{5}  

d)

45\frac{-4}{5}  

31.

34 ÷ 52\frac{-3}{4}\ \div\ \frac{-5}{2}  

a)

620-\frac{6}{20}  

b)

310\frac{3}{10}  

c)

310-\frac{3}{10}  

d)

158\frac{15}{8}  

32.

3 12÷2 163\ \frac{1}{2}\div-2\ \frac{1}{6}  

a)

6 13-6\ \frac{1}{3}  

b)

6 136\ \frac{1}{3}  

c)

1 813-1\ \frac{8}{13}  

d)

4226\frac{42}{26}  

33.

2 15÷ 4 34-2\ \frac{1}{5}\div\ -4\ \frac{3}{4}  

a)

4495\frac{44}{95}  

b)

4495\frac{-44}{95}  

c)

4420\frac{44}{20}  

d)

4420-\frac{44}{20}  

34.

Which of the following ratios are not equivalent to 1/2

a)

2/4

b)

3/6

c)

6/10

d)

30/60

35.

Which ratio is equivalent to 4/7 with greater terms?

a)

7/10

b)

21/12

c)

12/21

d)

7/4

36.

You spend 2 hours watching t.v. then spend 8 hours sleeping. What is the ratio of t.v. to sleep?

a)

2 : 8

b)

8 : 2

c)

8 to 2

d)

8/2

37.
Solve for A in the table.
a)
A= 40
b)
A= 10
c)
A= 9
d)
A= 45
38.
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
39.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
40.
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
41.

Fill in the table

a)

12

b)

32

c)

2

d)

4

42.
What is the ratio of triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
43.
a)
4
b)
12
44.

10x = 25100\frac{10}{x}\ =\ \frac{25}{100}  

a)

x = 40

b)

x = 2500

c)

x = 250

d)

x = 2.5

45.

47 = 7x\frac{4}{7}\ =\ \frac{7}{x}  

a)

x = 12.25

b)

x = 4

c)

x = 196

d)

x = 1

46.

Solve for B in the table.

a)

B= 40

b)

B= 250

c)

B= 5

d)

B= 10

47.

Solve for C in the table.

a)

C= 40

b)

C= 10

c)

C= 5

d)

C= 45

48.
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
49.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
50.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$1.25 per pound
b)
$1 per pound
c)
$2 per pound
d)
$1.50 per pound
51.
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
52.

If it costs $15.00 for 6 gallons of gasoline, how much will it cost for 8 gallons?

a)

$48.00

b)

$2.50

c)

$20.00

d)

$11.25

53.

A store had 2 blue chairs for $22.78 or 6 red chairs for $67.80. Which color chair has the lower unit price?

a)

2 blue chairs for $22.78

b)

6 red chairs for $67.80

54.

At a candy store you get 7 lollipops for $16.10. How much would it cost to buy 6 lollipops?

(a)  

55.

A video game store was selling games 5 for $102.05. What would be the cost for 3 games?

a)

$20.41

b)

$61.23

c)

$35.00

d)

$15.00

56.

A store sold 4 packs of paper for $7.44. How much would it cost if you bought 5 packs?

a)

$5.95

b)

$1.49

c)

$1.86

d)

$9.30

57.

The book fair sold 5 books for $25.85. How much would 6 books cost?

(a)  

58.

At the market, you can buy 6 bags of apples for $31.02. At the orchard, you can buy 5 bags for $25.40. Which is the better deal?

a)

6 bags of apples for $31.02 (market)

b)

5 bags pf apples for $25.40 (orchard)

59.

At the store, beef jerky was $27.52 for 2 pounds. How much would 5 pounds of beef jerky cost?

a)

$13.76

b)

$5.50

c)

$68.80

60.

An ice company charged $9.60 for 6 bags of ice. How much would 4 bags of ice cost?

(a)  

61.

On Monday, the price for bottled water was 5 bottles for $12.20. On Saturday the price was 3 bottles for $7.65. Which day had the higher unit price?

a)

5 bottles for $12.20

b)

3 bottles for $7.65

62.

In September, a clothing store had a sale where you could get 5 scarves for $28.35. In October, the price was changed to 7 scarves for $40.39. In which month did a scarf cost the most?

a)

September

b)

October

63.

At the toy store, you could get 2 board games for $8.36. Online, the price for 3 board games is $12.84. Which place has the highest price for a board game?

a)

Toy Store

b)

Online

64.

The book fair had a sale where 6 books were $20.46. How much money would you need to buy 7 books?

(a)  

65.

A shoe store was having a back to school sale where you could buy 6 pairs of shoes for $52.62. How much would 3 pairs of shoes cost?

(a)  

66.

At the market you can buy 5 bags of apples for $23.60. At the orchard you can get 7 bags of apples for $32.76. Which is the better deal?

a)

Market

b)

Orchard

67.

A book store was selling 5 books for $26.35. Online, you could buy 2 books for $10.58. Which store has a lower unit price?

a)

Bookstore

b)

Online

68.

A store had 4 blue chairs for $73.48 or 5 red chairs for $91.40. Which color chair had the lower unit price?

a)

Blue

b)

Red

69.

A video game store was getting rid of old games, selling them 3 for $56.28. If the store sold 7 games, how much money would they make?

(a)  

70.

At the store, beef jerky was $44.25 for 3 pounds. How much would 4 pounds of beef jerky cost?

(a)  

71.

A fast food restaurant had 7 boxes of chicken nuggets for $25.90. A competing restaurant had 3 boxes of chicken fingers for $11.07. Which restaurant has a higher unit price?

a)

Restaurant 1 (7 boxes for $25.90)

b)

Restaurant 2 (3 boxes for $11.07)

72.

At the baseball stadium, the price for popcorn is $5.88 for 3 bags. If you wanted to buy 7 bags of popcorn, how much would it cost?

(a)  

73.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound