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Worksheets

Rational Numbers

Total questions: 81

Worksheet time: 7hrs 45mins

Name
Class
Date
1.

What is the value of −7+12-7 + 12 ?

a)

−19-19

b)

55

c)

−5-5

d)

1919

2.

What is −8−5-8 - 5 ?

a)

−13-13

b)

33

c)

−3-3

d)

1313

3.

Calculate 6×(−4)6 \times (-4) .

a)

2424

b)

−24-24

c)

−10-10

d)

1010

4.

What is −36÷6-36 \div 6 ?

a)

−6-6

b)

66

c)

−30-30

d)

3030

5.

Which of the following is a rational number?

a)

2\sqrt{2}

b)

0.750.75

c)

π\pi

d)

3\sqrt{3}

6.

Convert 34\frac{3}{4} to a decimal.

a)

0.250.25

b)

0.50.5

c)

0.750.75

d)

1.251.25

7.

What is 0.60.6 as a percent?

a)

6%6\%

b)

60%60\%

c)

0.6%0.6\%

d)

600%600\%

8.

Which of the following is NOT a rational number?

a)

−2-2

b)

0.333…0.333\ldots

c)

5\sqrt{5}

d)

78\frac{7}{8}

9.

What is −3×−5-3 \times -5 ?

a)

−15-15

b)

88

c)

1515

d)

−8-8

10.

Convert 0.20.2 to a fraction in simplest form.

a)

12\frac{1}{2}

b)

210\frac{2}{10}

c)

15\frac{1}{5}

d)

25\frac{2}{5}

11.

What is −12+7-12 + 7 ?

a)

−19-19

b)

55

c)

−5-5

d)

1919

12.

Calculate 15÷(−3)15 \div (-3) .

a)

−5-5

b)

55

c)

−12-12

d)

1212

13.

Which of the following numbers is a rational number?

a)

0.121212…0.121212\ldots

b)

7\sqrt{7}

c)

π\pi

d)

ee

14.

Convert 45%45\% to a decimal.

a)

0.0450.045

b)

0.450.45

c)

4.54.5

d)

0.00450.0045

15.

What is −9−(−4)-9 - (-4) ?

a)

−13-13

b)

−5-5

c)

55

d)

1313

16.

What is the result of −2×8-2 \times 8 ?

a)

−16-16

b)

1616

c)

−6-6

d)

66

17.

Convert 58\frac{5}{8} to a percent.

a)

62.5%62.5\%

b)

80%80\%

c)

58%58\%

d)

50%50\%

18.

Which of the following is equivalent to 0.40.4 ?

a)

25\frac{2}{5}

b)

14\frac{1}{4}

c)

45\frac{4}{5}

d)

12\frac{1}{2}

19.

What is −10+(−3)-10 + (-3) ?

a)

−13-13

b)

1313

c)

−7-7

d)

77

20.

Calculate −24÷(−6)-24 \div (-6) .

a)

−4-4

b)

44

c)

−18-18

d)

1818

21.

Which of the following is a rational number?

a)

0.50.5

b)

11\sqrt{11}

c)

π\pi

d)

−3-\sqrt{3}

22.

Convert 0.1250.125 to a fraction in simplest form.

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

12\frac{1}{2}

d)

15\frac{1}{5}

23.

What is 7−(−2)7 - (-2) ?

a)

55

b)

−5-5

c)

99

d)

−9-9

24.

What is −6×3-6 \times 3 ?

a)

−18-18

b)

1818

c)

−9-9

d)

99

25.

Convert 0.60.6 to a fraction in simplest form.

a)

35\frac{3}{5}

b)

23\frac{2}{3}

c)

16\frac{1}{6}

d)

58\frac{5}{8}

26.

What is −15÷5-15 \div 5 ?

a)

−3-3

b)

33

c)

−10-10

d)

1010

27.

Which of the following is NOT a rational number?

a)

0.250.25

b)

−7-7

c)

10\sqrt{10}

d)

34\frac{3}{4}

28.

Convert 75%75\% to a fraction in simplest form.

a)

34\frac{3}{4}

b)

14\frac{1}{4}

c)

12\frac{1}{2}

d)

23\frac{2}{3}

29.

What is −4+9-4 + 9 ?

a)

−13-13

b)

55

c)

−5-5

d)

1313

30.

What is −18−7-18 - 7 ?

a)

−25-25

b)

2525

c)

−11-11

d)

1111

31.

Simplify your answer as much as possible.

a)

27/40

b)

90/12

c)

28/40

d)

12/14

32.
Convert Improper Fraction to Mixed Number
14/3
a)

4134\frac{1}{3}

b)

4234\frac{2}{3}

c)

4124\frac{1}{2}

d)

4344\frac{3}{4}

33.

3 12 + 2 79 =3\ \frac{1}{2}\ +\ 2\ \frac{7}{9}\ =  

Answer in simplest form

a)

6 7186\ \frac{7}{18}  

b)

5 8115\ \frac{8}{11}  

c)

518\frac{5}{18}  

d)

6 5186\ \frac{5}{18}  

34.

2 310 + 2 16 =2\ \frac{3}{10}\ +\ 2\ \frac{1}{6}\ =  

Answer in simplest form

a)

4 7154\ \frac{7}{15}  

b)

4 14304\ \frac{14}{30}  

c)

4 3604\ \frac{3}{60}  

d)

1430\frac{14}{30}  

35.

I. Laney walks 1231\frac{2}{3} miles to school from her house and rides the bus home. If she walked to school five days last week, how many total miles did Laney walk?

a)

162316\frac{2}{3}

b)

3133\frac{1}{3}

c)

6236\frac{2}{3}

d)

8138\frac{1}{3}

36.

J. A class is organizing a going away party for one of their students. They spend $26.38 on decorations, $79.92 on food, and $34.50 on a gift. If there are 15 students in the class who agreed to split the cost evenly, then how much does each person owe?

a)

$140.80

b)

$9.32

c)

$155.80

d)

$10.39

37.

Daniel is purchasing 3 ¼ pounds of cheese that costs $5.99 per pound. How much change will Daniel receive if he gives the cashier $20.00?

a)

$0.53

b)

$0.63

c)

$0.73

d)

$0.83

38.
A pitcher contains  3  1/2 quarts of milk.  Gabrielle pours 1.875 quarts into a smaller pitcher.  How many quarts of milk are left in the first pitcher?
a)
1  3/4  quarts
b)
1  5/8  quarts
c)
1  1/4  quarts
d)
4  3/4  quarts
39.

On Tuesday, Terry took a road trip to visit friends. He travelled 2.25 miles to Frank's house and then 5125\frac{1}{2} miles to Janice's house.

Using decimals, how many total miles did Terry travel on Tuesday?

a)

3.8 miles

b)

7. 6 miles

c)

7. 75 miles

d)

15.5 miles

40.

-4.5 is an example of what kind of number?

a)

whole number

b)

integer

c)

rational number

d)

irrational number

41.
If a plant grows 1/4 cm every day for 21 days, what is the total amount of growth?
a)
82 cm
b)
25 cm
c)
17 1/4 cm
d)
5 1/4 cm
42.

Derek is hanging streamers for the party. Each streamer is 2252\frac{2}{5}   meters long.

If he hangs 3 streamers end to end, what is the total length of the streamers?

a)

1251\frac{2}{5}  meters 

b)

1215\frac{12}{15}  meters 

c)

5255\frac{2}{5}  meters 

d)

7157\frac{1}{5} meters 

43.

I have a 6 foot-long piece of wood that I want to cut to build picture frames. If each piece is going to be 34\frac{3}{4}   foot long, how many pieces will I be able to cut?

a)

8 pieces

b)

6 pieces

c)

12 pieces

d)

24 pieces

44.

There were 1121\frac{1}{2}  pizzas left after the party. John's father ate 34\frac{3}{4}  of the leftovers for a midnight snack. What fraction of a whole pizza did John's father eat?

a)

1181\frac{1}{8}  

b)

43\frac{4}{3}  

c)

48\frac{4}{8}  

d)

1141\frac{1}{4}  

45.

Convert the following fraction into a decimal: 34\frac{3}{4}

a)

0.75

b)

0.66

c)

0.25

d)

0.45

46.

Decimals and integers are both classified (described) as:

a)

whole numbers

b)

integers

c)

rational numbers

d)

irrational numbers

47.

order the following from least to greatest (sketch a number line to help):

55%, 0.67 , 1.24 , 100%

a)

55%, 0.67, 100%, 1.24

b)

100%, 55%, 0.67, 1.24

c)

0.67, 55%, 100%, 1.24

48.

The set of integers includes all of the following except:

a)

-5.2

b)

-467

c)

24

d)

122\frac{12}{2}  

49.
What is 42% expressed as a decimal?
a)
0.42
b)
4.2
c)
42
d)
0.042
50.
Which point is 7/8?
a)
Point C
b)
Point D
c)
Point E
d)
Point F
51.

Which list of integers is in order from greatest to least?

a)
24,  9,  -33,  -24,  -11
b)
-11,  -18,  -33,  9,  24
c)
24,  9,  -11,  -24,  -33
d)
-33,  24,  -18,  -11,  9
52.
Order from least to greatest. 1.25  1.52  1.02  1.50
a)
1.25  1.52  1.02  1.50
b)
 1.52  1.02  1.50  1.25 
c)
 1.02  1.50  1.25  1.52 
d)
1.02  1.25  1.50  1.52
53.

The students at Parkview Sixth Grade School are preparing for a race. The final results are; Jaxon 13.18 sec., Phil 11.02 sec., Riley 15.1 sec., and Nash 13.2 sec. Which runner came in first place?

a)

Riley

b)

Jaxon

c)

Phil

d)

Nash

54.

What fraction is equivalent to 1?

a)

15\frac{1}{5}

b)

3131\frac{31}{31}

c)

36\frac{3}{6}

d)

63\frac{6}{3}

55.

Bell ate 1/4 of a pie. Susan ate 2/8 of a pie. Who ate less pie?

a)

Bell

b)

Susan

c)

They ate the same amount.

56.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
57.
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
a)
28 feet
b)
-28 feet
c)
52 feet
d)
-52 feet
58.
The temperature drops 2°F each hour. What is the total change in temperature after 12 hours?
a)
-24
b)
26
c)
24
d)
-26
59.
The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4. What was the price of a share at the end of the day?
a)
$27
b)
$31
c)
$32
d)
$35
60.
What is the distance between the following 2 integers? -20 and +30
a)
10
b)
-10
c)
-50
d)
50
61.

A client pays for a moving company to move 25 boxes. If the moving company charges $12.50 per box and a base fee of $199.95 to each client, what is the total amount the client pays?

a)

$212.45

b)

$237.45

c)

$312.50

d)

$512.45

62.
A fish is swimming 7 feet below the water's surface. A turtle is swimming 2 feet below the water's surface. What is the difference in feet where the fish and the turtle is?
a)
-9 feet
b)
14 feet
c)
5 feet
d)
9 feet
63.

Mr. Smith has -$275.78 as his account balance. He deposits $539.20 into his account. What is Mr. Smith's account balance now?

a)

$813.98

b)

$263.42

c)

$539.78

d)

$345.98

64.
Jonah had $340.87 in his checking account. He withdrew $52 and wrote a check for $18.72. Find the new balance.
a)
$270.15
b)
$411.59
c)
$374.15
d)
$307.59
65.

Valeria spent all her allowance on candy. She spent $8.45 on chocolate, $5.60 on gum, and $6.85 on jelly beans. She had $1.25 left. How much was her allowance?

a)

$19.65

b)

$20.90

c)

$22.15

d)

$24.50

66.

A diver descends −12.5 meters, then rises​ 7127\frac{1}{2} meters. What is the diver’s new depth?

a)

-5 meters

b)

-20 meters

c)

-4.5 meters

d)

-19.5 meters

67.

Which number has the greatest absolute value?

a)

-15.2

b)

12.75

c)

-13.9

d)

14.1

68.

Convert 0.1250.125 to a fraction in simplest form.

a)

14\frac{1}{4}

b)

18\frac{1}{8}

c)

38\frac{3}{8}

d)

12\frac{1}{2}

69.

Write the percent as a decimal.

7%

a)

0.70

b)

0.07

c)

7.0

d)

.7

70.
Write 19/25 as a percent.
a)
19%
b)
25%
c)
76%
d)
50%
71.
0.81% written as a decimal is... 
a)
81
b)
0.81
c)
0.0081
d)
0.081
72.
What is 12/100 as a percentage?
a)
24 %
b)
12 %
c)
50 %
d)
99 %
73.
What is the fraction equivalent of 40%?
a)
4/100
b)
2/5
c)
2/50
d)
40/1000
74.
Which number is equivalent to 0.08?
a)
0.0008%
b)
0.08%
c)
80%
d)
8%
75.

What sign would your answer have if you multiply a negative by a negative?


For example: -9(-9) =

a)

Positive

b)

Negative

76.

Sarah had two different ribbons. One ribbon was 10 3⁄4 inches long. The other ribbon was 4.6 inches long. What is the difference between the two ribbons?

a)

6.15 inches

b)

15.35 inches

c)

5.8 inches

d)

7.2 inches

77.

Charles has $435.68 in his checking account. What is the balance after he makes a deposit of $40 and a withdrawal of $37.85?

a)

433.53

b)

395.68

c)

475.68

d)

437.83

78.

(-7) (6) (-3)

a)

-126

b)

-84

c)

84

d)

126

79.
Multiply. Write your answer in simplest form.
a)
27/40
b)
-27/40
c)
5/6
d)
-5/6
80.

A bath tub drains at a constant rate. The amount of water changes by -0.75 gallons in one minute. What is the change in the amount of water in the bathtub after 5 minutes?

a)

-3.75 gallons

b)

375 gallons

c)

-0.15 gallons

d)

-37.5 gallons

81.

Knyla runs a mile in 7.50 minutes. Daisy takes 1.30 times as long to run a mile. How long does it take Daisy to run a mile?

a)

6.20 minutes

b)

9.75 minutes

c)

97.5 minutes

d)

975 minutes