Free Printable Number System Fluency

1.

Represent the greatest common factor of 36 and 8 using the distributive property.

36 + 8 =

a)

4 x (9+2)

b)

2 x (18 + 4)

c)

8 x (5 + 2)

d)

11 x (3 + 1)

2.

Havier's Bakery sells donuts in packages of 3 and cookies in packages of 5. Today the bakery sold the same number of cookies and donuts. What is the smallest number of donuts that the bakery could have sold?

a)

5

b)

30

c)

15

d)

6

3.

Sue has 18 CDs and 30 DVDs. He wants to place them onto the greatest number of shelves so that each shelf has the same number of CDs and the same number of DVDs. How many shelves will he use?

a)

2

b)

5

c)

3

d)

6

4.

Meg's hourly salary is $7.75. Last week she worked a 30-hour week. How much did she earn?

a)

$37.75

b)

$180

c)

$232.50

d)

$275

5.

Bob has $25 to spend on the school field trip. After paying $14.00 for the cost of the field trip and $5.25 for lunch, how much will he have left?

a)

$5.75

b)

$12.75

c)

$12.00

d)

$18.50

6.

a)

516

b)

471

c)

542

d)

567

7.

Steve and three of his friends are sharing 82 ounces of cranberry juice. How many ounces will each person get if the juice is shared equally?

a)

20 ounces

b)

21 ounces

c)

27 1/3 ounces

d)

20 1/2 ounces

8.

An entire chocolate cake has 5,320 calories. If the cake is equally divided into 14 pieces, how many calories are in each piece?

a)

354

b)

380

c)

483

d)

408

9.

The fourth graders have been collecting rocks all year. Their collection now contains 2,187 rocks. They plan to divide the rocks evenly between nine boxes. How many will fit in each box?

a)

233

b)

24

c)

243

d)

254

10.

Add the decimal into this number:
2.39 x 4.37 = 104443

a)

10.4443

b)

104.443

c)

10444.3

d)

1.04443

11.

The decimals do NOT have to be lined up with which operation?

a)

addition

b)

subtraction

c)

multiplication

12.

3.24 ÷ 0.6 =

a)

5.25

b)

0.54

c)

5.4

13.

It rained 0.72 inches on Monday. On Tuesday, it rained 0.34 inches less than on Monday. How much did it rain on Tuesday?

a)

.38

b)

.37

c)

.39

d)

1.08

14.

How many decimal places are in the product (answer) for 345.2 x 6.987?

a)

1

b)

3

c)

4

d)

8

15.

What is the LCM (Least Common Multiple) of 4 and 10?

a)

4

b)

40

c)

15

d)

20

16.

Find the LCM of 18 and 24

a)

6

b)

72

c)

24

d)

5

17.

GCF 24 and 36

a)

8

b)

6

c)

12

d)

4

18.

Sara had 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets that she can make?

a)

4

b)

2

c)

48

d)

8

19.

List all the factors of 12

a)

1, 2, 3, 4, 6, 12

b)

1, 2, 4, 12

c)

1, 12

d)

1, 2, 3, 4, 5, 6, 12

20.

51 is a _____________ of 3

a)

Factor

b)

Multiple

21.

Which is a NOT a factor of 9?

a)

0

b)

1

c)

3

d)

9

22.

Change $5\frac{3}{4}$ to an improper fraction.

a)

$\frac{15}{4}$

b)

$\frac{23}{4}$

c)

$\frac{12}{4}$

d)

$\frac{15}{20}$

23.

Turn $\frac{98}{10}$ into a mixed number.

a)

$9\frac{5}{4}$

b)

$5\frac{49}{5}$

c)

$5\frac{9}{4}$

d)

$9\frac{4}{5}$

24.

Mrs. Gair bought 9 ft of ribbon. She wants to cut the ribbon into pieces that are each 2/3 ft long. How many full sized 2/3ft strips pieces can Mrs. Gair cut?

a)

12

b)

13

c)

$\frac{27}{2}$

d)

6

25.

What is the reciprocal of $2\ \frac{1}{4}$ ?

a)

$\frac{9}{4}$

b)

$\frac{4}{9}$

c)

2 $\frac{2}{8}$

d)

$\frac{18}{8}$

26.

a)

3 2/7

b)

4 ⁴/₇

c)

⁵⁷/₉

d)

5 ¹/₂

27.

Match the following

a)

$\frac{2}{4}\div\frac{5}{6}$

1.

$\frac{2}{4}\ \times\frac{6}{5}$

b)

$\frac{4}{2}\div\frac{5}{6}$

2.

$\frac{4}{2}\ \times\frac{6}{5}$

c)

$\frac{2}{4}\div\frac{6}{5}$

3.

$\frac{2}{4}\ \times\frac{5}{6}$

d)

$\frac{4}{2}\div\frac{6}{5}$

4.

$\frac{4}{2}\ \times\frac{5}{6}$

28.

Find the quotient. Write your answer in simplest form.

$6\ \frac{1}{2}\ \div\ 2\frac{1}{6}$

(a)

29.

Find the quotient. Write your answer in simplest form.

$6\ \div\ \frac{1}{4}$

(a)

30.

Mr. Lee's 6th grade class is putting on a play. He reserved the first 6 rows of the auditorium for family members & friends of the 24 students in his class. If each row has 17 seats & each student can invite the same number of guests, how many guests can each student invite?

a)

8

b)

5

c)

4

d)

9

31.

A snail travels 0.03 mile per hour. How far will the snail travel in 36.8 hours?

a)

0.1104 miles

b)

1.104 miles

c)

11.04 miles

d)

110.4 miles

32.

One hundred thirty four 6th-grade students sit together in the gym. Each row has 12 seats. How many rows do the 6th-graders need?

a)

10 5/6

b)

132

c)

11 1/6

d)

146

33.

Rusty has $25.45 in the bank and $16.18 in his wallet. He wants to purchase a sweater that costs $49.99. How much more money does he need?

a)

$41.63

b)

$33.81

c)

$24.54

d)

$8.36

34.

Write the sum as a product of the GCF and a sum: 39 + 91.

a)

13(26 + 78)

b)

13(3 + 7)

c)

39 x 91

d)

3(13 + 7)

35.

Apples cost $1.29 per pound. How much would a bag of apples weighing 4.7 pounds cost?

a)

$0.27

b)

$6.06

c)

$2.70

d)

$3.64

36.

You have 7/8 cup of sour cream to make tacos. If each taco requires 1/16 cup of sour cream, how many tacos can you make?

a)

7/128 taco

b)

1/14 taco

c)

14 tacos

d)

15 tacos

37.

A skyscraper with 102 floors is 1,326 feet tall. Each floor is the same height. How tall is each floor?

a)

13 feet

b)

14 feet

c)

13.2 feet

d)

14.2 feet

38.

A baker has 72 vanilla cupcakes and 80 chocolate cupcakes. She wants to make platters for a party that have both kinds of cupcakes and the same total number of cupcakes on each platter. What is the greatest number of platters she can make with no cupcakes left over?

a)

6 platters

b)

7 platters

c)

8 platters

d)

9 platters

39.

A 10 -inch long pipe is cut into 8 equal length pieces. How long is each piece?

a)

1 3/4 inches

b)

1/4 inches

c)

1 1/4 inches

d)

1 1/2 inches

40.

Which of these is a factor of 15?

a)

2

b)

3

c)

10

d)

30

41.

Which is not a factor of 36?

a)

3

b)

6

c)

36

d)

72

42.

Rose picked 18 tulips and 20 daffodils. She divided the flowers into groups so that the same number of tulips and daffodils were in each bouquet. What is the greatest number of bouquets she could have made?

a)

2

b)

5

c)

90

d)

180

43.

Which of the following is a multiple of 8?

a)

4

b)

8

c)

20

d)

100

44.

Every fourth visitor to a museum gets a free bumper sticker. Every tenth visitor to that museum gets a free key chain. Which visitor each day will be the first one to get both the bumper sticker and the key chain?

a)

tenth

b)

twentieth

c)

fortieth

d)

hundredth

45.

Which pair of numbers has a LCM of 12?

a)

1 and 6

b)

2 and 3

c)

2 and 6

d)

3 and 4

46.

Which is the way to express 18 +24 as the product of the GCF and another sum?

a)

2(9 + 12)

b)

3(6 + 8)

c)

4(4 + 6)

d)

6(3+ 4)

47.

Gabriella volunteers at the hospital every 4th day. She volunteers at the food pantry every 6th day. She volunteered at the hospital and the food pantry both on March 31. On what date will she next volunteer at both?

a)

April 12

b)

April 16

c)

May 1

48.

Connor bought 40 pencils for $0.35 each. Mara bought 70 pencils at the same price. How much more money did Mara spend?

a)

$3.50

b)

$10.50

c)

$14.00

d)

$24.50

49.

Fran reads 54 pages per hour. If she reads a total of 257 pages one weekend, how many hours to the nearest hundredth does she read?

a)

4.76

b)

4

c)

5

d)

47.59

50.

5 ÷ ⅕

a)

⅕

b)

1/25

c)

5

d)

25

51.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

52.

A team of runners is needed to run a ¹/₄ mile relay race . If each runner must run ¹/₁₆ mile. How many runners do they need to run the race?

a)

4

b)

5

c)

1/64

d)

2

53.

What is the reciprocal of 5?

a)

5/1

b)

1/5

54.

Calculate
7.8÷0.03

a)

2.6

b)

26

c)

260

d)

.26

55.

The Bell family traveled and drove 10.9 hours; then 8.6 hours; then 12.4 hours. What is the sum?

a)

31.9 hours

b)

30 hours

c)

31 miles

d)

31.8 hours

56.

Jason is making a banner to support a local sports team. He bought a paper that was 72.58 inches long. He cuts 3.213 inches from the length. How long is the banner after Jason cut it?

a)

69.367

b)

69.367 inches

c)

69.357 inches

d)

69.387 inches

57.

Annie buys shoes and top for $47.82 and $13.36 She gives $100. Whats her change approximately?

a)

$30

b)

$38

c)

$29

d)

$39

58.

You have 7/8 cup of sour cream to make tacos. If each taco requires 1/16 cup of sour cream, how many tacos can you make?

a)

7/ 28 taco

b)

1/14 taco

c)

14 tacos

d)

15 tacos

59.

How many 1/2 cup servings are there in 7/8 cup of peanut butter?

a)

1/16

b)

7/16

c)

4/7

d)

1 and 3/4

60.

Divide. 3/7 ÷ 17/19

a)

3/133

b)

57/119

c)

51/133

d)

119/57

61.

Nima uses 2/3 cup peanuts, 1/2 cup cashews, 3/4 cup pecans and some raisins in a recipe that makes 2 and 1/4 cup of trail mix. How many cups of peanuts are there per cup of trail mix?

a)

2/9

b)

3/9

c)

8/27

d)

27/8

62.

What is the reciprocal of 10?

a)

1/10

b)

10/1

c)

1/5

d)

2/10

63.

An art teacher has 192 containers of paint for 17 students. If the teacher wants to provide each student with an equal number of containers, how many containers will be left over?

a)

0

b)

5

c)

7

d)

18

64.

Select the correct answer. A local theater can seat 2,254 people into 98 rows. There are how many seats in each row?

a)

15

b)

20

c)

23

d)

32

65.

Which of the following is not a factor of 12?

a)

5

b)

2

c)

6

d)

4

66.

Which of the following is the GCF of 40 and 48?

a)

6

b)

8

c)

12

d)

5

67.

Lee is sewing vests using 16 green buttons and 24 blue buttons. All the vests are identical, and all have both green and blue buttons. What is the greatest number of vests Lee can make?

a)

2

b)

48

c)

8

d)

1

68.

Which of the following is a factor of 30?

a)

10

b)

60

c)

4

d)

8

69.

What is the GCF of 36 and 45?

a)

12

b)

9

c)

4

d)

11

70.

Find the sum of 13.389 and 1.24.

a)

13.513

b)

14.529

c)

14.62

d)

14.629

71.

Find the difference between 102.596 and 10.478.

a)

92.118

b)

92.128

c)

112.122

d)

1912.118

72.

Find the product of 1.8762 and 4.2.

a)

7.88004

b)

78.8004

c)

788.004

d)

7880.04

73.

Find the quotient of 0.09975 and 0.007.

a)

1.425

b)

14.25

c)

142.5

d)

1425

74.

What is the least common multiple (LCM) of 4 and 10?

a)

4

b)

40

c)

15

d)

20

75.

What is the least common multiple (LCM) of 6 and 8?

a)

6

b)

8

c)

48

d)

24

76.

Which expression is equivalent to 90+63?
Use the picture to help your thinking.

a)

9(10+7)

b)

9+(10*7)

c)

9+10+7

d)

9*10*7

77.

Which expression is equivalent to 35+21?
Use the picture to help your thinking.

a)

7+5+3

b)

7+(5*3)

c)

7(5+3)

d)

7*5*3

78.

During the winter months, Starbucks has a sale every 10 days and McCafe has a sale every 6 days. If stores had a sale today, when is the next time both stores will have sales on the same day?

a)

60

b)

2

c)

30

d)

24

79.

Tony has $50 on his card. After paying $22 for his ticket to the game and $12 for his food, how much will he have left?

a)

$26

b)

$24

c)

$10

d)

$16

80.

Wal-Mart is paying $17 an hour for employees to work 25 hour weeks. How much would their check be for three weeks?

a)

$1525

b)

$1000

c)

$425

d)

$1275

81.

Chelsey has 12 CD's and 24 DVD's. She wants to place them onto the greatest number of shelves so that each shelf has the same number of CD's and the same number of DVD's. How many shelves will she use?

a)

12

b)

6

c)

24

d)

48

82.

Represent the greatest common factor of 45 and 30 using the distributive property.

45 + 30 =

a)

3 x (15 + 10)

b)

5 x (9 + 6)

c)

15 x (2 + 3)

d)

15 x (3 + 2)

83.

What is a possible integer that could be between -6 and 2 on a number line?

a)

4

b)

-8

c)

3

d)

-3

84.

Which of these terms is NOT an example of a negative number?

a)

credit

b)

below zero

c)

withdraw

d)

owe

85.

Which of these terms do not fit in the following sentence? "I ______ $100 in the bank. The integer is +100."

a)

lost

b)

deposited

c)

gained

d)

received

86.

Finish this statement: "The opposite of 7 is......

a)

7 units to the right of zero

b)

7

c)

7 units to the left of zero

d)

14 units to the left of zero

87.

What is the decimal equivalent of 4/25?

a)

16%

b)

0.16

c)

1.6

d)

0.08

88.

What is the fraction equivalent of 0.40?

a)

40%

b)

1/25, 2/50, 4/100

c)

4/5, 20/25, 40/50, 80/100

d)

2/5,10/25,20/50,40/100

89.

Which of these lists is ordered from greatest to least?

a)

-10, -1, 2, 6

b)

1.8, 1/2, 1/4

c)

0.6, 0.30, 70%

d)

6, -6, -8, 8

90.

Which of these rational numbers is farthest to the left of a number line?

a)

-8/3

b)

-3

c)

-2.3

d)

-10/7

91.

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

92.

Which inequality relates to the following situation: a loss of $35 is worse than a gain of $15.

a)

-35 < 15

b)

-35 > 15

c)

35 < -15

d)

35 > -15

93.

Sara had 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets that she can make?

a)

4

b)

2

c)

48

d)

8

94.

Lisa is making activity baskets to donate to charity. She has 12 coloring books and 36 crayons. What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?

a)

2

b)

12

c)

36

d)

6

95.

Two neon signs are turned on at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?

a)

48 seconds

b)

45 seconds

c)

16 seconds

d)

8 seconds

96.

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?

a)

14 days

b)

24 days

c)

34 days

d)

44 days

97.

If gas costs $2.35 a gallon, and it takes 16.3 gallons to fill Mr. Kaiser's tank, how much will it take to fill the tank?

a)

$38.36

b)

$38.31

c)

$16.91

d)

$33.95

98.

Jackie earns $8.95 per hour. This week she worked 7.5 hours. How much did she earn this week?

a)

$67.125

b)

$67.12

c)

$67.13

d)

$68.00

99.

3/5 ÷ 5/6 =

a)

18/25

b)

1/2

c)

5/10

d)

18/10

100.

What is the reciprocal of 12/7?

a)

7/12

b)

1 5/7

c)

3/6

d)

12/7

101.

How many ¼ cup servings are in ⅝ cup?

a)

5/32

b)

⅜

c)

⅞

d)

2½

102.

How many ½ cup servings are in ⅓ cup of milk?

a)

⅙

b)

⅖

c)

⅔

d)

1½

103.

Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]

a)

-1, -5, 0, 1, 3, 10, 16

b)

16, 10, 3, 1, 0, -1, -5

c)

-5, -1, 0, 1, 3, 10, 16

d)

0, -1, 1, 3, -5, 10, 16

104.

Which situation could the integer -50 represent?

a)

An increase of $50 in a bank account

b)

The temperature on a warm spring day

c)

The distance driven on the way to the beach

d)

A decrease of 50 employees

105.

Order from least to greatest:
[8, 4, -5, 12, -14, 3]

a)

3, 4, -5, 8, 12, -14

b)

-14, -5, 3, 4, 8, 12

c)

12, -14, -5, 3, 4, 8

d)

-5, -14, 3, 4, 8, 12

106.

Order from least to greatest:
[-2, 4, 23, -1, 5, -3, 6]

a)

-3, -2, -1, 4, 5, 6, 23

b)

23, 5, -1, -3, -2, 4, 6

c)

-1, -2, -3, 4, 5, 6, 23

d)

4, 5, 6, 23, -1, -2, -3

107.

Joe ascended up the mountain 82 feet

a)

-82

b)

82

108.

Fill in the blank with the correct sign >, < , or =
-3.4 ________ -2.5

a)

>

b)

<

c)

=

109.

Fill in the blank with the correct sign >, < , or =
-3/4 ________ -4/5

a)

>

b)

<

c)

=

110.

Put the rational numbers in order from least to greatest.
-1, -1.1, -1.5, -1.15, -0.5

a)

^{-1.5, -1.15, -1.1, -1, -0.5}

b)

^{-1.1, -1, -1.5, -1.15, -0.5}

c)

^{-0.5, -1.1, -1, -1.5, -1.15}

111.

Marcia, Jim, Kyle, and Jen decided to participate in Bear Relays to see who could run the fastest. Marcia's time was 56.24 seconds. Jim's time was 56.20 seconds. Kyle's time was 56.287 seconds. Jen's time was 56.29 seconds. Which runner had the fastest time?

a)

Marcia

b)

Jim

c)

Kyle

d)

Jen

112.

Which quadrant contains the point named by (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

113.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

114.

What is the letter is a the the ordered pair (0, 3)?

a)

A

b)

M

c)

R

d)

L

115.

Which point is 7/8?

a)

Point C

b)

Point D

c)

Point E

d)

Point F

116.

What fraction is represented at point B?

a)

4/10

b)

4/11

c)

5/11

d)

5/10

117.

What fraction is represented on the number line?

a)

1/1

b)

2/3

c)

1/2

d)

0/1

118.

Evaluate the expression.
|–5| + 8

a)

3

b)

13

c)

-13

d)

-3

119.

| –3 |

a)

3

b)

-3

c)

0.30

d)

30

120.

Which of the coordinates given could be the fourth point used to form a rectangle?

a)

(3, -6)

b)

(-3, -6)

c)

(-6, 3)

d)

(4, -6)

121.

What are numbers that can be written as a fraction?

a)

irrational

b)

integer

c)

rational

d)

real

122.

What type of decimal never ends and has a pattern?

a)

rational

b)

terminating

c)

irrational

d)

repeating

Number System Fluency

Total questions: 122

Worksheet time: 10hrs 10mins

Similar Resources on Wayground