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Worksheets

Division Patterns and Estimating Quotients

Total questions: 144

Worksheet time: 6hrs 42mins

Name
Class
Date
1.
Estimate: 
297 ÷ 3 
a)
100
b)
50
c)
200
d)
0
2.
Estimate: 
214 ÷ 3 
a)
70
b)
7
c)
200
d)
0
3.
Estimate: 
541 ÷ 9 
a)
60
b)
7
c)
200
d)
0
4.
Estimate: 
1,175 ÷ 4
a)
300
b)
3
c)
200
d)
0
5.
Estimate: 
637 ÷ 8
a)
80
b)
8
c)
200
d)
4
6.
Estimate: 
278 ÷ 7
a)
40
b)
4
c)
200
d)
41
7.
Estimate: 
3,619 ÷ 6
a)
600
b)
60
c)
200
d)
41
8.
Estimate: 
723 ÷ 9
a)
80
b)
800
c)
200
d)
41
9.

Estimate  1,956÷31,956\div3  

a)

400

b)

300

c)

200

d)

500

10.

7,019÷77,019\div7  

a)

100

b)

1,000

c)

10

d)

10,000

11.

552÷9552\div9  

Use multiplication facts and compatible numbers to help estimate each quotient.

a)

40

b)

50

c)

60

d)

70

12.

Estimate the quotient mentally.

404 ÷ 8 =404\ \div\ 8\ =  

a)

40

b)

50

c)

30

d)

60

13.

Estimate the quotient mentally.

362 ÷ 9 =362\ \div\ 9\ =  

a)

20

b)

30

c)

40

d)

50

14.

Estimate the quotient mentally.

254 ÷ 5 =254\ \div\ 5\ =  

a)

30

b)

60

c)

40

d)

50

15.

Estimate the quotient mentally.

1468 ÷ 5 =1468\ \div\ 5\ =  

a)

200

b)

300

c)

400

d)

500

16.

Estimate the quotient mentally.

300 ÷ 7 =300\ \div\ 7\ =  

a)

40

b)

30

c)

60

d)

50

17.

Estimate the quotient mentally.
1,946 ÷ 4 =1,946\ \div\ 4\ =  


a)

400

b)

300

c)

500

d)

600

18.

Estimate the quotient mentally.
900 ÷ 11 =900\ \div\ 11\ =  


a)

70

b)

90

c)

100

d)

80

19.

Estimate the quotient mentally.
628 ÷ 7 =628\ \div\ 7\ =  


a)

80

b)

90

c)

70

d)

60

20.

Estimate the quotient mentally.
2134 ÷ 7 =2134\ \div\ 7\ =  


a)

300

b)

400

c)

200

d)

500

21.

Estimate the quotient mentally.
500 ÷ 8 =500\ \div\ 8\ =  


a)

50

b)

60

c)

70

d)

80

22.
387 ÷ 8
a)
about 40
b)
about 50
c)
about 60
d)
about 70
23.
5,582 ÷ 7
a)
about 700
b)
about 800
c)
about 900
d)
about 1,000
24.
3,340 ÷ 8
a)
about 200
b)
about 300
c)
about 400
d)
about 500
25.
552 ÷ 9
a)
about 30
b)
about 40
c)
about 50
d)
about 60
26.
2,943 ÷ 7
a)
about 300
b)
about 400
c)
about 500 
d)
about 600
27.
776 ÷ 4
a)
about 200
b)
about 300
c)
about 400
d)
about 500
28.
2,013 ÷ 5
a)
about 300
b)
about 400
c)
about 500
d)
about 600
29.
281 ÷ 3
a)
about 70
b)
about 80
c)
about 90
d)
about 100
30.
61 ÷ 2
a)
about 10
b)
about 20
c)
about 30
d)
about 40
31.
7,779 ÷ 7
a)
about 700
b)
about 800
c)
about 900
d)
about 1,000
32.
3,688 ÷ 6
a)
about 500
b)
about 600
c)
about 700
d)
about 800
33.
497 ÷ 8
a)
about 60
b)
about 70
c)
about 80
d)
about 90
34.
5,684 ÷ 9
a)
about 600
b)
about 700
c)
about 800
d)
about 900
35.
5,346 ÷ 6
a)
about 600
b)
about 700
c)
about 800
d)
about 900
36.
508 ÷ 5
a)
about 100
b)
about 200
c)
about 800
d)
about 90
37.
92 ÷ 3
a)
about 30
b)
about 40
c)
about 50
d)
about 60
38.
647 ÷ 3
a)
about 100
b)
about 200
c)
about 300
d)
about 400
39.
3,958 ÷ 8
a)
about 500
b)
about 600
c)
about 700
d)
about 800
40.
224 ÷ 3
a)
about 70
b)
about 80
c)
about 90
d)
about 100
41.
2,438 ÷ 5
a)
about 400
b)
about 500
c)
about 600
d)
about 700
42.
Select the statement with the correctly estimated quotients.
a)
1,703 ÷ 4 is about 600.
b)
3,351 ÷ 8 is about 400.
c)
325 ÷ 5 is about 600.
d)
1,423 ÷ 7 is about 700.
43.

Solve: 35,000 ÷ 700=

a)

500

b)

50

c)

5

d)

15

44.

Solve 3,600 ÷ 600 =

a)

500

b)

700

c)

5

d)

6

45.

Solve 49,000 ÷ 70 =

a)

700

b)

800

c)

600

d)

900

46.

Solve 2,000 ÷ 40 =

a)

800

b)

50

c)

500

d)

80

47.

Solve 14,000 ÷ 2,000 =

a)

7

b)

28

c)

70

d)

280

48.

Solve 6,000 ÷ 20 =

a)

1,200

b)

30

c)

120

d)

300

49.

Solve 4,500 ÷ 90 =

a)

50

b)

500

c)

5,000

d)

5

50.

Solve 64,000 ÷ 80 =

a)

800

b)

8

c)

80

d)

8,000

51.

Solve 9,000 ÷ 3,000 =

a)

30

b)

3,000

c)

3

d)

300

52.

Solve 4,000 ÷ 80 =

a)

200

b)

50

c)

500

d)

20

53.

Estimate the quotient using compatible numbers. 2,460 ÷ 81

a)

30

b)

3

c)

80

d)

300

54.

Estimate the quotient using compatible numbers. 3,129 ÷ 42

a)

800

b)

40

c)

8

d)

80

55.

Estimate the quotient using compatible numbers. 488 ÷ 68

a)

9

b)

7

c)

70

d)

700

56.

Estimate the quotient using compatible numbers. 953 ÷ 13

a)

12

b)

800

c)

8

d)

80

57.

Estimate the quotient using compatible numbers. 5,355 ÷ 88

a)

90

b)

60

c)

6

d)

600

58.

Estimate the quotient using compatible numbers. 7,301 ÷ 76

a)

80

b)

9

c)

90

d)

8

59.

Estimate the quotient using compatible numbers. 1,763 ÷ 57

a)

30

b)

3

c)

6

d)

60

60.

Estimate the quotient using compatible numbers. 6,204 ÷ 67

a)

7

b)

70

c)

9

d)

90

61.
Estimate the quotient. Choose the best answer.
234 ÷ 41 =
a)
60
b)
40
c)
6
d)
12
62.
Estimate the quotient. Choose the best answer.
597 ÷ 28 = 
a)
20
b)
50
c)
2
d)
30
63.
Erin has 598 goldfish to split between 22 fish tanks. About how many goldfish are in each tank? Choose the best answer
a)
3 goldfish in each tank
b)
20 goldfish in each tank
c)
12 goldfish in each tank
d)
30 goldfish in each tank
64.
Rocco has 289 stuffed animals. He has 9 bins to put all of his stuffed animals in. About how many stuffed animals will go in each bin? Choose the best answer.
a)
160 bins
b)
10 bins
c)
30 bins
d)
18 bins
65.
John Paul wants to buy baseball sets for his friends. If he spends a total of $325, and each set is $40, about how many sets did John Paul purchase? Choose the best answer.
a)
80 sets
b)
40 sets
c)
4 sets
d)
8 sets
66.
Compatible numbers are:
a)
Fake numbers
b)
Numbers you make up
c)
Numbers that help make math easier and are friendly
d)
Numbers that hold hands
67.
When estimating 372 divided by 41, it should be changed to
a)
400 divided by 40
b)
360 divided by 40
c)
370 divided by 50
d)
300 divided by 50
68.
There are 82 students and 4 teachers. If the students are split into class as evenly as possible, about how many students are in a class?
a)
20
b)
25
c)
30
d)
86
69.
When estimating 278 divided by 31, what would be the best numbers to change 278 and 31 to
a)
300 divided by 30
b)
27 divided by 3
c)
270 divided by 30
d)
300 divided by 20
70.
When estimating with division, you should
a)
find compatible numbers closest to the original numbers and divide
b)
Round to the nearest ten and divide no matter what
c)
just divide
d)
?
71.

What is the best estimate for: 162 ÷ 3

a)

160 ÷ 3 = 50

b)

200 ÷ 3 = 70

c)

150 ÷ 3 = 50

d)

180 ÷ 3 = 60

72.

What is the best estimate for: 516 ÷ 8

a)

480 ÷ 8 = 60

b)

500 ÷ 10 = 50

c)

560 ÷ 8 = 70

d)

560 ÷ 10 = 56

73.

What is the best estimate for 340 ÷ 3 =

a)

340 ÷ 3 = 120

b)

300 ÷ 3 = 100

c)

320 ÷ 3 = 80

d)

330 ÷ 3 = 110

74.

125 ÷ 5 = ?

a)

52

b)

250

c)

25

d)

2.5

75.
The answer to a division problem is called the __________________.
a)
divisor
b)
dividend
c)
quotient
d)
product
76.

720 ÷ 90720\ \div\ 90  =  

72 tens divided by 9 tens = ?

a)

8

b)

80

c)

800

77.

320 ÷ 40320\ \div\ 40  

a)

6

b)

60

c)

8

d)

80

78.

9000 ÷ 309000\ \div\ 30  

a)

3000

b)

300

c)

30

d)

3

79.

2000 ÷ 402000\ \div\ 40  

a)

8

b)

80

c)

5

d)

50

80.

24,000 ÷ 8024,000\ \div\ 80  

a)

3

b)

30

c)

300

d)

3000

81.

32,000 ÷ 4032,000\ \div\ 40  

a)

8000

b)

800

c)

80

d)

8

82.

36,000 ÷ 90036,000\ \div\ 900  

a)

40

b)

400

c)

30

d)

300

83.

40,000 ÷ 5040,000\ \div\ 50  

a)

800

b)

2000

c)

200

d)

8000

84.

42,000 ÷ 6042,000\ \div\ 60  

a)

700

b)

7000

c)

800

d)

8000

85.

54,000 ÷ 60054,000\ \div\ 600  

a)

8

b)

80

c)

9

d)

90

86.

49,000 ÷ 7049,000\ \div\ 70  

a)

60

b)

600

c)

700

d)

70

87.

56,000 ÷ 8056,000\ \div\ 80  

a)

7

b)

70

c)

700

d)

7000

88.

A carton of staples has 50 packages. The carton contains 25,000 staples in all. Each package has an equal number of staples. How many staples are in each package?

a)

25

b)

250

c)

50

d)

500

89.

A railroad car container can hold 42,000 pounds. Mr. Evans wants to ship 90 ovens and some freezers in the same container. Ovens weigh 200 pounds each. Freezers weigh 600 pounds each. How many freezers could be shipped in the container?

a)

30 freezers

b)

40 freezers

c)

50 freezers

d)

60 freezers

90.

  320÷40320\div40  

a)

8

b)

6

c)

9

d)

7

91.

  9000÷309000\div30  

a)

30

b)

3000

c)

300

d)

400

92.

1800 ÷901800\ \div90  

a)

200

b)

300

c)

30

d)

20

93.

32,000 ÷4032,000\ \div40  

a)

8000

b)

800

c)

8

d)

80

94.

56,000÷8056,000\div80  

a)

800

b)

900

c)

700

d)

600

95.

49,000÷7049,000\div70  

a)

70

b)

90

c)

700

d)

900

96.

5,400÷605,400\div60  

a)

90

b)

70

c)

80

d)

60

97.

24,000÷8024,000\div80  

a)

300

b)

30

c)

3000

d)

3

98.

3,600÷903,600\div90  

a)

40

b)

50

c)

60

d)

70

99.

40,000÷5040,000\div50  

a)

9000

b)

900

c)

700

d)

800

100.

2,000÷402,000\div40  

a)

80

b)

50

c)

500

d)

800

101.

42,000÷6042,000\div60  

a)

500

b)

800

c)

700

d)

900

102.

2,000 ÷ 20 =2,000\ \div\ 20\ =  

a)

100

b)

400

c)

200

d)

300

103.

21,000 ÷  = 70021,000\ \div\ _{---\ }=\ 700  

a)

3

b)

30

c)

300

d)

3,000

104.

2,500 ÷50 = 2,500\ \div50\ =\  

a)

50

b)

5

c)

500

d)

10

105.

15,000 ÷ 30 =15,000\ \div\ 30\ =  

a)

5

b)

50

c)

500

d)

5,000

106.

2,400 ÷ 40 =2,400\ \div\ 40\ =  

a)

6

b)

60

c)

600

d)

6,000

107.

32,000 ÷ = 40032,000\ \div_{---\ }=\ 400  

a)

800

b)

8

c)

80

d)

8,000

108.

1,800 ÷ 60 = 1,800\ \div\ 60\ =\  

a)

30

b)

300

c)

3,000

d)

3

109.

100 ÷ 10 =100\ \div\ 10\ =  

a)

10

b)

110

c)

50

d)

1,000

110.

Find each quotient. Use Mental Math.
Q3.  210 ÷30210\ \div30  



(a)  

111.

Find each quotient. Use Mental Math.
Q4.  480÷60480\div60  



(a)  

112.

Find the quotient. Use mental math.
Q5.  15,000÷3015,000\div30  



(a)  

113.

Find the quotient. Use mental math.
Q6.  8,100÷908,100\div90  



(a)  

114.

Find the quotient. Use mental math.
Q7.  2,800÷702,800\div70  



(a)  

115.

Find the quotient. Use mental math.
Q8.  30,000÷5030,000\div50  



(a)  

116.

Find the quotient. Use mental math.
Q9.  1,800÷601,800\div60  



(a)  

117.

Find the quotient. Use mental math.
Q10.  560÷70560\div70  



(a)  

118.

Find the quotient. Use mental math.
Q12.  6,000÷506,000\div50  



(a)  

119.

Find the quotient. Use mental math.

Q11.  360÷60360\div60  



(a)  

120.

Find the quotient. Use mental math.
Q13.  24,000÷6024,000\div60  



(a)  

121.

Find the quotient. Use mental math.
Q14.  2,000÷202,000\div20  



(a)  

122.

Find the quotient. Use mental math.
Q15.  6,300÷906,300\div90  



(a)  

123.

Find the quotient. Use mental math.
Q16. (a)   ÷\div  10 = 24

124.

Find the quotient. Use mental math.
Q17.  21,000÷=70021,000\div_{----}=700  



(a)  

125.

Find the quotient. Use mental math.
Q18.  2,500÷502,500\div50  



(a)  

126.

Find the quotient. Use mental math.
Q19.   72,000÷=8072,000\div----=80  



(a)  

127.

Find the quotient. Use mental math.
Q20.  56,000÷=80056,000\div----=800  



(a)  

128.

Find the quotient. Use mental math.
Q22.  45,000÷9045,000\div90  



(a)  

129.

Find the quotient. Use mental math.
Q25.  32,000÷=40032,000\div----=400  



(a)  

130.

240 ÷\div  8 =

a)

30

b)

3

c)

40

d)

4

131.

630 ÷\div  7 =

a)

8

b)

9

c)

90

d)

80

132.

120 ÷\div  4 =

a)

4

b)

40

c)

3

d)

30

133.

3,600 ÷\div  6 =

a)

500

b)

600

c)

60

d)

6

134.

8,100 ÷\div  9 =

a)

900

b)

90

c)

9

d)

800

135.

720 ÷\div  9 =

a)

90

b)

8

c)

80

d)

9

136.

2,100 ÷\div  7 =

a)

40

b)

3

c)

30

d)

300

137.

3,000 ÷\div  6 

a)

500

b)

50

c)

5

d)

5,000

138.

450 ÷\div  9 =

a)

5

b)

50

c)

500

d)

5,000

139.

180 ÷\div  3 =

a)

6,000

b)

600

c)

6

d)

60

140.

240 ÷\div  6 =

a)

4,000

b)

400

c)

40

d)

4

141.

400 ÷\div  4 = 

a)

1

b)

10

c)

100

d)

1,000

142.

7,000 ÷\div  7 =

a)

1

b)

10

c)

1,000

d)

100

143.

560 ÷\div  7 =

a)

8

b)

8,000

c)

80

d)

800

144.

100 ÷\div  5 =

a)

2,000

b)

2

c)

20

d)

200