CBSE Class 3 Mathematics Division Worksheet Set E

STD – III - DIVISION

I) Fill in the blanks :

1. Division is repeated ________________________________ of the same number.

2. Division is the opposite of ____________________________________.

3. The number to be divided is called the ________________________________.

4. In 20 4 = 5, the dividend is called the ____________________________.

5. The number that we are dividing by is called the ______________________

6. 500 10 = 50, here the divisor is _____________________________

7. The answer in division is called the ______________________

8. In 36 4 = 9 , the quotient is _________________________________.

9. Any number divided by 1 gives the __________________ as the quotient.

10. 455 1 = ______________________________

11. Any number divided by itself will give ____________________ as the quotient.

12. 700 700 = _____________________

13. 20 20 = _______________________

14. Zero divided by any number (except 0) gives _____________________________.

15. 0 30 = ________________________

16. 0 169 = ________________________

17. You cannot divide by _____________________________

18. 64 8 = __________________________

19. Each multiplication fact has a corresponding _______________________

20. The division fact has a corresponding _____________________________

21. The division fact for 6 6 = 36 is ____________________.

22. If 2 9 = 18, then 18 9 = ________________________________

23. If 6 7 = _________________________, then _________________ 7 =6

24. If 8 4 = 32 , then 32 _________________ = ___________________

Fill in the blanks:

1. _____________ times we can take away 6 from 54.

2. If 12 8 = 96, then 96

3. 32 chocolates shared equally among 8 girls gives ____ chocolates to each girl.

4. The answer in division is called _____________.

5. If 8 7 = _____, then _____

6. 0 25 = _____.

7. _________ sevens are there in 42.

8. 64 _____ = 8.

9. 27 in equal group of 3 is _________ groups.

10. 96 1 = _____.

True or false:

1. Division is repeated subtraction ( )

2. 48 ÷ 6 = 8 as 8×6 = 84 (

3. When a number is divided by itself we get zero as the quotient ( )

4. 32 ÷ 4 = 8. Here 4 is called divisor ( )

5. When 0 is divided by any number (other than 0) we get 0 ( )

Underline the correct answer:

1. _______ ÷ 16 = 0

2. 48 ÷ 1 = ________ ( 48, 1, 0 )

3. The number to be divided is called as ____________ ( dividend, divisor, quotient )

4. 63 pencils shared equally by 9 ( 6, 4, 7 )

5. How many times can you take away 4 from 36 ( 9, 8, 7 )

Do as directed:

1. Use repeated subtraction to find the answer.
a) 24 ÷ 6
b) 35 ÷ 5

2. Write two division facts.
a) 8 × 9 = 72
b) 5 × 6 = 30

3. There are 40 butterflies. They are in 8 groups. How many butterflies in each group?

4. There are 6 people in each car. How many cars are there for 54 people?

5.There are 49 chocolates. They are in 7 packets. How many chocolates in each packet?

Challenge

1) There are 42 socks. How many girls can wear these socks ?

2) Find a way out by following numbers that can be divided by 7.

IN → 

                                                           → OUT

LEARNING OBJECTIVES

This lesson will help you to:—
• recognize division as equal sharing.
• understand the concept of division as equal grouping.
• understand properties of division

Real Life Examples
• When you are eating a birthday cake, you have to make equal shares of the cake so that everyone gets their share. For this you divide the cake in equal sizes.
• If you have ₹ 20 and you want to buy chocolates and each chocolate is of ₹ 5. By using the method of division you can find out the number of chocolates you can buy.
Since, 20 ÷ 5 = 4.
So you can buy 4 chocolates

DIAGRAMS/PICTURES
There are 12 daisies. Make groups of 3.

How many groups do you get ?
How many 3’s are in 12?
The answer is 4. So, 12 ÷ 3 = 4.
The symbol ‘÷’ indicates division.
Think: If you DIVIDE 10 into groups of two, how many groups are there?
How many groups of two are there in 10? How many twos are there in 10?
Since 2 + 2 + 2 + 2 + 2 = 10, there are FIVE twos in 10:
10 ÷ 2 = 5
Division is the equal distribution of a given quantity. The number to be divided is called the dividend. The number which divides is called the divisor. The answer is called the quotient. The number left after the division is called the remainder.
Chunmun bought 15 apples from fruit markets.
She placed 15 apples equally in 3 baskets.

Multiplication Facts from Division
It 90 ÷ 3 = 30, then two multiplication facts are 3 × 30 = 90 or 30 × 3 = 90

There were 7 flowers in each vase.
So, 35 ÷ 5 = 7 or
“Thirty five divided by five is seven.”

PROPERTIES OF DIVISION

1. Division by 1: If we divide a number by 1, the result is always the same number.
For example: 15 ÷ 1 = 15, 36 ÷ 1 = 36

2. Dividing a Number by the Same Number: If we divide a number by the same number, the result is always 1.
For example: 24 ÷ 24 = 1, 6 ÷ 6 = 1

3. Zero Divided by Any other Number: If 0 (zero) is divided by any other number the result is always 0 (zero).
For example: 0 ÷ 36 = 0, 0 ÷ 18 = 0

4. A Number Divided by 0 (Zero): Any number divided by 0 (zero) is meaningless.
For example: 9/0 = No value, 50/0 = No value

Historical preview
• The division symbol ‘÷’ is called ‘Obelus’. It was used in 1659 for the first time in an algebra book.

DIVISION AS REPEATED SUBTRACTION
We know that 4 + 4 + 4 = 12 is repeated addition similarly,
12 – 4 – 4 – 4 = 0 is a repeated subtraction.

Shortcut to Problem Solving
• To divide any number by 5, multiply by 2 and divide by 10.
• To divide any number by 25, multiply by four and divide by 100.

RELATION BETWEEN MULTIPLICATION AND DIVISION
20 × 30 = 600 is a multiplication fact.
The division fact for this can be written as:
600 ÷ 30 = 20 or 600 ÷ 20 = 30
Therefore, the multiplication is an inverse of division.

LONG DIVISION
Long division is used for dividing numbers. It breaks down a division problem into the series of easier steps

Do you know?
• If dividend is not completely divisible by divisor then only remainder comes.
• Remainder is always less than divisor.

Question. Find the missing number
24 ÷ 4 : 6 : : 28 ÷ 4 : ?
(a) 5
(b) 6
(c) 7
(d) 8
Answer : C

Question. Pick the odd one out.
A. 2 groups of 6 is same as 12 ÷ 2
B. 2 groups of 4 is same as 8 ÷ 2
C. 2 groups of 7 is same as 21 ÷ 7
D. 2 groups of 8 is same as 16 ÷ 2
(a) D
(b) C
(c) A
(d) B
Answer : B

Question. How many 7’ s there in 63 63 ?
(a) 7
(b) 8
(c) 9
(d) 5
Answer : C

Question. Bala divided 36 with four different numbers and obtained four different answers.
Arrange the facts in the order from largest answer to smallest answer.
A. 36 ÷ 4 B. 36 ÷ 3 C. 36 ÷ 6 D. 36 ÷ 2
(a) BDCA
(b) DBAC
(c) CABD
(d) ADBC
Answer : B

Question. Madhur bought 27 rose bushes and planted them evenly in 3 rows. How many rose bushes are in each row?
(a) 9
(b) 8
(c) 27
(d) 3
Answer : A

Question. When we divide 0 by 3, we get ___________
(a) 0
(b) 1
(c) 2
(d) Not defined
Answer : (A) 0/3 = 0

Question. Rupali clicked 24 pictures. She distributed them equally among 8 friends. How many picture does each friend has?
(a) 8
(b) 4
(c) 3
(d) 24
Answer : C

Question. 112 is divisible by which one of the following numbers?
(a) 2
(b) 5
(c) 3
(d) 6
Answer : D

Question. 30 ÷ 5 = ?
(a) 5
(b) 6
(c) 4
(d) 10
Answer : B

Question. 60 ÷ 10 = ?
(a) 10
(b) 6
(c) 4
(d) 16
Answer : D

Question. Find the missing number in the box.
? → Divided by 4 → Reduced by 7 = 14
(a) 48
(b) 44
(c) 81
(d) 84
Answer : (D) As 84 ÷ 4 = 21
and 21 – 7 = 14

Question. If 3 × 4 = 12; 12 ÷ 4 = ?
(a) 3
(b) 4
(c) 12
(d) 6
Answer : A

Question. If 1 × 3 = 3; 3 ÷ 3 = ?
(a) 3
(b) 9
(c) 6
(d) 1
Answer : D

Question. If 6 × 8 = 48, 48 ÷ 8 = ? 
(a) 5
(b) 4
(c) 6
(d) 8
Answer : C

Question. Which one of the following has the largest value?
(a) 15 of 740
(b) 3 times of (8 × 8)
(c) 15 of 740
(d) 11 × 10
Answer : B

Question. 4 + 4 + 4 + 4 + 4 + 4 + 4 = 28
There are 7 groups of number 4. Which is the correct way to write this ?
(a) 4 × 7
(b) 28 ÷ 4
(c) 7 + 4
(d) 4 × 8
Answer : A

Question. 321 is divisible by which one of the following numbers? (2016, Critical Thinking)
(a) 7
(b) 6
(c) 3
(d) 9
Answer : C

Question. Place 108 mangoes into 12 boxes. How many mangoes do each box contain? (2013)
(a) 8
(b) 12
(c) 9
(d) 3
Answer : (C) Number of mangoes in each box = 108/12 = 9

Question. If the given number ends with 0, we can divide the number by
(a) 10
(b) 11
(c) 3
(d) 0
Answer : A

Question. Look at the two number sentences shown below:
8 × ⬜ = 40, 40 ÷ 8 = ⬜
Which number goes in each box to make each numbers sentence true?
(a) 5
(b) 6
(c) 7
(d) 4
Answer : A

Question.

Answer : (B) Number of groups = 162/54 = 3

Question. Which two pairs are same ?
(a) 3 ÷ 3, 16 ÷ 2
(b) 10 ÷ 2, 12 ÷ 2
(c) 18 ÷ 3, 27 ÷ 3
(d) 4 ÷ 2, 6 ÷ 3
Answer : D

Question. 9 is the quotient and 2 is remainder in a division. If divisor is 8, then the dividend in the division is:
(a) 74
(b) 61
(c) 34
(d) 79
Answer : (A) Dividend = divisor × quotient + remainder
= 8 × 9 + 2 = 74

Question. Arrange 56 mangoes in 7 groups. How many mangoes do each group contain?
(a) 7 mangoes
(b) 3 mangoes
(c) 8 mangoes
(d) 2 mangoes
Answer : (C) Number of mangoes in each group = 56/7 = 8

Question. In an examination hall, 500 chairs were arranged equally in 10 rows. How many chairs are there in each row?
(a) 5000
(b) 50
(c) 100
(d) 200
Answer : (B) Number of chairs in each row = 500/10 = 50.

Question. How much amount will each get if ₹ 1205 is distributed equally among 5 people?
(a) ₹241
(b) ₹242
(c) ₹251
(d) ₹211
Answer : (A) Required amount that each person will get = 1205/5 = ₹ 241

Question. Any number divided by zero will give the answer as —
(a) zero
(b) one
(c) Infinity
(d) None of these
Answer : D

Question. Shama reads 24 pages daily of comics book. If a book has total of 360 pages, then in how many days she finishes the book?
(a) 12
(b) 13
(c) 14
(d) 15
Answer : (D) Required number of days in which Shama finishes the book = 360/24 = 15 days

Question. A container contains 560 wooden box. How many containers are required for 6720 wooden box?
(a) 15
(b) 13
(c) 14
(d) 12
Answer : (D) Number of containers required = 6720/560 = 12

Question. There are 564 people in a group. If they are divided into four equal groups how many people will be there in each group.
(a) 109
(b) 141
(c) 100
(d) 140
Answer : (B) Number of people in each group = 564/4 = 141

Question. A bike travels a distance of 65 km in 1 hour. How many kilometres will it cover in 10 days, if the bike runs 4 hours in a day? (2011)
(a) 2600 km
(b) 2649 km
(c) 2660 km
(d) 2640 km
Answer : (A) ∴ Distance covered in 4 hours = 65 × 4 = 260
∴ Distance covered in 10 days = 260 × 10 = 2600 km

Question. Mrs. Rosy loves roses. She has all types of roses in her garden. She has 24 red roses, 32 pink roses and 28 yellow roses in her garden.
A. Mrs. Rosy made 8 bouquet of pink roses.
How many pink roses were there in each bouquet?
(a) 3
(b) 4
(c) 5
(d) 6
Answer : A

Question. Mrs. Rosy placed yellow roses equally in 4 flower vases.
How many yellow roses were there in each vase ?
(a) 4
(b) 5
(c) 6
(d) 7
Answer : D

Question. Mrs. Rosy used red roses equally in her 4 dresses. How many roses did she use in each dress ?
(a) 4
(b) 5
(c) 6
(d) 7
Answer : C

Question. Arrange the following pencils groups in such a way that each group can contain 5 pencils. How many groups will be formed? (2014)
(a) 4
(b) 5
(c) 7
(d) 3
Answer : (A) Total number of pencils = 20
Number of groups that contains 5 pencils 20/4 = 4
 

Q: Do as directed by drawing pictures:

1. Divide 28 beads into 4 strings :

2. Divide 30 flowers in 6 vases :

3. Divide 35 mangoes in 5 baskets

I) Fill in the blanks :

1. Division is repeated ________________________________ of the same number.

2. Division is the opposite of ____________________________________.

3. The number to be divided is called the ________________________________.

4. In 20 4 = 5, the dividend is called the ____________________________.

5. The number that we are dividing by is called the ______________________

6. 500 10 = 50, here the divisor is _____________________________

7. The answer in division is called the ______________________

8. In 36 4 = 9 , the quotient is _________________________________.

9. Any number divided by 1 gives the __________________ as the quotient.

10. 455 1 = ______________________________

11. Any number divided by itself will give ____________________ as the quotient.

12. 700 700 = _____________________

13. 20 20 = _______________________

14. Zero divided by any number (except 0) gives _____________________________.

15. 0 30 = ________________________

16. 0 169 = ________________________

17. You cannot divide by _____________________________

18. 64 8 = __________________________

19. Each multiplication fact has a corresponding _______________________

20. The division fact has a corresponding _____________________________

21. The division fact for 6 6 = 36 is ____________________.

22. If 2 9 = 18, then 18 9 = ________________________________

23. If 6 7 = _________________________, then _________________ 7 =6

24. If 8 4 = 32 , then 32 _________________ = ___________________

25. 14 2 = 7 as 7 2 = __________________________

26. 49 7 = ___________________ as _______________ 7 = _________________.

II) Divide one digit number by a one digit number :

IV) Divide using long division method :

V) Long division with remainder :

VI) Fill in the blanks :

1. 16 ÷ 3 = ___________ Q = _________________; Divisor = ___________________

2. 20 ÷ 5 = ___________ Divisor = __________; Dividend = _________________

3. 16 ÷ 2 = ___________ Q = _________________; Divisor = ___________________

4. 18 ÷ 9 = ___________ Divisor = __________; Dividend = _________________

5. 15 ÷ 5 = ___________ Dividend = ________; Q = _________________

VII) Find dividend if Quotient & divisor are given :

1. Q = 3; Divisor = 5 ; Dividend = ____________________________

2. Q = 9; Divisor = 9; Dividend = ____________________________

3. Q = 2; Divisor = 7; Dividend = ____________________________

VIII) Put a circle around the Dividend :

1. 10 ÷ 5 = 2

2. 18 ÷ 2= 9

3. 81 ÷ 9 = 9

IX) Put a circle around the Divisor:

1. 20 ÷ 5 = 4

2. 10 ÷ 2 = 5

3. 64 ÷ 8 = 8

X) Put a circle around the Quotient:

1. 9 ÷ 1 = 9

2. 63 ÷ 9 = 7

3. 54 ÷ 6 = 9