CBSE Class 3 Mathematics Division Concepts Worksheet Set 01

Page 1

Question I. Fill in the blanks.
1. Division is _________________ of the same number.
2. The symbol of division is _________________
3. The number to be divided is called _________________
4. The number by which we divide is called _________________
5. The answer of division is called the _________________
6. The number which is left over after division is called the _________________
7. \( 42 \div 6 = 7 \)
↓       ↓       ↓
Dividend Divisor _________________
8. Any number \( \div \) same number = _________________
9. \( 32 \div 32 = \) _________________
10. \( 18 \div 18 = \) _________________
11. Any number \( \div \) 1 = _________________
12. \( 19 \div 1 = \) _________________
13. \( 25 \div 1 = \) _________________
14. Zero \( \div \) any number (except zero) = _________________
15. Ex \( 0 \div 9 = \) _________________
16. Division by zero is not _________________
Answer:
1. repeated subtraction
2. \( \div \)
3. dividend
4. divisor
5. quotient
6. remainder
7. Quotient
8. 1
9. 1
10. 1
11. the same number / the number itself
12. 19
13. 25
14. 0
15. 0
16. possible / defined
In simple words: This section teaches you the basic vocabulary and rules of division. For example, dividing a number by itself always gives one.

Exam Tip: Remember that dividing any number by zero is not possible, but zero divided by any number is always zero.

Page 2

Question II. Find the quotient:
1.
Dividend = _________________
Divisor = _________________
Quotient = _________________
\( 8 \div 2 = \) _________________

2.
Dividend = _________________
Divisor = _________________
Quotient = _________________
\( 10 \div 2 = \) _________________

3.
Dividend = _________________
Divisor = _________________
Quotient = _________________
\( 12 \div 4 = \) _________________
Answer:
1. Dividend = 8, Divisor = 2, Quotient = 4, \( 8 \div 2 = 4 \)
2. Dividend = 10, Divisor = 2, Quotient = 5, \( 10 \div 2 = 5 \)
3. Dividend = 12, Divisor = 4, Quotient = 3, \( 12 \div 4 = 3 \)
In simple words: Look at the picture and count the total objects to get the dividend. Divide them into equal lines to find the quotient.

Exam Tip: The dividend is always the total count of items, while the divisor is the count of items in each row or the count of rows.

Page 3

Question I. Solve using the long form of division.
1. \( 64 \div 8 \)
2. \( 72 \div 9 \)
3. \( 24 \div 3 \)
4. \( 56 \div 7 \)
5. \( 21 \div 3 \)
6. \( 28 \div 7 \)
7. \( 81 \div 9 \)
Answer:
1. \( 64 \div 8 = 8 \) (since \( 8 \times 8 = 64 \))
2. \( 72 \div 9 = 8 \) (since \( 9 \times 8 = 72 \))
3. \( 24 \div 3 = 8 \) (since \( 3 \times 8 = 24 \))
4. \( 56 \div 7 = 8 \) (since \( 7 \times 8 = 56 \))
5. \( 21 \div 3 = 7 \) (since \( 3 \times 7 = 21 \))
6. \( 28 \div 7 = 4 \) (since \( 7 \times 4 = 28 \))
7. \( 81 \div 9 = 9 \) (since \( 9 \times 9 = 81 \))
In simple words: Think of the multiplication tables to solve these sums. Find out what number multiplies with the divisor to give the dividend.

Exam Tip: Practice your multiplication tables from 1 to 10 daily - this makes long division simple and fast.

Question II. Find the quotient and the remainder using long division.
1. \( 25 \div 3 \)
2. \( 15 \div 2 \)
3. \( 29 \div 4 \)
4. \( 36 \div 5 \)
5. \( 43 \div 7 \)
6. \( 57 \div 8 \)
7. \( 75 \div 9 \)
Answer:
1. \( 25 \div 3 \): Quotient = 8, Remainder = 1   (since \( 3 \times 8 = 24 \), and \( 25 - 24 = 1 \))
2. \( 15 \div 2 \): Quotient = 7, Remainder = 1   (since \( 2 \times 7 = 14 \), and \( 15 - 14 = 1 \))
3. \( 29 \div 4 \): Quotient = 7, Remainder = 1   (since \( 4 \times 7 = 28 \), and \( 29 - 28 = 1 \))
4. \( 36 \div 5 \): Quotient = 7, Remainder = 1   (since \( 5 \times 7 = 35 \), and \( 36 - 35 = 1 \))
5. \( 43 \div 7 \): Quotient = 6, Remainder = 1   (since \( 7 \times 6 = 42 \), and \( 43 - 42 = 1 \))
6. \( 57 \div 8 \): Quotient = 7, Remainder = 1   (since \( 8 \times 7 = 56 \), and \( 57 - 56 = 1 \))
7. \( 75 \div 9 \): Quotient = 8, Remainder = 3   (since \( 9 \times 8 = 72 \), and \( 75 - 72 = 3 \))
In simple words: When numbers do not divide perfectly, the extra part left at the bottom is the remainder.

Exam Tip: Make sure you write down both the quotient and the remainder in separate, labeled lines to get full marks.

Page 4

Question III. Fill in the blanks.
1) If \( 9 \times 8 = 72 \) then \( 72 \div 8 = \) _________________
2) If \( 7 \times 8 = 56 \) then \( 56 \div 8 = \) _________________
3) If \( 9 \times 5 = 45 \) then \( 45 \div 9 = \) _________________
4) If \( 7 \times 7 = 49 \) then \( 49 \div 7 = \) _________________
5) If \( 6 \times 6 = 36 \) then \( 36 \div 6 = \) _________________
6) If \( 4 \times 8 = 32 \) then _________________ \( \div 8 = 4 \)
7) If \( 9 \times 7 = 63 \) then _________________ \( \div 7 = 9 \)
Answer:
1) 9
2) 7
3) 5
4) 7
5) 6
6) 32
7) 63
In simple words: Multiplication is the opposite of division. You can use the numbers in a multiplication sentence to solve a division sentence.

Exam Tip: Look at the three numbers used in the multiplication fact - the division blank will always be filled by one of those same three numbers.

Question IV. Write the division facts for the following:
1) \( 4 \times 5 = 20 \)
    a) _________________
    b) _________________
2) \( 5 \times 9 = 45 \)
    a) _________________
    b) _________________
3) \( 4 \times 6 = 24 \)
    a) _________________
    b) _________________
Answer:
1) a) \( 20 \div 5 = 4 \),   b) \( 20 \div 4 = 5 \)
2) a) \( 45 \div 9 = 5 \),   b) \( 45 \div 5 = 9 \)
3) a) \( 24 \div 6 = 4 \),   b) \( 24 \div 4 = 6 \)
In simple words: For every multiplication fact, you can write two division facts. Start with the largest number and divide it by each of the smaller numbers.

Exam Tip: Always place the biggest number at the start of your division sentences when turning a multiplication sentence into division facts.