CBSE Class 3 Mathematics Division Concepts Worksheet Set 02

QI. Fill in the blanks.

Question 1. Division isrepeated subtraction of the same number.
Answer: repeated subtraction
In simple words: Division means subtracting the same number over and over again.

Exam Tip: Remember that division can be thought of as repeated subtraction.

Question 2. The symbol of division is \(\div\).
Answer: \(\div$
In simple words: The sign used to show division is \(\div\).

Exam Tip: Always use the correct division symbol in equations.

Question 3. The number to be divided is called Dividend.
Answer: Dividend
In simple words: The total amount you start with to divide is the dividend.

Exam Tip: The dividend is always the first number in a standard division sentence.

Question 4. The number by which we divide is called Divisor.
Answer: Divisor
In simple words: The number that tells us how many equal groups to make is the divisor.

Exam Tip: The divisor comes after the division sign.

Question 5. The answer of division is called the Quotient.
Answer: Quotient
In simple words: The result of dividing two numbers is called the quotient.

Exam Tip: Quotient means how many are in each group or how many groups were formed.

Question 6. The number which is left over after division is called the Remainder.
Answer: Remainder
In simple words: What cannot be divided equally is left over as the remainder.

Question 7. \(42 \div 6 = 7\) (Dividend \(\div\) Divisor = Quotient)
Answer: Dividend = 42, Divisor = 6, Quotient = 7
In simple words: 42 is divided by 6 to get 7.

Exam Tip: Identify parts of a division sentence carefully.

Question 8. Any number \(\div\) same number = 1
Answer: 1
In simple words: Dividing a number by itself always gives 1.

Exam Tip: Example: \(5 \div 5 = 1\).

Question 9. \(32 \div 32 = 1\)
Answer: 1
In simple words: Any non-zero number divided by itself equals 1.

Exam Tip: Remember this golden rule of division.

Question 10. \(18 \div 18 = 1\)
Answer: 1
In simple words: 18 divided by 18 is 1.

Exam Tip: Matching numbers in division give 1.

Question 11. Any number \(\div\) 1 = Number itself
Answer: The number itself
In simple words: Dividing any number by 1 leaves it unchanged.

Exam Tip: Example: \(7 \div 1 = 7\).

Question 12. \(19 \div 1 = 19\)
Answer: 19
In simple words: Dividing by 1 keeps the number the same.

Exam Tip: Dividing by 1 does not change the dividend.

Question 13. \(25 \div 1 = 25\)
Answer: 25
In simple words: 25 divided by 1 is 25.

Exam Tip: Any number divided by 1 is the number itself.

Question 14. Zero \(\div\) any number (except zero) = 0
Answer: 0
In simple words: Zero divided by any number is always zero.

Exam Tip: 0 divided by a number is 0.

Question 15. Ex: \(0 \div 9 = 0\)
Answer: 0
In simple words: 0 divided by 9 equals 0.

Exam Tip: Dividend 0 always results in quotient 0.

Question 16. Division by zero is not possible (or meaningless).
Answer: possible / defined
In simple words: You cannot divide a number by zero.

Exam Tip: Division by zero is undefined in mathematics.

QII. Find the quotient:

Question 1. 8 stars divided into groups of 2. \(8 \div 2 = ?\)
Answer:
Dividend = 8
Divisor = 2
Quotient = 4
In simple words: 8 stars divided into groups of 2 gives 4 groups.

Exam Tip: Count the total objects for the dividend and group size for the divisor.

Question 2. 10 cups divided into groups of 2. \(10 \div 2 = ?\)
Answer:
Dividend = 10
Divisor = 2
Quotient = 5
In simple words: 10 divided by 2 is 5.

Exam Tip: Use multiplication tables backwards to find the quotient.

Question 3. 12 balls divided into groups of 4. \(12 \div 4 = ?\)
Answer:
Dividend = 12
Divisor = 4
Quotient = 3
In simple words: 12 divided by 4 gives 3.

Exam Tip: Check with multiplication: \(3 \times 4 = 12\).

Ln 6: More Division

QI. Solve using the long form of division.

Question 1. \(64 \div 8\)
Answer:
\(64 \div 8 = 8$
In simple words: 8 times 8 is 64.

Exam Tip: Recite the 8 times table until you reach 64.

Question 2. \(72 \div 9\)
Answer:
\(72 \div 9 = 8$
In simple words: 9 times 8 is 72.

Exam Tip: Use the 9 times table.

Question 3. \(24 \div 3\)
Answer:
\(24 \div 3 = 8$
In simple words: 3 times 8 is 24.

Exam Tip: Use the 3 times table.

Question 4. \(56 \div 7\)
Answer:
\(56 \div 7 = 8$
In simple words: 7 times 8 is 56.

Exam Tip: Use the 7 times table.

Question 5. \(21 \div 3\)
Answer:
\(21 \div 3 = 7$
In simple words: 3 times 7 is 21.

Exam Tip: Use the 3 times table.

Question 6. \(28 \div 7\)
Answer:
\(28 \div 7 = 4$
In simple words: 7 times 4 is 28.

Exam Tip: Use the 7 times table.

Question 7. \(81 \div 9\)
Answer:
\(81 \div 9 = 9$
In simple words: 9 times 9 is 81.

Exam Tip: Use the 9 times table.

QII. Find the quotient and the remainder using long division.

Question 1. \(25 \div 3\)
Answer:
\(3 \times 8 = 24$
Remainder = \(25 - 24 = 1$
Quotient = 8, Remainder = 1
In simple words: 25 divided by 3 gives 8 with 1 left over.

Exam Tip: Always check that Remainder < Divisor (\(1 < 3\)).

Question 2. \(15 \div 2\)
Answer:
\(2 \times 7 = 14$
Remainder = \(15 - 14 = 1$
Quotient = 7, Remainder = 1
In simple words: 15 divided by 2 gives 7 with 1 left over.

Question 3. \(29 \div 4\)
Answer:
\(4 \times 7 = 28$
Remainder = \(29 - 28 = 1$
Quotient = 7, Remainder = 1
In simple words: 29 divided by 4 gives 7 with 1 left over.

Exam Tip: Use the 4 times table close to 29.

Question 4. \(36 \div 5\)
Answer:
\(5 \times 7 = 35$
Remainder = \(36 - 35 = 1$
Quotient = 7, Remainder = 1
In simple words: 36 divided by 5 gives 7 with 1 left over.

Exam Tip: Use the 5 times table.

Question 5. \(43 \div 7\)
Answer:
\(7 \times 6 = 42$
Remainder = \(43 - 42 = 1$
Quotient = 6, Remainder = 1
In simple words: 43 divided by 7 gives 6 with 1 left over.

Exam Tip: Use the 7 times table up to 42.

Question 6. \(57 \div 8\)
Answer:
\(8 \times 7 = 56$
Remainder = \(57 - 56 = 1$
Quotient = 7, Remainder = 1
In simple words: 57 divided by 8 gives 7 with 1 left over.

Exam Tip: Use the 8 times table up to 56.

Question 7. \(75 \div 9\)
Answer:
\(9 \times 8 = 72$
Remainder = \(75 - 72 = 3$
Quotient = 8, Remainder = 3
In simple words: 75 divided by 9 gives 8 with 3 left over.

Exam Tip: Use the 9 times table up to 72.

QIII. Fill in the blanks.

Question 1. If \(9 \times 8 = 72\) then \(72 \div 8 = 9\)
Answer: 9
In simple words: Multiplication facts help find division facts.

Exam Tip: Multiplication and division are inverse operations.

Question 2. If \(7 \times 8 = 56\) then \(56 \div 8 = 7\)
Answer: 7
In simple words: Reverse of multiplication is division.

Exam Tip: Use the given multiplication fact to fill the blank.

Question 3. If \(9 \times 5 = 45\) then \(45 \div 9 = 5\)
Answer: 5
In simple words: 45 divided by 9 is 5.

Exam Tip: Match the numbers from the multiplication statement.

Question 4. If \(7 \times 7 = 49\) then \(49 \div 7 = 7\)
Answer: 7
In simple words: 49 divided by 7 is 7.

Exam Tip: Both factors are 7.

Question 5. If \(6 \times 6 = 36\) then \(36 \div 6 = 6\)
Answer: 6
In simple words: 36 divided by 6 is 6.

Exam Tip: Square numbers have identical factors.

Question 6. If \(4 \times 8 = 32\) then \(32 \div 8 = 4\)
Answer: 32
In simple words: 32 divided by 8 equals 4.

Question 7. If \(9 \times 7 = 63\) then \(63 \div 7 = 9\)
Answer: 63
In simple words: 63 divided by 7 equals 9.

Exam Tip: Fill in the missing dividend 63.

QIV. Write the division facts for the following.

Question 1. \(4 \times 5 = 20\)
Answer:
a) \(20 \div 4 = 5$
b) \(20 \div 5 = 4$
In simple words: Every multiplication fact gives two division facts.

Exam Tip: Swap the factors to get the second division fact.

Question 2. \(5 \times 9 = 45\)
Answer:
a) \(45 \div 5 = 9$
b) \(45 \div 9 = 5$
In simple words: 45 divided by 5 is 9, and 45 divided by 9 is 5.

Exam Tip: Use the product as the dividend in both facts.

Question 3. \(4 \times 6 = 24\)
Answer:
a) \(24 \div 4 = 6$
b) \(24 \div 6 = 4$
In simple words: 24 divided by 4 is 6, and 24 divided by 6 is 4.

Exam Tip: Check both division statements using multiplication tables.