CBSE Class 3 Mathematics Practice Worksheet Set 09

Question 1. Distribute 32 toffees to 8 children equally with the help of repeated subtraction till you get Zero.
Answer:
Step I: 32 - 8 = 24 (- 1 time)
Step II: 24 - 8 = 16 (- 2 times)
Step III: 16 - 8 = 8 (- 3 times)
Step IV: 8 - 8 = 0 (- 4 times)
Divisor = 8
Dividend = 32
In simple words: Repeated subtraction means subtracting the divisor from the dividend until you reach zero. The number of times you subtract is the quotient, which is 4.

Exam Tip: The number being subtracted is the divisor, and the starting total is the dividend.

Question 2. Write the division facts for the following multiplication facts
a. \(12 \times 3 = 36\)
Answer:
\(36 \div 12 = 3\)
and
\(36 \div 3 = 12\)
In simple words: Every multiplication fact gives two division facts by dividing the product by each of the factors.

Exam Tip: Swap the two factors with the product to easily write the two division facts.

Question 2. (b) \(8 \times 7 = 56\)
Answer:
\(56 \div 8 = 7\)
and
\(56 \div 7 = 8\)
In simple words: Divide the product 56 by 8 to get 7, and divide 56 by 7 to get 8.

Exam Tip: Always verify that the divisor and quotient multiply back to the original product.

Question 3. Find the quotient with the help of multiplication tables
a. \(28 \div 4 =\)
Answer: 7
In simple words: Since \(4 \times 7 = 28\), dividing 28 by 4 gives 7.

Exam Tip: Memorize multiplication tables up to 10 to solve division problems instantly.

Question 3. (b) \(45 \div 5 =\)
Answer: 9
In simple words: Since \(5 \times 9 = 45\), the quotient is 9.

Exam Tip: Numbers ending in 5 or 0 are easily divided by 5.

Question 3. (c) \(6 \div 6 =\)
Answer: 1
In simple words: Any non-zero number divided by itself always gives 1.

Exam Tip: Remember that dividing a number by itself results in 1.

Question 3. (d) \(36 \div 6 =\)
Answer: 6
In simple words: Since \(6 \times 6 = 36\), the quotient is 6.

Exam Tip: Recognize square numbers to find quotients quickly.

Question 3. (e) \(54 \div 9 =\)
Answer: 6
In simple words: Since \(9 \times 6 = 54\), the quotient is 6.

Exam Tip: Use the 9 times table finger trick or digit sum rule if needed.

Question 3. (f) \(9 \div 1 =\)
Answer: 9
In simple words: Any number divided by 1 remains the same.

Exam Tip: Dividing by 1 never changes the value of the number.

Question 4. Divide and find the quotient and remainder with the help of long division method
a. \(17 \div 2 =\)
Answer:
Quotient = 8, Remainder = 1
In simple words: 2 goes into 17 eight times (\(2 \times 8 = 16\)), leaving a remainder of \(17 - 16 = 1\).

Exam Tip: Always check: \((\text{Divisor} \times \text{Quotient}) + \text{Remainder} = \text{Dividend}\) (\(2 \times 8 + 1 = 17\)).

Question 4. (b) \(912 \div 8 =\)
Answer:
Quotient = 114, Remainder = 0
In simple words: Divide digit by digit: 9 divided by 8 is 1 with remainder 1; bring down 1 to make 11, 11 divided by 8 is 1 with remainder 3; bring down 2 to make 32, 32 divided by 8 is 4.

Exam Tip: Perform long division step-by-step from hundreds to units place.

Question 4. (c) \(1935 \div 9 =\)
Answer:
Quotient = 215, Remainder = 0
In simple words: 19 divided by 9 is 2 with remainder 1; bring down 3 to make 13, 13 divided by 9 is 1 with remainder 4; bring down 5 to make 45, 45 divided by 9 is 5.

Exam Tip: Verify divisibility by 9 by checking if the sum of digits (1 + 9 + 3 + 5 = 18) is divisible by 9.

Question 5. Write True/False
a. Dividend is the number to be divided.
Answer: True
In simple words: The dividend is always the total amount that is being split or divided.

Exam Tip: Remember the parts of division: Dividend \(\div\) Divisor = Quotient.

Question 5. (b) The remainder is always bigger than divisor.
Answer: False
In simple words: The remainder must always be strictly smaller than the divisor; otherwise, you can divide further.

Exam Tip: If your remainder is equal to or greater than the divisor, your division is incomplete.

Question 5. (c) If we divide a number by the number itself, we get 1 as quotient.
Answer: True
In simple words: Dividing any number by itself always gives 1.

Exam Tip: Example: \(5 \div 5 = 1\) and \(100 \div 100 = 1\).

Question 5. (d) The rectangle has all the sides equal.
Answer: False
In simple words: A rectangle has only its opposite sides equal, whereas a square has all four sides equal.

Exam Tip: Do not confuse rectangles with squares.

Question 5. (e) Plane surfaces are flat surfaces.
Answer: True
In simple words: A plane surface is flat, like a sheet of paper or a blackboard.

Exam Tip: Plane means flat in geometry.

Question 5. (f) A square can always be called a rectangle but a rectangle can’t be a square always.
Answer: True
In simple words: A square meets all the properties of a rectangle (opposite sides equal, 90-degree angles), but a rectangle does not require all sides to be equal.

Exam Tip: All squares are rectangles, but not all rectangles are squares.

Question 5. (g) Three dimensional figures have three characteristics - length, width and height.
Answer: True
In simple words: 3D shapes have depth along with length and width, giving them volume.

Exam Tip: 2D has length and width; 3D adds height/depth.

Question 6. Give two examples of -
a. Cone = Ice cream cone and Birthday cap
Answer: Ice cream cone and Birthday cap
In simple words: Objects shaped like a cone taper smoothly from a flat circular base to a point.

Exam Tip: Think of objects with a circular base and a pointed top.

Question 6. (b) Circle = Bangle and Coin
Answer: Bangle and Coin
In simple words: A circle is a 2D closed curved shape where all points are at the same distance from the center.

Exam Tip: Circles are flat 2D shapes, unlike spheres which are 3D.

Question 6. (c) Square = Chess board and Carrom board
Answer: Chess board and Carrom board
In simple words: A square is a 2D shape with four equal straight sides and four right angles.

Exam Tip: Ensure all four sides are equal when identifying a square.