Mathematics (Maths Mela) Class 5 ( Worksheet & Worksheet solutions )

Q1: Find the perimeter of each of the following figures:
(i) Perimeter of the triangle is ______ cm.
Ans: Perimeter = 5 + 3 + 6 = 14 cm

(ii) Perimeter of the square is ______ cm.
Ans: Perimeter = 4 × 4 = 16 cm

(iii) Perimeter of the square is ______ cm.

Ans: Perimeter = 4 × 7 = 28 cm

(iv) Perimeter of the rectangle is ______ cm.

Ans: Perimeter =2 × (8 + 5) = 2 × 13 = 26 cm

(v) Perimeter of the triangle is ______ cm.

Ans: Perimeter = 5 + 5 + 9 = 19 cm

(vi) The perimeter of the rectangle is ______ cm.

Ans: Perimeter =2 × (8 + 2) = 20 cm

Q2: In the following figures, assume that each small square is 1 sq cm. Count the squares and find the area:
(i) Area = ______ sq cm.

Ans: 18

(ii) Area = ______ sq cm.
Ans: 8

(iii) Area = ______ sq cm.
Ans: 8

(iv) Area = ______ sq cm.

Ans: 49

(v) Area = ______ sq cm.

Ans: 16

Q3: Find the area of the rectangle, whose:
(i) length = 5 m 8 cm, breadth = 3 m 75 cm
Ans: First convert to cm:

• 5 m 8 cm = 500 + 8 = 508 cm
• 3 m 75 cm = 300 + 75 = 375 cm

Now, Area = 508 × 375 = 1,90,500 cm²

(ii) length = 4 m 50 cm, breadth = 2 m 7 cm
Ans: Convert to cm:

• 4 m 50 cm = 400 + 50 = 450 cm
• 2 m 7 cm = 200 + 7 = 207 cm

Area = 450 × 207 = 93,150 cm

(iii) length = 1 m 5 cm, breadth = 90 cm
Ans: Convert to cm:

• 1 m 5 cm = 100 + 5 = 105 cm
• Breadth = 90 cm

Area = 105 × 90 = 9,450 cm²

(iv) length = 125 m, breadth = 84 m
Ans: Area = 125 x 84 = 10500 m²

(v) length = 80 cm, breadth = 24 cm
Ans: Area = 80 x 24 = 1920 cm²

Q4: Find the perimeter of:
(i) The triangle whose sides are 8 cm, 9 cm, and 12 cm.
Ans: Perimeter = 8 + 9 + 12 = 29 cm

(ii) The square whose side is 14 cm.
Ans: Perimeter = 4(14) = 56 cm

Q5: Find the area of the following rectangles:
(i) 

Ans: Area of rectangle = l x b
= 10 x 15 = 150  cm²

(ii)
Ans: Area of rectangle = l x b= 2 x 5 = 10 cm²

Q6: Find the area of the square, whose:
(i) side = 256 dm
Ans: 256 x 256 = 65536 dm²

(ii) side = 92 dm
Ans: 92 x 92 = 8464 dm²

(iii) side = 18m
Ans: 18 x 18 = 324 m²

(iv) side = 7 cm
Ans: 7 x 7 = 49 cm²

(v) side = 20 cm
Ans: 20 x 20 = 400 cm²

Q7: Find the area of the following squares:
Area of square = side x side
(i)

Ans: 20 x 20 = 400 cm²

(ii)
Ans: 6 x 6 = 36 cm²

Q8: Find the area of a square whose perimeter is 4 cm.
Ans: Area = 4 x 4 = 16 cm²

Q9: Area of a rectangle = ______ x ______.
Ans: Length x breadth

Q10: Area of a square of side 1 cm = ______.
Ans: 1 x 1 = 1cm²

Q11: Area of a rectangle of dimensions 1 m and 2 m is ______ sq m.
Ans: 2

Q12: Area of a square = ______.
Ans: side x side.

Q1: Find the perimeter of each of the following figures:
(i) Perimeter of the triangle is ______ cm.
(ii) Perimeter of the square is ______ cm.
(iii) Perimeter of the square is ______ cm.

(iv) Perimeter of the rectangle is ______ cm.

(v) Perimeter of the triangle is ______ cm.

(vi) The perimeter of the rectangle is ______ cm.

Q2: In the following figures, assume that each small square is 1 sq cm. Count the squares and find the area:
(i) Area = ______ sq cm.

(ii) Area = ______ sq cm.
(iii) Area = ______ sq cm.
(iv) Area = ______ sq cm.

(v) Area = ______ sq cm.

Q3: Find the area of the rectangle, whose:
(i) length = 5 m 8 cm, breadth = 3 m 75 cm
(ii) length = 4 m 50 cm, breadth = 2 m 7 cm
(iii) length = 1 m 5 cm, breadth = 90 cm
(iv) length = 125 m, breadth = 84 m
(v) length = 80 cm, breadth = 24 cm

Q4: Find the perimeter of:
(i) The triangle whose sides are 8 cm, 9 cm, and 12 cm.
(ii) The square whose side is 14 cm.

Q5: Find the area of the following rectangles:
(i)

(ii)


Q6: Find the area of the square, whose:
(i) side = 256 dm
(ii) side = 92 dm
(iii) side = 18m
(iv) side = 7 cm
(v) side = 20 cm

Q7: Find the area of the following squares:
Area of square = side x side
(i)

(ii)


Q8: Find the area of a square whose perimeter is 4 cm.

Q9: Area of a rectangle = ______ x ______.

Q10: Area of a square of side 1 cm = ______.

Q11: Area of a rectangle of dimensions 1 m and 2 m is ______ sq m.

Q12: Area of a square = ______.

Q1. A figure is said to have symmetry if it can be divided into:
a) Equal halves
b) Unequal parts
c) Only straight lines
d) Circles only
Answer: a) Equal halves

Q2. How many lines of symmetry does a square have?
a) 2
b) 3
c) 4
d) 5
Answer: c) 4

Q3. Which of the following shapes has only one line of symmetry?
a) Circle
b) Equilateral triangle
c) Rectangle
d) Isosceles triangle
Answer: d) Isosceles triangle

Q4. How many lines of symmetry does a circle have?
a) 1
b) 2
c) 4
d) Infinite
Answer: d) Infinite

Q5. Which alphabet has 2 lines of symmetry?
a) A
b) H
c) C
d) F
Answer: b) H

Q6: A rectangle has how many lines of symmetry?
a) 1
b) 2
c) 3
d) 4
Answer: b) 2

Q7: Which of the shapes is divided into two mirror halves by a dotted line?

(a) A and B
(b) A and C
(c) B and C
(d) All of these
Ans: (c)

• Shape A: A symmetric star, but the given dotted line may not create perfect mirror halves.
• Shape B: A butterfly, which has clear bilateral symmetry along the dotted line.
• Shape C: A hexagonal shape that appears symmetric along the given dotted line.

Since B and C are properly divided into two equal mirror halves by the dotted line, the correct answer is:

Answer: (c) B and C

Q8: In the following figures, l is the line of symmetry. Complete the diagram to make it symmetric.

Ans. 

Q9: Draw the line (s) of symmetry for each of the following figures :

Ans. 

Q10: Is the dotted line on each shape a line of symmetry? Write yes or no.

(i)
Ans: Yes

(ii)
Ans: No

(iii)
Ans: No

(iv)
Ans: Yes

(v)
Ans: No

(vi)

Ans: Yes

(vii)

Ans: Yes

(viii) 

Ans: No

Q1. A figure is said to have symmetry if it can be divided into:
a) Equal halves
b) Unequal parts
c) Only straight lines
d) Circles only

Q2. How many lines of symmetry does a square have?
a) 2
b) 3
c) 4
d) 5

Q3. Which of the following shapes has only one line of symmetry?
a) Circle
b) Equilateral triangle
c) Rectangle
d) Isosceles triangle

Q4. How many lines of symmetry does a circle have?
a) 1
b) 2
c) 4
d) Infinite

Q5. Which alphabet has 2 lines of symmetry?
a) A
b) H
c) C
d) F

Q6: A rectangle has how many lines of symmetry?
a) 1
b) 2
c) 3
d) 4

Q7: Which of the shapes is divided into two mirror halves by a dotted line?

(a) A and B
(b) A and C
(c) B and C
(d) All of these

Q8: In the following figures, l is the line of symmetry. Complete the diagram to make it symmetric.

Q9: Draw the line (s) of symmetry for each of the following figures :

Q10: Is the dotted line on each shape a line of symmetry? Write yes or no.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii) 

Multiple Choice Questions

Q1: What is the number to be divided called?

(a) Divisor
(b) Quotient
(c) Dividend
(d) Remainder

Ans: (c) Dividend

The number to be divided in a division operation is called the Dividend. For example, in 114 ÷ 8, the number 114 is the dividend.

Q2: What is the result of the division called?

(a) Dividend
(b) Divisor
(c) Quotient
(d) Remainder

Ans: (c) Quotient The result of a division operation is called the Quotient. For example, in 114 ÷ 8, the number 14 is the quotient.

Q3: Which of the following statements is true about dividing a number by itself?

(a) The result is the number itself.
(b) The result is always 1.
(c) The result is zero.
(d)The result is the dividend.

Ans: (b) The result is always 1
When a number is divided by itself (except zero), the result is always 1. For instance, 8÷8 = 1.

Q4: What happens when you divide zero by a non-zero number?

(a) The result is 1.
(b) The result is 0.
(c) The result is undefined.
(d) The result is the divisor.

Ans: (b) The result is 0.
When zero is divided by any non-zero number, the result is always 0. For example, 0÷5 = 0.

Q5: What is the remainder when 10 is divided by 3?

(a) 1
(b)  2
(c) 3
(d) 0

Ans: (a) 1
When 10 is divided by 3, the division gives a quotient of 3 and a remainder of 1. This is because 10 = (3×3) + 1.

Fill in the Blanks

Q1: The number left after division is called __________.

Ans: “Remainder”

Q2: When dividing a number by 1, the quotient is __________.

Ans: “The number itself”

Q3: The formula to verify division is __________.

Ans: “Divisor × Quotient + Remainder = Dividend”

Q4: The quotient of any number divided by itself is __________.

Ans: “1”

Q5: If you divide zero by a number, the result is __________.

Ans: “0”

True or False

Q1: Division by zero is defined. 

Ans: “False”
Division by zero is not defined because no number can be divided by zero in mathematics. It leads to an undefined result. Hence, the statement is False.

Q2: The remainder can be equal to the divisor. 

Ans: “False”
The remainder in a division operation is always less than the divisor. For example, in 10÷3, the remainder is 1, which is less than 3. Hence, the statement is False.

Q3: Division of a number by 1 always results in the number itself. 

Ans: “True”

Q4: The quotient of any number divided by itself is always greater than one. 

Ans: “False”
When a number is divided by itself (except zero), the quotient is always 1. For instance, 5÷5=1, which is not greater than one. Hence, the statement is False.

Q5: To divide by 10, you remove the last digit. __________

Ans: “True”

Answer the following questions

Q1: I want to distribute Rs 3,600 among 8 persons. How many rupees will each person get?
Ans:
Total Rs. = 3600
To be distributed among = 8 persons
3600 ÷ 8 = 450450 Rs. per person

Q2: In a division, divisor = 100, quotient = 25 and remainder = 75, find the dividend.
Ans:
Divisor = 100, Quotient = 25 and Remainder = 75
Dividend = Quotient x Divisor + Remainder.
Dividend = 25 x 100 + 75 = 2575

Q3: In a division, remainder is always ______ than the divisor.
Ans: The remainder is always less than the divisor. If the remainder is greater than the divisor, it means that the division is incomplete. It can be greater than or lesser than the quotient.

Q4: 6308 ÷ 100 gives quotient = ______ and remainder = ______.
Ans: 6308 ÷ 100 gives quotient = 63 and remainder = 8.
Q5: Manish has Rs 84. The cost of one pencil box is Rs 14. How many pencil boxes can Manish buy for Rs 84?
Ans:

• Total money = RS 84
• Cost of 1 pencil box = RS 14
• Then cost of x pencil boxes is = 84 ÷ 14 = 6
• So, x = 6

Multiple Choice Questions

Q1: What is the number to be divided called?

(a) Divisor
(b) Quotient
(c) Dividend
(d) Remainder

Q2: What is the result of the division called?

(a) Dividend
(b) Divisor
(c) Quotient
(d) Remainder

Q3: Which of the following statements is true about dividing a number by itself?

(a) The result is the number itself.
(b) The result is always 1.
(c) The result is zero.
(d) The result is the dividend.

Q4: What happens when you divide zero by a non-zero number?

(a) The result is 1.
(b) The result is 0.
(c) The result is undefined.
(d) The result is the divisor.

Q5: What is the remainder when 10 is divided by 3?

(a) 1
(b) 2
(c) 3
(d) 0

Fill in the Blanks

Q1: The number left after division is called __________.

Q2: When dividing a number by 1, the quotient is __________.

Q3: The formula to verify division is __________.

Q4: The quotient of any number divided by itself is __________.

Q5: If you divide zero by a number, the result is __________.

True or False

Q1: Division by zero is defined.

Q2: The remainder can be equal to the divisor.

Q3: Division of a number by 1 always results in the number itself.

Q4: The quotient of any number divided by itself is always greater than one.

Q5: To divide by 10, you remove the last digit.

Answer the following questions

Q1: I want to distribute Rs 3,600 among 8 persons. How many rupees will each person get?

Q2: In a division, divisor = 100, quotient = 25 and remainder = 75, find the dividend.

Q3: In a division, remainder is always ______ than the divisor.

Q4: 6308 ÷ 100 gives quotient = ______ and remainder = ______.

Q5: Manish has Rs 84. The cost of one pencil box is Rs 14. How many pencil boxes can Manish buy for Rs 84?

Multiple Choice Questions

Q1: What is weight?
(a) The measure of space an object occupies
(b) The force with which Earth attracts an object
(c) The amount of liquid in a container
(d) The measure of distance between two points
Ans: (b)

Weight is the force with which the Earth attracts an object. It is usually measured in kilograms or grams.

Q2: Which unit is used to measure capacity?
(a) Gram
(b) Litre
(c) Kilogram
(d) Meter
Ans: (b)

Capacity is measured in litres. It indicates the volume of liquid a container can hold.

Q3: How many grams are there in 1 kilogram?
(a) 10
(b) 100
(c) 1000
(d) 1
Ans: (c)

There are 1000 grams in 1 kilogram.

Q4: Which unit is used to measure very small weights?
(a) Milligram
(b) Gram
(c) Kilogram
(d) Litre
Ans: (a)

Very small weights are measured in milligrams (mg).

Q5: How is liquid measured using a measuring jug?
(a) By its colour
(b) By pouring and comparing
(c) By reading the scale marked on the jug
(d) By weighing the liquid
Ans: (c)

A measuring jug has a scale marked in litres or millilitres to measure the quantity of liquid.

Short Questions

Q1: Name two units used to measure weight.
Ans: Kilogram and gram.

Q2: How many millilitres are there in 1 litre?
Ans: There are 1000 millilitres in 1 litre.

Q3: Name three units used to measure capacity.
Ans: Litre, millilitre, and kilolitre.

Q4: What is the standard SI unit of weight?
Ans: Kilogram (kg).

Fill in the Blanks

Q1: The SI unit of weight is _______________.
Ans: kilogram (kg)

Q2: Capacity is the measure of _______________ a container can hold.
Ans: liquid/volume

Q3: 1 kilogram is equal to _______________ grams.
Ans: 1000

Q4: 1 litre is equal to _______________ millilitres.
Ans: 1000

Q5: Very small weights are measured in _______________.
Ans: milligrams (mg)

Match the Column

A. 1 kilogram → (i) 1000 millilitres
B. 1 litre → (ii) 1000 grams
C. 1 gram → (iii) 1000 milligrams
D. 1 millilitre → (iv) 1 cubic centimetre

Ans:
A – (ii)
B – (i)
C – (iii)
D – (iv)

True or False

Q1: The SI unit of weight is kilogram. 
Ans: True

Q2: 1 litre is equal to 1000 grams. 
Ans: False

Q3: Capacity is measured in litres and millilitres.
Ans: True

Q4: 1 millilitre of water is equal to 1 cubic centimetre of water. 
Ans: True

Q5: Weight is measured in litres. 
Ans: False

A. Multiple Choice Questions

Q1: What is weight?
(a) The measure of space an object occupies
(b) The force with which Earth attracts an object
(c) The amount of liquid in a container
(d) The measure of distance between two points

Q2: Which unit is used to measure capacity?
(a) Gram
(b) Litre
(c) Kilogram
(d) Meter

Q3: How many grams are there in 1 kilogram?
(a) 10
(b) 100
(c) 1000
(d) 1

Q4: Which unit is used to measure very small weights?
(a) Milligram
(b) Gram
(c) Kilogram
(d) Litre

Q5: How is liquid measured using a measuring jug?
(a) By its colour
(b) By pouring and comparing
(c) By reading the scale marked on the jug
(d) By weighing the liquid

B. Short Questions

Q1: Name two units used to measure weight.

Q2: How many millilitres are there in 1 litre?

Q3: Name three units used to measure capacity.

Q4: What is the standard SI unit of weight?

C. Fill in the Blanks

Q1: The SI unit of weight is _______________.

Q2: Capacity is the measure of _______________ a container can hold.

Q3: 1 kilogram is equal to _______________ grams.

Q4: 1 litre is equal to _______________ millilitres.

Q5: Very small weights are measured in _______________.

D. Match the Column

A. 1 kilogram → (i) 1000 millilitres
B. 1 litre → (ii) 1000 grams
C. 1 gram → (iii) 1000 milligrams
D. 1 millilitre → (iv) 1 cubic centimetre

E. True or False

Q1: The SI unit of weight is kilogram. 

Q2: 1 litre is equal to 1000 grams. 

Q3: Capacity is measured in litres and millilitres.

Q4: 1 millilitre of water is equal to 1 cubic centimetre of water. 

Q5: Weight is measured in litres. 

Multiple Choice Questions (MCQs)

Q1. Regular pentagons do not tessellate because:
a) Their sides are unequal
b) They leave gaps when fitted
c) They are not polygons
d) They have unequal angles
Answer: b) They leave gaps when fitted

Q2. Which of these shapes tessellates without leaving gaps?
a) Pentagon
b) Hexagon
c) Octagon
d) Circle
Answer: b) Hexagon

Q3. A rectangle is a special type of:
a) Square
b) Parallelogram
c) Rhombus
d) Trapezium
Answer: b) Parallelogram

Q4. In a kite, which sides are equal?
a) Opposite sides
b) Adjacent sides
c) Diagonal sides
d) No sides
Answer: b) Adjacent sides

Q5. Which triangle has all three sides equal?
a) Isosceles triangle
b) Equilateral triangle
c) Scalene triangle
d) Right triangle
Answer: b) Equilateral triangle

Q6. A dodecahedron has faces in the shape of:
a) Triangles
b) Squares
c) Pentagons
d) Hexagons
Answer: c) Pentagons

Fill in the blanks 

Q1. A shape with all sides equal and all angles equal is called a __________.
Answer: Square

Q2. A triangle with no equal sides is called a __________ triangle.
Answer: Scalene

Q3. Regular __________ tessellate because they can fit exactly around a point without gaps.
Answer: Triangles (equilateral triangles)

Q4. A quadrilateral whose opposite sides are equal is called a __________.
Answer: Parallelogram

Q5. A shape with six equal sides is called a __________.
Answer: Hexagon

Q6. A cube has __________ faces, __________ edges, and __________ vertices.
Answer: 6 faces, 12 edges, 8 vertices

Q7. In an isosceles triangle, __________ sides and __________ angles are equal.
Answer: two sides, two angles

Q8. A tangram is made up of __________ pieces.
Answer: seven

Solve the Following Questions

Q1:  Draw and color the next shape to complete the pattern 
(i) 
Ans:

(ii) 
Ans:

Q2: Make a pattern using following blocks:
(i)
Ans:

(ii)
Ans:

Q3: Draw the next figures that follow the patterns:
(i)
Ans:

(ii)
Ans:

Q4: Complete the pattern:

(a)

(b)

(c)

(d)

Ans: (a)

Multiple Choice Questions (MCQs)

Q1. Regular pentagons do not tessellate because:
a) Their sides are unequal
b) They leave gaps when fitted
c) They are not polygons
d) They have unequal angles

Q2. Which of these shapes tessellates without leaving gaps?
a) Pentagon
b) Hexagon
c) Octagon
d) Circle

Q3. A rectangle is a special type of:
a) Square
b) Parallelogram
c) Rhombus
d) Trapezium

Q4. In a kite, which sides are equal?
a) Opposite sides
b) Adjacent sides
c) Diagonal sides
d) No sides

Q5. Which triangle has all three sides equal?
a) Isosceles triangle
b) Equilateral triangle
c) Scalene triangle
d) Right triangle

Q6. A dodecahedron has faces in the shape of:
a) Triangles
b) Squares
c) Pentagons
d) Hexagons

Fill in the blanks 

Q1. A shape with all sides equal and all angles equal is called a __________.

Q2. A triangle with no equal sides is called a __________ triangle.

Q3. Regular __________ tessellate because they can fit exactly around a point without gaps.

Q4. A quadrilateral whose opposite sides are equal is called a __________.

Q5. A shape with six equal sides is called a __________.

Q6. A cube has __________ faces, __________ edges, and __________ vertices.

Q7. In an isosceles triangle, __________ sides and __________ angles are equal.

Q8. A tangram is made up of __________ pieces.

Solve the Following Questions

Q1:  Draw and color the next shape to complete the pattern 
(i) 

(ii) 

Q2: Make a pattern using following blocks:
(i)

(ii)

Q3: Draw the next figures that follow the patterns:
(i)

(ii)

Q4: Complete the pattern:
(a)
(b)
(c)
(d)