WORKSHEET ON RATIO AND PROPORTION

Problem 1 :

If there are two lengths such that a = 90 cm and b = 120 cm, then find the ratio between them.

From problem 2 to problem 8, please use the information in the table given below. 

Problem 2 :

Find the ratio of the age of John to David. 

Problem 3 : 

Find the ratio of the age of David to John. 

Problem 4 :

Find the ratio of the weight of David to John. 

Problem 5 :

Find the ratio of the height of John to David. 

Problem 6 :

Find the ratio of studying time of John to David. 

Problem 7 :

Find the ratio of speed of cycling between John and David. 

Problem 8 :

Find the ratio of playing time of John to David. 

Problem 9 :

A student has 12 note books and 8 text books. Find the ratio of the note books to text books. 

Problem 10 : 

The cost of a pen is $3 and the cost of pencil is $1.50. Find the ratio of the cost of a pen to pencil.

Detailed Answer Key

Problem 1 :

If there are two lengths such that a = 90 cm and b = 120 cm, then find the ratio between them.

Solution :

a : b  =  90 : 120 

a : b  =  3 : 4

So, the ratio between the two lengths is

3 to 4 

From question no. 2 to question no.8, please use the information in the table given below.

Problem 2 :

Find the ratio of the age of John to David. 

Solution :

Age of John  =  17 years

Age of David  =  15 years

Age of John : Age of David  =  17 : 15

So, the ratio of the age of John to David is

17 to 15

Problem 3 : 

Find the ratio of the age of David to John. 

Solution :

Age of David  =  15 years

Age of John  =  17 years

Age of David : Age of John  =  15 : 17

So, the ratio of the age of David to John is

15 to 17

Problem 4 :

Find the ratio of the weight of David to John. 

Solution :

Weight of David  =  29 kg

Weight of John  =  31 kg

Weight of David : Weight of John  =  29 : 31

So, the ratio of the Weight of David to John is

29 to 31

Problem 5 :

Find the ratio of the height of John to David. 

Solution :

Height  of John is

=  1m + 36cm

=  100cm + 36cm

=  136 cm

Height of David  =  123 cm 

Height of John : Height of David  =  136 : 123

So, the ratio of the height of John to height of David is

136 to 123

Problem 6 :

Find the ratio of studying time of John to David. 

Solution :

Studying time of John  is

=  4 hours 

=  4 ⋅ 60 min 

=  240 minutes

Studying time of David  =  180 minutes

Studying time --> John : David  =  240 : 180

Studying time --> John : David  =  4 : 3

So, the ratio of studying time of John to David is

4 to 3

Problem 7 :

Find the ratio of speed of cycling between John and David. 

Solution :

Speed of cycling  of John  =  10 kmph

Speed of cycling of David  = 15 kmph

Speed of cycling --> John : David  =  10 : 15

Speed of cycling --> John : David  =  2 : 3

So, the ratio of speed of cycling between John and David is

2 to 3

Problem 8 :

Find the ratio of playing time of John to David. 

Solution :

Playing time of John  =  2 hours

Playing time of David  =  1 hour

Playing time --> John : David  =  2 : 1

So, the ratio of playing time of John to David is

2 to 1

Problem 9 :

A student has 12 note books and 8 text books. Find the ratio of the note books to text books. 

Solution :

No. of note books  =  12

No. of textbooks  =  8

No. of note books : No. of textbooks  =  12 : 8

No. of note books : No. of textbooks  =  3 : 2

So, the ratio of notebooks to textbooks is

3 to 2

Problem 10 : 

The cost of a pen is $3 and the cost of pencil is $1.50. Find the ratio of the cost of a pen to pencil.

Solution :

Cost of a pen  =  $3  =  3 ⋅ 100  =  300 pennies

Cost of a pencil  =  $1.50  =  1.50 ⋅ 100  =  150 pennies

Cost of a pen : Cost of a pencil  =  300 : 150

Cost of a pen : Cost of a pencil  =  2 : 1

So, the ratio of cost of a pen to pencil is

2 to 1

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