# Direct and Inverse Proportions| Worksheet Solutions| Class 8

Worksheet solutions for chapter: Direct and Inverse Proportions for class 8 are provided below.

(1) Which of the following are in direct and inverse proportion?

(i) A worker and time to complete the work.

(ii) Number of pipes and time taken to fill the tank.

(iii)Speed of the train and time taken to complete the same distance.

(iv)Number of plants and area of the garden

Ans-

(i) Number of worker and time to complete the work.

The above relationship is in inverse proportion.

Increasing number of the workers on a job will complete that work in less time.

(ii) Number of pipes and time taken to fill the tank.

The above relationship is in inverse proportion.

Increasing number of the pipes will fill the tank in less time.

(iii)Speed of the train and time taken to complete the same distance.

The above relationship is in inverse proportion.

Increasing the speed of train will cover the same distance in less time.

(iv)Number of plants and area of the garden.

The above relationship is in direct proportion.

Increasing the area of garden will increase the number of plants.

(2)A car covers 100 km in 1 hour. How much distance will be covered by the car in 2 hours?

Ans- (3) A work is completed by 6 workers in 20 days. How many workers required to complete that work in 10 days.

Ans- (4)A machine packed 20 boxes in 5 minutes. How many boxes will be packed in 10 minutes?

Ans- (5)The food is available for the 20 cheeps for 30 days. If 5 more sheep come in the herd, how long will these food available for all sheep?

Ans- (6)If cost of the cloth is 50 Rs per meter . What will be the cost of the of 10 meter cloth?

Ans- (7)A teacher has A box of 20 pencil colours. She distributes these pencils among 4 students. How many colour pencils will be distributed among 5 students?

Ans- (8)If weight of 40 bottles are 1 kg. What will be the weight of 50 bottles?

Ans- (9) 10 craftsmen complete a work in 20 days. If 2 people left the work, how long will they complete the same work?

Ans- (10) Fill in the blanks-

(i)Two variables are called in ……… , when increase or decrease in value of one variable increases or decreases the value of other variable at the same rate.

(ii) Two variables are called in ………, when increase in value of one variable decreases the value of other variable at the same rate.

Ans-

(i)Two variables are called in direct proportion, when increase or decrease in value of one variable increases or decreases the value of other variable at the same rate.

(ii) Two variables are called in inverse proportion, when increase in value of one variable decreases the value of other variable at the same rate.

Helping Topics

Direct and Inverse Proportions

NCERT Solutions Class 8