Math Class 8: Proportion Worksheet

Which of the following quantities are in inverse proportion?

If 10 books cost $5, what will 12 books cost?

If 4 men can build a room in 5 days, how many days will 10 men take to build the same room?

If 35 men can reap a field in 8 days, in how many days can 20 men reap the same field?

Amir cycled a total of 6 kilometres by making 3 trips to work. How many trips will Amir have to make to cycle a total of 16 kilometres?

How long does it take to complete a journey of 300 miles travelling at 60 mph?

One person can put 200 letters into envelopes in 1 hour. How long would it take for 200 letters to be put into envelopes by 4 people?

If 4 men can build a room in 5 days, how many men can build the same room in 2.5 days?

If 35 men can reap a field in 8 days, how many men can reap the same field in 12 days?

Amir cycled a total of 6 kilometres by making 3 trips to work. How many kilometres will Amir cycle in 5 trips?

Inverse proportion exists between:
- Amount of interest and rate of interest (as one increases, the other decreases)
- Speed of a racing car and time taken by it to reach the finishing line (as speed increases, time taken decreases)
- Time taken and distance travelled by a car (as time taken increases, distance travelled decreases)
- Number of laborers and time taken by them to do the work (as laborers increase, time taken decreases)

If 10 books cost $5, then 12 books would cost $6 (proportional increase in cost with quantity)
If 4 men can build a room in 5 days, then 10 men would build the same room in 2 days (proportional decrease in time with increase in men)

If 35 men can reap a field in 8 days, then 20 men would reap the same field in 14 days (proportional increase in time with decrease in men)
If 1 person can put 200 letters into envelopes in 1 hour, then:
- 4 people would put 200 letters into envelopes in 0.25 hours (1/4 of the time)
- 6 people would put 200 letters into envelopes in 0.17 hours (1/6 of the time)
- 10 people would put 200 letters into envelopes in 0.1 hours (1/10 of the time)

If a journey is 300 miles, then:
- At 60 mph, it would take 5 hours to complete the journey
- At 50 mph, it would take 6 hours to complete the journey
- At 40 mph, it would take 7.5 hours to complete the journey

A math worksheet for class 8, covering the topic of proportion. It includes questions about inverse proportion, interest rates, and cost of burgers.

Please submit any issues or feature requests here. For billing support, please use the Help Center.

Podcast