MATHEMATICS
WORKSHEET
Grade VIII
Ch -13 Direct and Inverse proportions
1. In which of the following cases is there direct variation between the two
given quantities? (Do not carry out any calculations)
(a) 10 workers finish a job in 6 days. In how many days will 20 workers
finish the same job?
(b) A car runs at a uniform speed. If it covers 135 km in 3 hours, how much
distance will it cover in 2 hours?
(c) A tap can completely fill a tank in 11/2 hours. How much of it can be
filled in ¾ hours?
(d) Curtain cloth was purchased at Rs. 230 per meter. How much will 12
meters of cloth cost?
2. If the mass of 35 sheets of paper is 280 g, how many sheets will weigh 7.2
kg?
3. A family’s expenses for 4 weeks 5 days amount to RS1980. What is their
expense at the same rate for 6 weeks 2 days?
4. If 25 workers can finish a job in 40 days, how many workers will
complete the same job in 25 days?
5. 40 kg of rice lasts 30 days in a family of 8 persons. If 2 guests stay with
the family, how many days will 40 kg of rice last?
6. If Ram works 10 hours per day, he can finish a job in 28 days. If he has to
finish the job in 20 days, how many hours should he work per day?
7. The cost of 18 notebooks is Rs.423. Find the cost of 20 notebooks.
WORKSHEET
Grade VIII
Ch -13 Direct and Inverse proportions
1. In which of the following cases is there direct variation between the two
given quantities? (Do not carry out any calculations)
(a) 10 workers finish a job in 6 days. In how many days will 20 workers
finish the same job?
(b) A car runs at a uniform speed. If it covers 135 km in 3 hours, how much
distance will it cover in 2 hours?
(c) A tap can completely fill a tank in 11/2 hours. How much of it can be
filled in ¾ hours?
(d) Curtain cloth was purchased at Rs. 230 per meter. How much will 12
meters of cloth cost?
2. If the mass of 35 sheets of paper is 280 g, how many sheets will weigh 7.2
kg?
3. A family’s expenses for 4 weeks 5 days amount to RS1980. What is their
expense at the same rate for 6 weeks 2 days?
4. If 25 workers can finish a job in 40 days, how many workers will
complete the same job in 25 days?
5. 40 kg of rice lasts 30 days in a family of 8 persons. If 2 guests stay with
the family, how many days will 40 kg of rice last?
6. If Ram works 10 hours per day, he can finish a job in 28 days. If he has to
finish the job in 20 days, how many hours should he work per day?
7. The cost of 18 notebooks is Rs.423. Find the cost of 20 notebooks.
