DAV PUBLIC SCHOOL, KALINGA NAGAR, BBSR
SUBJECT – MATHEMATICS, CLASS – VIII
CHAPTER- 4 (DIRECT AND INVERSE VARIATION)
WORKSHEET (ADVANCE/HOTS)
Very short Answer Type question (1 Mark)
1. Pranshu takes 125 minutes in walking a distance of 100m. What distance
would he cover in 315 minutes?
a. 250m b. 252m c. 254m d. none of these
2. If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day is:
a. (1 – n) days b. (n – 1) days c.
1
𝑛
days d. none of these
3. The perimeter of circle and its diameter vary __________ with each other.
4. If 12 pumps can empty a reservoir in 30 hours, then time required by 45
such pumps to empty the same reservoir is ____________ hours.
Short Answer type question– I (2 Marks)
5. A water tank casts a shadow 21m long. A tree of height 9.5m casts a shadow
8m long at the same time. The length of the shadows are directly
proportional to their heights. Find the height of the tank.
6. If ‘a’ is inversely proportional to
√
𝑏 and a = 6 when b = 4. What is the value
of ‘b’ when a = 4?
7. In 25 days, the earth picks up 6 x 10
8
pounds of dust from the atmosphere.
How much dust will it pick up in 15 days?
8. The amount of extension in an elastic spring varies directly as the weight
hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then
what weight would produce an extension of 17.4 cm?
9. A shopkeeper has enough money to buy 40 books, each costing Rs125. How
many books he can buy if he gets a discount of Rs 25 on each book?
10. A person can finish his work in 25 days, working eight hours a day. If he
wants to finish the same work in 20 days, how many hours should he work
in a day?
Short Answer type question – II (3 Marks)
11. A train 150m long is running at 72km/hr. It crosses a bridge in 13 seconds.
Find the length of the bridge.
12. 120 men have food provision for 200 days. After 5 days, 30 men died due to
an epidemic. How long will the remaining food last?
13. A train 150 meters is running at 72 km/hr. It crosses a bridge in 13 seconds.
Find the length of the bridge.
14. A school has 8 periods a day each of 45 minutes duration. How long would
each period be, if the school has 9 periods a day, assuming the number of
school hours to be the same?