CBSE Class 8 Maths Worksheet
Direct and Inverse Proportions
1.
Which of the following is in direct proportion?
A)
One side of a cuboid and its volume.
B)
Speed of a vehicle and the distance travelled in a fixed time interval.
C)
Change in weight and height among individuals.
D)
Number of pipes to fill a tank and the time required to fill the same tank.
2.
If 1 person takes 7 days to pick the pears from a tree, how many days will it take 7 people to do the same job?
3.
Fill in the blanks: Two quantities a and b are said to be in ___________ if they increase (decrease) together
in such a manner that the ratio of their corresponding values remains constant.
4.
State True/False: If 10 persons can finish a job in 20 days then one person will finish it in 2 days.
A)
true
B)
false
5.
If 6 people take 2 days to pick the apples from a tree, how many days will it take 5 people to do the same job?
6.
Which of the following vary inversely with each other?
A)
Speed and distance covered.
B)
Distance covered and taxi fare.
C)
Distance travelled and time taken.
D)
Speed and time taken.
7.
State True/False: When two quantities are related in such a manner that, if one increases & other decreases, then they always vary inversely.
A)
true
B)
false
8.
Fill in the blanks: If P = Q, then both are _______
9.
If 10 books cost Rs.100, what is the cost for 5 books at the same cost per book?
10.
State True/False: When the speed is kept fixed, speed & time vary directly with each other.
A)
true
B)
false
11.
A train is moving at a uniform speed of 75 km/hour, how far will it travel in 20 minutes?
12.
A car travels 30 miles in 1 hours. How far would it travel in 5 hours?
13.
Fill in the blanks: If x and y are inversely proportional then _____ = k, where k is positive constant.
14.
State True/False: When two quantities x and y are in inverse proportion, then x/y is constant.
A)
true
B)
false
15.
M is directly proportional to L, When L=2 & M=50 find the value of M when L=3
16.
Fill in the blanks: If A= 25B, then A and B vary ______ with each other.
17.
Suppose 2 kg of sugar contains 9 × 106 crystals. How many sugar crystals are there in 1.2 kg of sugar?
18.
There are 10 grams of protein in 50 grams of chicken breast. How many grams of protein is in 150 gm of that chicken breast?
19.
Choose the correct option: Q is directly proportional to ?p Q = 21 when p = 9, value of Q when p = 81 is __________.
A)
63
B)
64
C)
56
D)
67
20.
The cost of 10 kg of iron is Rs 500, what will be the cost of 70kg of iron of the same quality?
CBSE Class 8 Maths Worksheet
Direct and Inverse Proportions
Answers
1.
Option B
2.
1 day
3.
direct proportion
4.
Option B
5.
2.4 days
6.
Option D
7.
Option A
8.
directly related to each other
9.
Rs.300
10.
Option B
11.
25 km
12.
150
13.
xy.
14.
Option B
15.
75
16.
Directly
17.
5.4 × 106 crystals
18.
30 gms
19.
Option A
20.
Rs. 3500
