Class 8 Exam  >  Class 8 Notes  >  Mathematics (Maths) Class 8  >  Worksheet: Direct and Inverse Proportions

Class 8 Maths - Direct and Inverse Proportions CBSE Worksheets

Q1: The cost of 7m of a particular quality of pipe is ₹200 tabulate the cost of 4 meter of pipe of the same type.
(a) 114.28
(b) 28.114
(c) 11.42
(d) 1.428

Q2: A train is moving at a uniform speed of 60 km/hr. How far will it travel in 30 minutes?
(a) 20
(b) 25
(c) 30
(d) 40

Q3: The scale of map is given as 1:40000000 two cities are 3cm apart on the map. Find the actual distance between them?
(a) 1400
(b) 1300
(c) 1200
(d) 1100

Q4: A train is moving at uniform speed of 60km/hr. Find the time required to cover a distance 200 km?
(a) 200 min
(b) 300 min
(c) 60 min
(d) 250 min

Q5: A machine in Cocacola factory fills 640 bottles in 4 hours. How many bottles will it fill in 5 hours?
(a) 700
(b) 1000
(c) 900
(d) 800

Q6: 5 pipes are required to fill a tank in 1 hour 20 minute. How long will it take if only 4 pipes of the same type are used?
(a) 200 min
(b) 100 min
(c) 60 min
(d) 40 min

Q7: If 10 workers can build a wall in 40 hours how many workers will be required to do the same work in 20 hours?
(a) 10
(b) 30
(c) 20
(d) 40

Q8: Observe the following tables and find which pair of variables are in inverse proportion.
(a)
Class 8 Maths - Direct and Inverse Proportions CBSE Worksheets

(b)

Class 8 Maths - Direct and Inverse Proportions CBSE Worksheets
(c)

Class 8 Maths - Direct and Inverse Proportions CBSE Worksheets
(d)

Class 8 Maths - Direct and Inverse Proportions CBSE Worksheets

Q9: There are 50 students in hostel. Food provision for them is for 20 days. How long will these provision last 50 more students join the group?
(a) 15
(b) 20
(c) 30
(d) 10

Q10: A batch of mango were packed in 25 boxes with 20 mangoes in each box if the same batch is packed using 25 mangoes in each box, how many boxes would be filed?
(a) 10
(b) 30
(c) 40
(d) 20

Q11: A farmer has enough food to feed 30 animals in his cattle for 6 days. How long would the food last if there were 12 animals in his cattle?
(a) 14
(b) 12
(c) 15
(d) 13

Q12: Motorcycles takes 2 hour to reach a destination by travelling at the speed of 40km/hr. How long will it take when the motor travels at the speed of 80 km/hr?
(a) 1hr
(b) 2hr
(c) 1.30hr
(d) 2.30hr

Q13: A loaded train travels 28km in 30 minutes. If the speed remains the same, how far can it travel in 5 hours?
(a) 100
(b) 210
(c) 240
(d) 280

Q14: The cost of 10 meters of particular quality of cloth ₹200 tabulate the cost of 8 meters of cloth the same type
(a) 120
(b) 140
(c) 160
(d) 180

Q15: An electric pole 18 meters high castle shadow of 10 meters. Find the height of electric pole that cost a shadow of 20 meters under similar condition?
(a) 32
(b) 36
(c) 34
(d) 40

You can access the solutions to this worksheet here.

The document Class 8 Maths - Direct and Inverse Proportions CBSE Worksheets is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Class 8 Maths - Direct and Inverse Proportions CBSE Worksheets

1. What is the difference between direct and inverse proportion?
Ans. Direct proportion means that as one quantity increases, the other quantity also increases at a constant rate. For example, if you double the amount of money you spend on a product, you will get double the quantity. Inverse proportion, on the other hand, means that as one quantity increases, the other quantity decreases. For instance, if you increase the speed of a car, the time taken to travel a fixed distance decreases.
2. How can I identify direct and inverse proportions in real-life situations?
Ans. To identify direct proportions, look for relationships where two quantities increase or decrease together. For example, the cost of apples is directly proportional to the weight you buy. Inverse proportions can be identified when one quantity increases while the other decreases, such as the relationship between speed and travel time for a fixed distance.
3. What are some common examples of direct and inverse proportions?
Ans. Common examples of direct proportion include the relationship between distance and time at a constant speed, and the cost of items based on quantity. Examples of inverse proportion include the relationship between the number of workers and the time taken to complete a task, or the relationship between pressure and volume in a gas (Boyle's Law).
4. How do you solve problems involving direct and inverse proportions?
Ans. To solve direct proportion problems, you can set up a ratio based on the constant rate and use cross-multiplication. For inverse proportion problems, you can use the formula \(xy = k\), where \(k\) is a constant, and rearrange it to find the unknowns. For both types, understanding the relationship between the variables is key.
5. Can direct and inverse proportions be combined in a single problem?
Ans. Yes, direct and inverse proportions can be combined in a single problem. For example, if you have a situation where the cost of a service increases with demand (direct proportion) while the time taken to serve each customer decreases as more customers are served (inverse proportion), you would analyze each relationship separately and then combine them to find a solution.
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