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13. Direct and Inverse Proportions Mathematics class 8 in English Medium ncert book solutions Exercise 13.1

13. Direct and Inverse Proportions Exercise 13.1 – Complete NCERT Book Solutions for Class 8 Mathematics (English Medium). Get all chapter explanations, extra questions, solved examples and additional practice questions for 13. Direct and Inverse Proportions Exercise 13.1 to help you master concepts and score higher.

13. Direct and Inverse Proportions Mathematics class 8 in English Medium ncert book solutions Exercise 13.1

13. Direct and Inverse Proportions Mathematics class 8 in English Medium ncert book solutions Exercise 13.1

NCERT Solutions for Class 8 Mathematics play an important role in helping students understand the concepts of the chapter 13. Direct and Inverse Proportions clearly. This chapter includes the topic Exercise 13.1, which is essential from both academic and examination point of view. The solutions provided here are prepared strictly according to the latest NCERT syllabus and follow the guidelines of CBSE to ensure accuracy and relevance. Each question is explained in a simple and student-friendly manner so that learners can grasp the concepts without confusion. These NCERT Solutions are useful for regular study, homework help, and exam preparation. All textbook questions are solved step by step to improve problem-solving skills and conceptual clarity. Students of Class 8 studying Mathematics can use these solutions to revise important topics, understand difficult questions, and practise effectively before examinations. The chapter 13. Direct and Inverse Proportions is explained in a structured way, making it easier for students to connect the theory with the topic Exercise 13.1. By studying these updated NCERT Solutions for Class 8 Mathematics, students can build a strong foundation, boost their confidence, and score better marks in school and board exams.

13. Direct and Inverse Proportions

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Exercise 13.1

Last Update On: 06 March 2026

 

Exercise 13.1


Q1. Following are the car parking charges near a railway station upto

4 hours Rs 60

8 hours Rs 100

12 hours Rs 140

24 hours Rs 180

Check if the parking charges are in direct proportion to the parking time.

Solution :

Q2. A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of base that need to be added.

Q3. In Question 2 above, if 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800 mL of base?

Solution:

Q4. A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

Solution:

Q5. A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

Q6. In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

Therefore the length of model ship is 21 cm. 

Q7. Suppose 2 kg of sugar contains 9 × 106 crystals.

How many sugar crystals are there in

(i) 5 kg of sugar?

(ii) 1.2 kg of sugar?

Solution:

Q8. Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

Q9.  A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time

(i) The length of the shadow cast by another pole 10 m 50 cm high

(ii) The height of a pole which casts a shadow 5m long.

Solution:

Q10. A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

Solution:

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