Detailed NCERT Solutions for 8 Mathematics 13. Direct and Inverse Proportions to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 8 Mathematics 13. Direct and Inverse Proportions to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Exercise 13.1. Whether you are studying for board exams or mid-term exams, 8 Mathematics Chapter 13. Direct and Inverse Proportions solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
ncert_solutionsExercise 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:

Exercise 13.1 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 8 Mathematics Chapter 13. Direct and Inverse Proportions solutions help you understand the core concepts and practice effectively.
Revision is the key to exam success. Our notes for 8 Mathematics highlight important formulas, key definitions, and exam-ready points from Chapter 13. Direct and Inverse Proportions. These quick revision notes make last-minute preparation easy.
Every NCERT chapter ends with exercises, and solving them is crucial. Our Exercise 13.1 include complete solutions for 8 Mathematics Chapter 13. Direct and Inverse Proportions exercises. With step-by-step answers, you gain clarity and confidence to attempt similar exam questions.
To boost your preparation, we also provide additional important questions with answers. These are prepared from previous year board papers, sample papers, and important concepts of Chapter 13. Direct and Inverse Proportions. Practicing these ensures you are well-prepared for both board and mid-term exams.
Our Exercise 13.1 are useful for both board exams and mid-term exams. For 8 Mathematics, we provide notes, exercises, and important Q&A so that you can revise smartly and write perfect answers in exams.
In short, Exercise 13.1 for 8 Mathematics Chapter 13. Direct and Inverse Proportions are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
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