Toppers Study Toppers Study Toppers StudyDetailed 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 13.2. 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_solutionsQ1. Which of the following are in inverse proportion?
(i) The number of workers on a job and the time to complete the job.
(ii) The time taken for a journey and the distance travelled in a uniform speed.
(iii) Area of cultivated land and the crop harvested.
(iv) The time taken for a fixed journey and the speed of the vehicle.
(v) The population of a country and the area of land per person.
Solution:
(i) Numbers of workers on a job and time always be in inverse proportion because when we increase in workers time reduces and when we reduce in workers time it take more time.
(ii) The time taken and distance are in direct proportion because if we increase in time it covers more distance. Hence both quantities increase together.
(iii) As area will be cultivated as more crops will be harvested. So these are direct proportion.
(iv) Time and speed always be in inverse proportion. As we increase the time we have to reduce the speed to cover a fixed distance. Similarly we see that if we increase the speed time reduces automatically.
(v) If population is increased area land will be short to live. Therefore these both quantity are in inverse proportion.
Q2. In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?
Solution: Prize will be distributed to winner in inverse proportion.
As both quantities are in inverse proportion.
Suppose the table has …
Q3. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table.
Solution:
The relation between spokes and angle between consecutive spokes are in inverse proportion.
Therefore, X1Y1 = X2Y2
Q4. If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
Solution:
According to question we have the table like this
Exercise 13.2 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 13.2 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 13.2 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 13.2 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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