This quiz works best with JavaScript enabled. Home > Cbse > Class 8 > Mathematics > Direct And Inverse Proportions > Class 8 Maths Chapter 13 Direct And Inverse Proportions – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The scale of a map is 1:2, 00, 00, 000. If two cities are 6cm apart on the map, then the actual distance between them is A) 120km. B) 1200 km. C) 600km. D) 200 km. Show Answer Correct Answer: B) 1200 km. 2. 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in ..... minutes A) 108. B) 100. C) 144. D) 174. Show Answer Correct Answer: B) 100. 3. 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? A) 32 cm. B) 32 m. C) 21 m. D) 21 cm. Show Answer Correct Answer: D) 21 cm. 4. Copies of a book cost Rs 600. What will 400 copies cost? A) Rs 2000. B) Rs 1000. C) Rs 2400. D) Rs 3000. Show Answer Correct Answer: A) Rs 2000. 5. Identify whether the given relation is Direct or Indirect Proportion?Area of cultivated land and the crop harvested A) Director Proportion. B) Indirect Proportion. C) All the above. D) None of the above. Show Answer Correct Answer: A) Director Proportion. 6. What type of variation does this scenario represent?The outside temperature and the number of layers of clothes you need to wear outside to feel comfortable A) Direct variation. B) Inverse variation. C) Joint variation. D) None of these. Show Answer Correct Answer: B) Inverse variation. 7. What is the relationship between two quantities in an inverse proportion? A) The two quantities are not related to each other. B) As one quantity increases, the other quantity decreases. C) The relationship between the two quantities does not change. D) As one quantity increases, the other quantity also increases. Show Answer Correct Answer: B) As one quantity increases, the other quantity decreases. 8. Time taken will be less if the speed is increased (with the same distance covered). This sentence relates to A) Direct proportions. B) Inverse proportions. C) All the above. D) None of the above. Show Answer Correct Answer: B) Inverse proportions. 9. Explain how you can identify an inverse proportion from a given set of data. A) Identifying that the two variables have no relationship to each other. B) Noticing that the two variables remain constant regardless of changes in each other. C) Observing that as one variable increases, the other variable decreases in a consistent manner. D) Observing that as one variable increases, the other variable also increases. Show Answer Correct Answer: C) Observing that as one variable increases, the other variable decreases in a consistent manner. 10. If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours? A) 28. B) 24. C) 18. D) 12. Show Answer Correct Answer: B) 24. 11. 12 men can dig a pond in 8 days. How many men can dig it in 6 days? A) 20. B) 24. C) 16. D) 15. Show Answer Correct Answer: C) 16. 12. The scale of a map says that 6 cm represents 15 km. What distance on the map represents an actual distance of 6 kilometers? A) 2.5. B) 2.4. C) 3.6. D) .42. Show Answer Correct Answer: B) 2.4. 13. 8 cows can graze a field in 28 days. How long would 4 cows take to graze the same field? A) 36. B) 56. C) 48. D) 40. Show Answer Correct Answer: B) 56. 14. There are 100 students in a hostel. Food provision for them is for 20 days. How long will these provisions last, if 25 more students join the group? A) 21. B) 17. C) 16. D) 10. Show Answer Correct Answer: C) 16. 15. The time needed to travel a certain distance varies inversely with the rate of speed. If it takes 6 hours to travel a certain distance at 40 miles per hour, how long will it take to travel the same distance at 55 miles per hour? A) Direct Variation. B) Inverse Variation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Inverse Variation. 16. Identify whether the given relation is Direct or Indirect Proportion?The number of workers on a job and the time to complete the job A) Direct Proportion. B) Indirect Proportion. C) All the above. D) None of the above. Show Answer Correct Answer: B) Indirect Proportion. 17. Persons had food provision for 24 days. If 20 persons left the place, the provision will last for: A) 60. B) 70. C) 30. D) 45. Show Answer Correct Answer: C) 30. 18. At Sec 2 camp, there is sufficient food for 48 students to last 6 days. If 12 students are absent from the camp, how many more days can the food last? A) 8. B) 2. C) 4. D) 6. Show Answer Correct Answer: B) 2. 19. The value of y varies directly with x. Which function represents the relationship between x and y if y = 14 when x = 6. A) Y = 84x. B) Y=7/3x. C) Y = 20x. D) Y=3/7x. Show Answer Correct Answer: B) Y=7/3x. 20. If 'A' can finish a work in 'n' days then part of work finished in 1 day is A) 1-n. B) 1/n. C) N-1. D) None of these. Show Answer Correct Answer: B) 1/n. 21. Sonam is going to a picnic with her family. They are using a road map with a scale of 1 cm representing 12 km to travel to a place A. If they travel on the road for 48 km, what would be the distance covered in the map? A) 0.04 m. B) 0.04 cm. C) 40 cm. D) 4 m. Show Answer Correct Answer: A) 0.04 m. 22. X and y are in direct proportion if A) Xy = k or y = ky. B) Y-x=k or x=kx. C) X/y=k or x=ky. D) X+y=k or y= kx. Show Answer Correct Answer: C) X/y=k or x=ky. 23. Boyle's Law states that, for a fixed amount of gas, the volume of the gas at a constant temperature is inversely proportional to the pressure. If a certain gas occupies 9.84 liters at a pressure of 50 centimeters of mercury (cm Hg), what is the approximate pressure when the volume is increased to 12 liters? A) 41.0 cm Hg. B) 45.1 cm Hg. C) 43.2 cm Hg. D) 39.8 cm Hg. Show Answer Correct Answer: A) 41.0 cm Hg. 24. 8 g of sandal wood cost Rs 40. What will 10 g cost? A) Rs 30. B) Rs 50. C) Rs 36. D) Rs 48. Show Answer Correct Answer: B) Rs 50. 25. A car travelling at a uniform speed covers a distance of 50 km in 30 minutes. How far will it travel in 3 hours? A) 25/3 km. B) 300 km. C) 500 km. D) 5 km. Show Answer Correct Answer: B) 300 km. 26. 48 men were deployed to construct a bridge in 30 days.How many days does it take for 16 men to construct 2 identical bridges? A) 150. B) 180. C) 190. D) 160. Show Answer Correct Answer: B) 180. 27. The number of teeth and the age of a person vary A) Directly with each other. B) Inversely with each other. C) Neither directly nor inversely with each other. D) Sometimes directly and sometimes inversely with each other. Show Answer Correct Answer: D) Sometimes directly and sometimes inversely with each other. 28. The number of hours required to do a job varies inversely as the number of people working. It takes 8 hours for 4 people to paint the inside of a house. How long would it take 5 people to do the job? A) Direct Variation. B) Inverse Variation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Inverse Variation. 29. The time to complete a project varies inversely with the number of employees. If 3 people can complete the project in 7 days, how long will it take 5 people? A) 4.2 days. B) 12 days. C) 10 days. D) 6.2 days. Show Answer Correct Answer: A) 4.2 days. 30. Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y? A) 25 and 35. B) 35 and 25. C) 35 and 49. D) 15 and 21. Show Answer Correct Answer: B) 35 and 25. 31. A farmer has enough food to feed 20 animals at his farm for 6 days. How long the food lost if there were 10 more animals in the farm? A) 5 days. B) 4 days. C) 3 days. D) 6 days. Show Answer Correct Answer: B) 4 days. 32. The population of a country and the area of land per person are inversely proportional A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 33. Which equation shows a direct proportion? A) Y = 3/4 x. B) Y = 5x-2. C) X = 6. D) Y-X = 4. Show Answer Correct Answer: A) Y = 3/4 x. 34. Suppose y varies directly as x. If y = 22.5 when x = 15, find y when x = 20. A) 30. B) 1.5. C) 337.5. D) 16.875. Show Answer Correct Answer: A) 30. 35. A truck needs 54 litres of diesel for covering a distance of 297 km. The diesel required by the truck to cover a distance of 550 km is A) 25.16 litres. B) 50 litres. C) 25 litres. D) 100 litres. Show Answer Correct Answer: D) 100 litres. 36. The equation xy = 25 represents: A) Direct variation. B) Inverse variation. C) Joint variation. D) None of these. Show Answer Correct Answer: B) Inverse variation. 37. It takes 4 people 2 days to paint a wall. How long would it take if we got8 people to do it? A) 6. B) 1. C) 4. D) 8. Show Answer Correct Answer: B) 1. 38. The more people the more plates of rice needed. This sentence refers to A) Direct proportions. B) Inverse proportions. C) All the above. D) None of the above. Show Answer Correct Answer: A) Direct proportions. 39. The variable x varies directly as y and x-80 when y is 160. What is y when x is 64? A) 128. B) 36. C) 102. D) 74. Show Answer Correct Answer: A) 128. 40. A truck runs at the speed of 36km/hr. How far does it go in 12 seconds? A) Weld. B) 120m. C) 300m. D) 100m. Show Answer Correct Answer: B) 120m. 41. What is the relationship between two quantities in a direct proportion? A) They have no relationship. B) One increases while the other decreases. C) They increase or decrease together. D) They move in opposite directions. Show Answer Correct Answer: C) They increase or decrease together. 42. A horse eats 18 kg of com in 12 days? How much does he eat in 9 days? A) 13.5 kg. B) 11.5 kg. C) 14.5 kg. D) 12.5 kg. Show Answer Correct Answer: A) 13.5 kg. 43. If the price of 15 books is Rs. 270, then how many such books can be bought in Rs. 450? A) 20. B) 22. C) 25. D) 18. Show Answer Correct Answer: C) 25. 44. Both a and b vary inversely proportional to each other. When a is 0.05, b is 1.25. What will be the value of b when a is 2.4? A) 0.045. B) 1.25. C) 0.026. D) 1.36. Show Answer Correct Answer: C) 0.026. 45. Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $ 187.15, what should she earn if she worked 40 hours? A) $ 472.80. B) $ 440. C) $ 394. D) $ 512.20. Show Answer Correct Answer: C) $ 394. 46. Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation? A) Y = 5.25x. B) Y=1344x. C) Y=4/21x. D) Y=100x. Show Answer Correct Answer: A) Y = 5.25x. 47. Say 'TRUE' or 'FALSE'The population of a country and the area of land per person are inversely proportional A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 48. The rent of 7 hectares is Rs 875. What is the rent of 16 hectares? A) Rs 1500. B) Rs 1600. C) Rs 1200. D) Rs 2000. Show Answer Correct Answer: D) Rs 2000. 49. Give an example of a direct proportion from everyday life. A) The more you exercise, the more weight you gain. B) The more you study, the less you learn. C) The more hours you work, the more money you earn. D) The more you eat, the less hungry you feel. Show Answer Correct Answer: C) The more hours you work, the more money you earn. 50. 15 books weigh 6 kg. What will 6 books weigh? A) 1.2 kg. B) 2.4 kg. C) 3.8 kg. D) 3 kg. Show Answer Correct Answer: B) 2.4 kg. 51. Meenakshi cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be A) 20 km/h. B) 20/3 km/h. C) 15 km/h. D) 16 km/h. Show Answer Correct Answer: A) 20 km/h. 52. The number of mistakes is ..... proportional to practice A) Directly. B) Inversely. C) All the above. D) None of the above. Show Answer Correct Answer: A) Directly. 53. 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? A) 3. B) 4. C) 5. D) NOT. Show Answer Correct Answer: B) 4. 54. 1 Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v? A) 2 and 3. B) 25 and 37.5. C) 15 and 20. D) 8 and 12. Show Answer Correct Answer: C) 15 and 20. 55. 20 trucks can hold 150 metric tonnes. How much will 12 trucks hold? A) 80 metric tonnes. B) 60 metric tonnes. C) 40 metric tonnes. D) 90 metric tonnes. Show Answer Correct Answer: D) 90 metric tonnes. 56. A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle? A) 2. B) 1. C) 8. D) 4. Show Answer Correct Answer: D) 4. 57. There are 150 students in a hostel. Food provision for them is for 20days. How long will these provisions last, if 25 students left the group? A) 16. B) None of these:/. C) 23. D) 25. Show Answer Correct Answer: B) None of these:/. 58. If 18 drinks cost £54, how much will 7 drinks cost? A) £16. B) £24. C) £18. D) £21. Show Answer Correct Answer: D) £21. 59. Does the equation show an inverse variation? y=10/x A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 60. Quantity of petrol and its cost relates to A) Direct proportions. B) Inverse proportions. C) All the above. D) None of the above. Show Answer Correct Answer: A) Direct proportions. Next →Related QuizzesMathematics QuizzesClass 8 QuizzesClass 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 2Class 8 Maths Chapter 13 Direct And Inverse Proportions Quiz 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books