# AP 8th Maths Mock Test 2021 For Chapter – 10 : “Direct and Inverse Proportions” Online Practice Test

1. If xy then complete the following table
2. If the cost of 12 books of same type is ₹144 then the cost of 20 books is
3. If 30 dozen eggs cost is ₹300 then the cost of 5 dozens is
4. 8 men can do a piece of work in 10 days . How long will 10 men take ?
5. 48 bags of paddy costs ₹16 , 800 then the cost of 36 bags of paddy is
6. A train moves at a constant speed of 75 km/hr then How far will it travel in 20 minutes ?
7. A train moves at a constant speed of 75 km/hr then what is the time required for train to cover 300 km ?
8. kg of a sweet costs ₹32 then the cost of 2 kg of the same is
9. Sarma types 540 words during half an hour then the number of words he will type in 6 minutes is ...........
10. A car covers a distance in 40 minutes with an average speed of 60 km/hr . If the distance to be converted in only 25 minutes , what will be the speed of the car ?
11. If x y , when x = 24 , y = 40 then if y = 130 what is x ?
12. 6 men can do a work in 8 days . How long will 10 men take ?
13. If x , 20 , 30 , 60 are in proportion then x =
14. If 11.25 m of a uniform iron rod weight is 42.75 kg . What will be the weight of 6 m of the same rod ?
15. If a quarter kg of green chillies cost 60 paise then how many paise will 200 g cost ?
16. 8 bags of cattle feed are needed to feed 4 cows for 2 months . How long will the same feed last to feed 6 cows ?
17. In 15 days , the earth picks up 1.2 108 kg of dust from the atmosphere . In how many days will it pick up 4.8 108 kg of dust ?
18. A , B and C can do a piece of work in 10 days , 12 days and 15 days respectively . How long will it take to finish it if they work together ?
19. A pipe can fill a cistern in 9 hrs . Due to a leak at its bottom , the cistern fills up in 10 hrs . If the system is full , in how much time will it be emptied by the leak ?
20. If y1 and y2 are the values of y corresponding to the values of x1 and x2 are respectively and if x y then ...............
21. If x y then we can write
22. Assertion A : The number of apples n is directly proportional to its cost x
Reason R : is a constant
Which of the following is correct ?
23. Match the following
a. x y            ( ) i. xy = k
b. x           ( ) ii. x = k
c. x y2           ( ) iii. = k
d. x2         ( ) iv. x = ky2
24. The rule a1 : 2 :: b2 : b1 is applied when the quantities vary ........
25. When x and y are in inverse proportion and if y doubles then x becomes ........................
26. If the cost of x metres of cloth is 'd' rupees , what is the cost of 'y' meters of wire at the same rate ?
27. If x - 3y = 0 the proportion between x and y is..............
28. Which of the following statements are true regarding direct proportion ? Given x and y are two quantities
Statement I : Both x and y increase or both decrease then we say x is directly proportional to y
Statement II : If x is directly proportional to y then both of them increase or decrease together and remains constant
Statement III : If x is directly proportional to y , we write x y
29. Speed of a bus and the time taken to cover a certain distance are .......... proportional
30. Which of the following situation does not involve direct proportion ?
31. Using the table , find the constant of proportion
32. Which of the following is in direct proportion ?
33. What is the value of R ?
34. From Ohm's law we know that i = in which i is current and R is resistance and V is potential difference . Then the relation between i and R is .......
35. The scale of a map is 1.3 107 cm . Two cities are 5 cm apart on the map . What is the actual distance between them in km ?
36. The cost of 5 meters of a particular quality of cloth is ₹210 . Find the cost of 2 meters of cloth of the same quality
37. The cost of 5 meters of a particular quality of cloth is ₹210 . Find the cost of 4 meters of cloth of the same quality
38. The cost of 5 kgs of a particular quality of cotton is ₹210 . Find the cost of 10 kgs of cotton of the same quality
39. The cost of 5 kilograms of a particular quality of brinjals is ₹210 . Find the cost of 13 kilograms of brinjals of the same quality
40. The cost of 1 apple is ₹8 and cost of 4 apples is ₹32 then cost of 20 apples =
41. If 48 bags of wheat costs ₹16 , 800 then find the cost of 36 bags
42. The monthly average expenditure of a family with 4 members is ₹2,800 then find the monthly average expenditure of a family with only 3 members
43. In a ship of length 28 m , height of its masts is 12 m . If the height of mast in its model is 9 cm , what is the length of model ship ?
44. A vertical pole of 5.6 m height casts a shadow 3.2 m long . At the same time find the length of the shadow cast by another pole 10.5 m high
45. A vertical pole of 5.6 m height casts a shadow 3.2 m long . At the same time find the height of the pole which casts a shadow 5m long
46. A car travels 14 km in 25 minutes . If the speed remains the same , how far can it travel in 5 hours ?
47. If the weight of 12 paper is 40 grams , how many papers would weigh 16 kgs?
48. A bus moves at a constant speed of 75 km/hr then how far will it travel in 20 minutes ?
49. A truck moves at a constant speed of 75 km/hr then find the time required to cover a distance of 250 km
50. The plan of a microchip has the scale 40 : 1 . The length of the plan is 18 cm , find the actual length of the micro chip ?
51. The average age of consisting doctors and lawyers is 40 . If the doctors average age is 35 and lawyer average age is 50 , find the ratio of number of doctors to the number of lawyers
52. Siri has enough money to buy 5 kg of potatoes at price of ₹8 per kh . How much can she buy for the same amount if the price is increased to ₹10 per kg ?
53. A camp has food stock for 500 people for 70 days . If 200 more people join the camp , how long will the stock last ?
54. 36 men can do a piece of work in 12 days . In how many days 9 men can do the same work ?
55. A cyclist covers a distance of 28 km in 2 hours . Find the time taken by him to cover a distance of 56 km with the same speed
56. A ship can cover a certain distance in 10 hours at a speed of 16 nautical miles per hour . By how much should its speed be increased so that it takes only 8 hours to cover the same distance ?
57. 5 pumps are required to fill a tank in 1 hours . How many pumps of the same type are used to fill the tank in half an hour ?
58. If 15 workers can build a wall in 48 hours , how many workers will be required to do same work in 30 hours ?
59. A school has 8 periods a day each of 45 minutes duration . How long would each period become , if the school has 6 periods a day ?
60. If a varies directly as b and inversely as c . Find the percentage increase in a due to an increase of 12% in b and decrease of 20% in c
61. If x + 1 men will do work in x + 1 days , find the number of days that (x + 2) men can finish the same work
62. Rice costing ₹480 is needed for 8 members for 20 days . What is the cost of rice required for 12 members for 15 days ?
63. 10 men can lay a road 75 km.long in 5 days . In how many days can 15 men lay a road 45 km.long ?
64. 24 men working at 8 hours per day can do a piece of work in 15 days . In how many days can 20 men working at 9 hours per day do the same work ?
65. 175 men can dig a canal 3150 m long in 36 days . How many men are required to dig a canal 3900 m.long in 24 days ?
66. If 14 typists typing 6 hours a day can take 12 days to complete the manuscript of a book , then how many days will 4 typists working 7 hours a day , can take to do the same job ?
67. The cost of 10 kgs iron is ₹28000 then find the cost of iron for 5 bags
68. The monthly average expenditure of a family with 5 members is ₹3,200 then find the monthly average expenditure of a family with only 2 members
69. In a ship of length 50 m , height of its masts is 20 m . If the height of mast in its model is 10 cm , what is the length of model ship ?
70. 36 men can do a piece of work in 12 days . In how many days 18 men can do the same work ?
71. 36 men can do a piece of work in 12 days . In how many days 12 men can do the same work ?
72. The plan of microchip has the scale 40 : 1 . The length of the plan is 20 cm then find actual length of micro chip ?
73. The plan of microchip has the scale 40 : 1 . The length of the plan is 30 cm then find actual length of micro chip ?
74. The plan of microchip has the scale 40 : 1 . The length of the plan is 10 cm then find actual length of micro chip ?
75. A auto travels 14 km in 25 minutes . If the speed remains the same , how far can in travel in 4 hours 10 minutes ?
76. A loaded truck travels 14 km in 25 minutes . If the speed remains the same , how far can it travel in 9 hours 10 minutes ?
77. A loaded truck travels 14 km in 25 minutes . If the speed remains the same , how far can it travel in 15 hours ?
78. A lorry travels 14 km in 25 minutes . If the speed remains the same , how far can it travel in 10 hours ?
79. A lorry travels 14 km in 25 minutes . If the speed remains the same , how far can it travel in 7 hours ?
80. A vertical pole of 5.6 m height casts a shadow 3.2 m long . At the same time find length of shadow cast by another pole 14 m high
81. A  pole of 5.6 m height casts a shadow 3.2 m long . At the same time find length of shadow cast by another pole 21 m high
82. A  pole of 5.6 m height casts a shadow 3.2 m long . At the same time find length of shadow cast by another pole 12.6 m high
83. A  pole of 5.6 m height casts a shadow 3.2 m long . At the same time find length of shadow cast by another pole 7 m high
84. A  pole of 5.6 m height casts a shadow 3.2 m long . At the same time find length of shadow cast by another pole 17.5 m high
85. In a ship of length 28 m , height of its mast is 12 m . If the height of mast in its model is 27 cm , what is the length of the model ship ?
86. In a ship of length 28 m , height of its mast is 12 m . If the height of mast in its model is 21 cm , what is the length of the model ship ?
87. In a ship of length 28 m , height of its mast is 12 m . If the height of mast in its model is 42 cm , what is the length of the model ship ?
88. In a ship of length 28 m , height of its mast is 12 m . If the height of mast in its model is 12 cm , what is the length of the model ship ?
89. In a ship of length 28 m , height of its mast is 12 m . If the height of mast in its model is 18 cm , what is the length of the model ship ?
90. In a ship of length 28 m , height of its mast is 12 m . If the height of mast in its model is 33 cm , what is the length of the model ship ?
91. The monthly average expenditure of a family with 4 members is ₹2,800 . Find the monthly average expenditure of family with only 2 members
92. The monthly average expenditure of a family with 4 members is ₹2,800 . Find the monthly average expenditure of family with only 5 members
93. The monthly average expenditure of a family with 4 members is ₹2,800 . Find the monthly average expenditure of family with only 9 members
94. The monthly average expenditure of a family with 4 members is ₹2,800 . Find the monthly average expenditure of family with only 7 members
95. The monthly average expenditure of a family with 4 members is ₹2,800 . Find the monthly average expenditure of family with only 11 members
96. The monthly average expenditure of a family with 4 members is ₹2,800 . Find the monthly average expenditure of family with only 6 members
97. The cost of 8 dozen bananas is ₹280 then find cost of 12 dozens
98. The cost of 8 dozen bananas is ₹280 then find cost of 19 dozens
99. The cost of 8 dozen bananas is ₹280 then find cost of 32 dozens
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