CBSE Class 8 Mathematics Direct And Inverse Variations Worksheet Set B

Question. On a scale of a map, 0.6 em represents 6.6 km. If the distance between the points on the map is 80.5 em. What is the actual distance between these places ?
(A) 9 km
(B) 72.5 km
(C) 190.75 km
(D) 885.5 km
Answer : D

Question. In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For how many days will the remaining provisions last ?
(A) 180
(B) 285
(C) 139(16/19)
(D) 200
Answer : B

Question. A flagstaff 17.5 m high casts a shadow of length 40.25 m. What is the height of the building which casts a shadow of length 28.75 m under similar conditions?
(A) 10m
(B) 12.5 m
(C) 17.5 m
(D) 21.25 m
Answer : B

Question. Suman drove 244 km in 4 hours. How long will he take to drive 366 km going at the same speed?
(A) 8 hours
(C) 10 hours
(B) 4 hours
(D) 6 hours
Answer : D

Question. 5 people can paint a wall in 5 hours. In how many hours can 3 people paint the same wall?
(A) 8(2/3) hours
(B) 83 hours
(C) 9(1/3) hours
(D) 8 hours
Answer : B

Question. John bought 9 books for ₹36. How much should he pay for 5 such books ?
(A) ₹18
(B) ₹12
(C) ₹72
(D) ₹20
Answer : D

Question. A typist can finish typing 3 pages in 5 minutes. How many minutes does it take him to type 10 pages ?
(A) 16.7 minutes
(B) 17.6 minutes
(C) 180 minutes
(D) 160 minutes
Answer : A

Question. A rope makes 70 rounds of the circumference of a cylinder whose radius of the base is 14 em. How many times can it go round a cylinder with radius 20 em ?
(A) 40
(B) 49
(C) 100
(D) 54
Answer : B

Question. A supply of food lasts for a week for 25 families. How long would it last if 5 more families are to be supplied?
(A) 5 days
(B) 6 days
(C) 6 of a week
(D) 15 weeks
Answer : C

Question. A certain number of men can finish a piece of work in 100 days. If, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally ?
(A) 75
(B) 82
(C) 100
(D) 110
Answer : D

Question. A tailor mak es 16 dresses from a 40 m long material. How much material would be needed for 20 such dresses ?
(A) 20 m
(B) 60 m
(C) 28 m
(D) 50 m
Answer : D

Question. Three people paint a house in 20 days.
How many days do 30 people take to do the same?
(A) 3 days
(C) 60 days
(B) 2 days
(D) 12 days
Answer : B

Question. A recipe for 20 rolls needs 5 tablespoons of butter. How many tablespoons of butter is needed for 30 rolls ?
(A) 6
(B) 7
(C) 7.5
(D) 6.5
Answer : C

Question. Food in a camp lasts for 8 men for 29 weeks. How long would the food last for 10 men?
(A) 22.3 weeks
(B) 24 weeks
(C) 32 weeks
(D) 23.2 weeks
Answer : D

Question. A shirt costs ₹520 and a pair of trousers cost ₹145. How much does it cost for 2 such shirts and 3 pairs of such trousers ?
(A) ₹1040
(B) ₹1475
(C) ₹605
(D) ₹435
Answer : B

Question. A shopkeeper makes a profit of ₹15 from 36 tins of oil. How much profit does he make from 66 such tins ?
(A) ₹32.50
(C) ₹27.50
(B) ₹22.50
(D) ₹18.50
Answer : C

Question. A car needs 33 litres of petrol to cover a distance of 363 km. Petrol costs · 78 per litre. How much would one spend on a journey of 407 km by that car ?
(A) ₹2886
(B) ₹2780
(C) ₹2618
(D) ₹2870
Answer : A

Question. A car takes one hour to cover a certain distance at 60 km/ h. How long will the same journey take at 80 km/ h ?
(A) 45 minutes
(B) 2 hours
(C) 90 minutes
(D) 3 hours
Answer : A

Question. 6 workers complete a job in 8 days. How many workers are needed to complete the job 2 days in advance ?
(A) 4
(B) 8
(C) 1 0
(D) 6
Answer : B

Question. A van travels 210 km in 3 hours. How far can it travel in 5 hours ?
(A) 350 km
(C) 35 km
(B) 70 km
(D) 270 km
Answer : A

Question. Find the value of x.
Answer : 7

Question. Find the value of y.
Read the following statements in which two quantities are inter-related. Then answer question 5 to 7.
(i) Speed and distance covered
(ii) Speed and time taken
(iii) Distance covered and time taken
(iv) Age and height of a person.
Answer : 1000

Question. In which statements the quantities vary directly.
Answer : (i), (iii)

Question. In which statements the quantities vary inversely.
Answer : (ii)

Question. In which statement quantities neither vary directly nor inversely.
Answer : (iv)

Question. Mahesh goes 5 km with a speed of 10 km/hr. If he doubles his speed, find the time taken to cover the same distance.
Answer : 15 Minutes

Question. In one day Ramesh completes 1/6 part of a work. In how many days he can finish the whole work.
Answer : 6 Days.

Question. If a minute hand in a clock makes an angle of 30° in 5 minutes. Find the angle covered by it between 4:10 p.m. and 4:30 p.m.
Answer : 120°

Question. Which of the following quantities do not vary directly with each other.
(i) Time x to cover a fixed distance with speed y.
(ii) Number of Pens and their cost.
(iii) Weight of articles x and their cost y.
(iv) Wages y and hours of work x.
(v) Distance x and time y, speed remaining the same.
(vi) The length x of a journey by bus and the price of the ticket.
Answer : (i)

Question. If the weight of 6 sheets of paper be 45gms. How many sheets would weigh 1(1/2)kg ? 
Answer : 200 sheets

Question. The cost of one dozen copies is Rs. 36. What is the cost of :
(i) 2 copies (ii) 5 copies
(iii) 10 copies (iv) 6 copies
Answer : (i) 6 (ii) 15 (iii) 30 (iv) 18

Question. 15 men can dig a 20 meters long trench in one day. How many men should be employed for digging 140 meters long trench of the same type in one day.
Answer : 105 men

Question. The cost of mailing 20 parcels is Rs. 160. What is cost of mailing :
(i) 8 parcels (ii) 15 parcels
(iii) 70 parcels (iv) 200 parcels
Answer : (i) Rs. 64 (ii) Rs. 120 (iii) Rs. 560 (iv) Rs. 1600

Question. Twenty-seven tons of Iron cost Rs. 540.00. Find the cost of 120 tons of Iron.
Answer : Rs. 2400

Question. A man whose height is 165 cm casts a shadow of 55 cm at a particular time of the day.
Find the length of shadow of a tree 33m high under similar weather conditions.
Answer : 11 m

Question. The shadow of Qutab Minar, which is 72 m high is 80m at a particular time on a day.
Find the height of an electric pole which cast a shadow of 10m under similar condition.
Answer : 9 meters

Question. The weekly consumption of rice of a hostel with 480 students is 160 kg. Find the consumption if the number of students becomes 720.
Answer : 240 kg

Students must free download and practice these worksheets to gain more marks in exams. CBSE Class 8 Mathematics Worksheet - Direct and Inverse Variations