Chapter 11 – Problems on Measurement
Problem Set 46
1. Add :
(1) ₹ 9, 50 paise + ₹ 14, 60 paise
Solution:
Ans: ₹ 9, 50 paise + ₹ 14, 60 paise = ₹ 24, 10 paise
(2) 6 cm 5 mm + 7 cm 9 mm
Solution:
Ans: 6 cm 5 mm + 7 cm 9 mm = 14 cm 4 mm
(3) 22 m 50 cm + 25 m 75 cm
Solution:
Ans: 22 m 50 cm + 25 m 75 cm = 48 m 25 cm
(4) 15 km 740 m + 13 km 950 m
Solution:
Ans: 15 km 740 m + 13 km 950 m = 29 km 690 m
(5) 25 kg 650 g + 29 kg 770 g
Solution:
Ans: 25 kg 650 g + 29 kg 770 g = 55 kg 420 gm
(6) 19 l 840 ml + 25 l 250 ml
Solution:
Ans: 19 l 840 ml + 25 l 250 ml = 45 l 90 ml
2. Subtract :
(1) ₹ 19, 50 paise – ₹ 12, 60 paise
Solution:
Ans: ₹ 19, 50 paise – ₹ 12, 60 paise = ₹ 6, 90 paise
(2) 24 cm 2 mm – 3 cm 8 mm
Solution:
Ans: 24 cm 2 mm – 3 cm 8 mm = 20 cm 4 mm
(3) 20 m 30 cm – 17 m 60 cm
Solution:
Ans: 20 m 30 cm – 17 m 60 cm = 2 m 70 cm
(4) 40 km 255 m – 17 km 960 m
Solution:
Ans: 40 km 255 m – 17 km 960 m = 22 km 295 m
(5) 35 kg 150 g – 26 kg 470 g
Solution:
Ans: 35 kg 150 g – 26 kg 470 g = 8 kg 680 gm
(6) 46 l 200 ml – 38 l 750 ml
Solution:
Ans: 46 l 200 ml – 38 l 750 ml = 7 l 450 ml
Problem Set 47
1. For his birthday, Ajay gave 20 l 450 ml of milk to the children in an Ashramshala and 28 l 800 ml to the children in an orphanage. How much milk did Ajay donate?
Solution:
Litres of milk Ajay gave to the children in an Ashramshala = 20 l 450 ml
Litres of milk Ajay gave to the children in an orphanage = 28 l 800 ml
Total milk donated by Ajay is,
Ans: Ajay donated 49 l 250 ml in all.
2. Under the Rural Cleanliness Mission, college students cleaned 1 km 750 m of a village road that is 2 km 575 m long. How much remained to be cleaned?
Solution:
Length of the road cleaned by students = 1 km 750 m
Total length of the village road = 2 km 575 m
Total road left to be cleaned,
Ans: 825 m of road is left to be cleaned.
3. Babhulgaon used 21,250 litres of treated waste water in the fields. Samvatsar used 31,350 litres of similar water. How much treated waste water was used in all?
Solution:
Treated wastewater used by Babhulgaon = 21,250 litres
Treated wastewater used by Samvatsar = 31,350 litres
Total treated wastewater used is,
Ans: 52,600 litres of treated waste water is used in all.
4. If half a litre of milk costs 22 rupees, how much will 7 litres cost?
Solution:
Cost of 0.5 litre of milk = ₹ 22
∴ Cost of 1 litre of milk = ₹ 22 + ₹ 22
∴ Cost of 1 litre of milk = ₹ 44
Cost of 7 litres of milk = ?
Ans: 7 litres of milk costs ₹ 308.
5. If the speed of a motorcycle is 40 km per hour, how far will it travel in an hour and a quarter?
Solution:
One hour and quarter = 1 hour + 0.25 hour
∴ One hour and quarter = 1.25 hours
Distance travelled by motorcycle in 1 hour = 40 km/hr
∴ Distance travelled by motorcycle in one and a quarter hour = ?
∴ Distance travelled by motorcycle in one and a quarter hour is,
Ans: The motorcycle travels 50 km in one and a quarter hours.
6. If a man walks at a speed of 4 kmph, how long will it take him to walk 3 km?
Solution:
Waking speed of the man = 4 kmph
∴ Time taken by him to walk 4 km = 1 hour = 60 minutes
∴ Time taken by him to walk 1 km = (60 ÷ 4) minutes
Time taken by him to walk 1 km = 15 minutes
∴ Time taken by him to walk 3 km = 15 × 3
∴ Time taken by him to walk 3 km = 45 minutes
Ans: Time taken by him to walk 3 km is 45 minutes.
7. If a rickshaw travels at a speed of 30 kmph, how far will it travel in three quarters of an hour?
Solution:
Three quarters of an hour = 0.75 hours
Distance travelled by rickshaw in 1 hour = 30 km
∴ Distance travelled by rickshaw in 0.75 hours = ?
Distance travelled by rickshaw in 0.75 hours is,
Ans: The rickshaw travels 22.5 km in three quarters of an hour.
8. During Cleanliness Week, children cleaned the public park in their town. They collected three quarter kilograms of plastic bags and five and a half kilograms of other garbage. How much garbage did they collect in all?
Solution:
Three quarter kilograms = 0.75 kg
Five and a half kilograms = 5 + 0.5 kg = 5.5 kg
Weight of plastic bags collected by children = 0.75 kg
Weight of other garbage collected by children = 5.5 kg
Total garbage collected by them = ?
Total garbage collected by them is,
Ans: The children collected 6.25 kg of garbage in all.
9. If one shirt needs 2m 50 cm of cloth, how much cloth do we need for 5 shirts?
Solution:
Cloth needed for 1 shirt = 2m 50 cm
Cloth needed for 5 shirts = ?
Cloth needed for 5 shirts is,
Ans: 5 shirts requires 12 m 50 cm of cloth.
10. If a car travels 60 km in an hour, how far will it travel in
(1) 2 hours?
Solution:
Distance travelled by car in 1 hour = 60 km
∴ Distance travelled by car in 2 hours = ?
Distance travelled by car in 2 hours is,
Ans: The car travels 120 km in 2 hours.
(2) 15 minutes?
Solution:
15 minutes = 0.25 hours
Distance travelled by car in 1 hour = 60 km
∴ Distance travelled by car in 0.25 hours = ?
Distance travelled by car in 0.25 hours is,
Ans: The car travels 15 km in 2 hours.
(3) half an hour?
Solution:
Half an hour = 0.5 hours
Distance travelled by car in 1 hour = 60 km
∴ Distance travelled by car in 0.5 hours = ?
Distance travelled by car in 0.5 hours is,
Ans: The car travels 30 km in 2 hours.
(4) three and a half hours?
Solution:
Three and a half hours = 3 + 0.5 = 3.5 hours
Distance travelled by car in 1 hour = 60 km
∴ Distance travelled by car in 3.5 hours = ?
Distance travelled by car in 3.5 hours is,
Ans: The car travels 210 km in 3.5 hours.
11. If one gold bangle is made from 12 grams 250 milligrams of gold, how much gold will be needed to make 8 such bangles? (1000mg = 1 g)
Solution:
1 bangles needs 12 g 250 mg of gold
8 bangles need ? gold
Gold needed for 8 bangles is,
Ans: 8 bangles will be made from 98 g of gold.
12. How many pouches of 20g cloves each can be made from 1 kg 240 g of cloves?
Solution:
1kg 240 g = 1000 g + 240 g = 1240 g
20 g cloves is to be put in 1 pouch
1240 g of cloves will be put in ? pouches
Number of pouches is,
Ans:
13. Seema’s mother bought 2m 70 cm of cloth for a kurta and 2m 40cm for a shirt. How much cloth did she buy in all?
Solution:
Cloth bought for kurta = 2 m 70 cm
Cloth bought for short = 2 m 40 cm
Total cloth bought by Seema’s mother = ?
Ans: Seema’s mother bought 5 m 10 cm of cloth in all.
14. A water tank holds 125 l of water. If 97 l 500ml of the water is used, how much water remains in the tank?
Solution:
Volume of water tank = 125 l
Volume of water used = 97 l 500 ml
Volume of water left in the tank = ?
Volume of water left in the tank is,
Ans: 27 l 500 ml of water is remaining in the tank.
15. Harminder bought 57 kg 500 g of wheat from one shop and 36 kg 800g of wheat from another shop. How much wheat did he buy altogether?
Solution:
Weight of wheat bought from one shop = 57 kg 500 g
Weight of wheat bought from another shop = 36 kg 800 g
Weight of wheat bought by Harminder altogether = ?
Ans: Harminder bought 87 kg 300 g of wheat altogether.
16. Renu took part in a 100 m race. She tripped and fell after running 80 m 50 cm. How much distance did she have left to run?
Solution:
Race distance = 100 m
Distance completed by Renu before falling = 80 m 50 cm
Distance left to run = ?
Ans: Distance left by Renu is 19 m 50 cm.
17. A sack had 40 kg 300 grams of vegetables. There were 17kg 700 g potatoes, 13 kg 400 g cabbage and the rest were onions. What was the weight of the onions?
Solution:
Total weight of vegetables in the sack = 40 kg 300 g
Weight of potatoes in the sack = 13 kg 400 g
Weight of onions in the sack = ?
Weight of onions in the sack is,
Ans: Weight of onions in the sack is 26 kg 900 g.
18. One day, Gurminder Singh walked 3 km 750 m and Parminder Singh walked 2 km 825 m. Who walked farther and by how much?
Solution:
Distance walked by Gurminder Singh = 3 km 750 m
Distance walked by Parminder Singh = 2 km 835 m
3 km 750 m > 2 km 835 m
∴ Gurminder Singh walked farther than Parminder Singh
Distance walked farther by Gurminder = ?
Ans: Gurminder Singh walked 925 m farther than Parminder Singh.
19. Suresh bought 3 kg 250 g of tomatoes, 2 kg 500 g of peas and 1 kg 750 g of cauliflower. How much was the total weight of the vegetables he bought?
Solution:
Weight of tomatoes bought by Suresh = 3 kg 250 g
Weight of peas bought by Suresh = 2 kg 500 g
Weight of cauliflower bought by Suresh = 1 kg 750 g
Total weight of vegetables bought by Suresh = ?
Total weight of vegetables bought by Suresh is,
Ans: Total weight of vegetables bought by Suresh is 7 kg 500 g.
20. Jalgaon, Bhusawal, Akola, Amravati and Nagpur lie serially on a certain route. The distances between Akola and these other places are given below. Use them to make word problems and solve the problems.
Amravati – 95 km, Bhusawal – 154 km, Nagpur – 249 km, Jalgaon – 181 km
Solution:
Q1. What is the distance between Akola and Amravati?
Ans: The distance between Akola and Amravati is 95 km.
Q2. What is the distance between Akola and Bhusawal?
Ans: The distance between Akola and Bhusawal is 154 km.
Q3. What is the distance between Akola and Nagpur?
Ans: The distance between Akola and Nagpur is 249 km.
Q4. What is the distance between Akola and Jalgaon?
Ans: The distance between Akola and Jalgaon is 181 km.
Q5. What is the distance between Amravati and Jalgaon?
Solution:
Sequence of places is Jalgaon, Bhusawal, Akola, Amravati and Nagpur.
So, Jalgaon and Amravati are opposite directions to Akola.
Distance between Amravati and Jalgaon = 181 km + 95 km = 276 km
Ans: The distance between Amravati and Jalgaon is 276 km
Q6. Which is the farthest place from Akola?
Ans: Nagpur is the farthest distance from Akola.
21. Complete the following table and prepare the total bill.
| Foodstuff | Weight (kg) | Rate ( ₹ per kg) | Cost |
|---|---|---|---|
Sugar | 2.5 | 32 | |
Rice | 4.0 | 35 | |
Chana Dal | 1.5 | 60 | |
Toor Dal | 3.0 | 70 | |
Wheat | 7.0 | 21 | |
Oil | 1.5 | 110 | |
Total | |||
Solution:
(i) Cost of 1 kg sugar = ₹ 32
∴ Cost of 2 kg sugar = 2.5 × ₹ 32
∴ Cost of 2 kg sugar = ₹ 80
(ii) Cost of 1 kg rice = ₹ 35
∴ Cost of 4 kg rice = 4 × ₹ 35
∴ Cost of 4 kg rice = ₹ 140
(iii) Cost of 1 kg chana dal = ₹ 60
∴ Cost of 1.5 kg chana dal = 1.5 × ₹ 60
∴ Cost of 1.5 kg chana dal = ₹ 90
(iv) Cost of 1 kg toor dal = ₹ 70
∴ Cost of 3 kg toor dal = 3 × ₹ 70
∴ Cost of 3 kg toor dal = ₹ 210
(v) Cost of 1 kg wheat = ₹ 21
∴ Cost of 7 kg wheat = 7 × ₹ 21
∴ Cost of 7 kg wheat = ₹ 147
(vi) Cost of 1 kg oil = ₹ 110
∴ Cost of 1.5 kg oil = 1.5 × ₹ 110
∴ Cost of 1.5 kg oil = ₹ 165
| Foodstuff | Weight (kg) | Rate ( ₹ per kg) | Cost |
|---|---|---|---|
Sugar | 2.5 | 32 | 80 |
Rice | 4.0 | 35 | 140 |
Chana Dal | 1.5 | 60 | 90 |
Toor Dal | 3.0 | 70 | 210 |
Wheat | 7.0 | 21 | 147 |
Oil | 1.5 | 110 | 165 |
Total | 832 | ||
Ans: The total bill payable for the items purchased is ₹ 832