Students often refer to Maths Mela Class 5 Solutions Chapter 5 Far and Near Question Answer NCERT Solutions to verify their answers.
Class 5 Maths Chapter 5 Far and Near Question Answer Solutions
Far and Near Class 5 Maths Solutions
Class 5 Maths Chapter 5 Solutions
Different Units but Same Measure (Pages 57-58)
Shikha and Sonu are measuring the lengths of saris and stoles in the village weaving centre. Find which measures represent the same sari or stole. You can take help of the double number line below.
Solution:
| Centimetres | Metres and Centimetres |
| 204 cm | 2 metre 4 cm |
| 540 cm | 5 metre 40 cm |
| 750 cm | 6 metre 150 cm |
| 240 cm | 2 metre 40 cm |
| 404 cm | 2 metre 204 cm |
Let Us Compare (Page 58)
Question 1.
Ritika is comparing the lengths of different rods. Compare them using <, =, > signs.
(a) 456 cm ____ 5 m
(b) 55 cm + 200 cm ____ 200 cm + 54 cm
(c) 6 m 5 cm ___ 6 m 50 cm
(d) 2 m 150 cm ___ 3 m 50 cm
(e) 238 cm ____ 138 cm + 1 m
Solution:
(a) 456 cm < 5 m
(b) 55 cm + 200 cm > 200 cm + 54 cm
(c) 6 m 5 cm < 6 m 50 cm
(d) 2 m 150 cm = 3 m 50 cm
(e) 238 cm = 138 cm + 1 m
Question 2.
World’s tallest statue
(a) What is the difference between the height of the tallest statue in the world and the Statue of Liberty?
(b) Identify the statues whose heights have the least difference.
(c) Identify the statues whose heights have the largest difference.
(d) The height of which statue will be equal to the height of the Statue of Unity, if it is doubled?
Solution:
(a) Required difference = 182 m – 93 m = 89 m
(b) Statue of Liberty and The Motherland Calls.
(c) Statue of Unity and Christ the Redeemer.
(d) The Motherland Calls.
Let Us Do (Page 59)
Measure 100 m and 200 m on your school playground, or any other place in and around your school, using a Long Tape. Mark these points and draw a straight line. Walk on the lines and count the number of steps. Use this relationship between the number of steps taken and distance walked to find distances around you for at least 3 locations. Wherever possible, walk and find the number of steps. Otherwise, find the distance and estimate the number of steps.
(a) Identify and write the locations that are the nearest and the farthest from your home.
Nearest location ____________________.
Farthest location ____________________.
(b) Write the distances obtained above in increasing order.
________, ________, ________, ________
(c) Name a location that is equal to or more than 1,000 m from your home.
Solution:
This is a practical activity that requires you to measure and record real distances around your home or school. Example:
(a) Nearest location: Grocery Store (200 meters)
Farthest location: Bus stop (1,100 meters)
(b) 200 meters, 1,100 meters
(c) Community Park (1,200 meters)
Let Us Explore (Page 59)
When we walk 1,000 m, we say we have walked 1 km.
1,000 m = 1 km
Kilo stands for thousand. This unit is used to measure long distances.
Solution:
| Length of rope | Number of ropes needed to make 1 km |
| 1,000 m | 1 |
| 100 m | 10 |
| 10 m | 100 |
| 200 m | 5 |
| 500 m | 2 |
| 250 m | 4 |
Kilometre Race (Page 60)
Sheena and Jennifer are helping to organise a 3-km race. Help them with the arrangements for the race.
1. Water stations are to be arranged after every 500 m. How many water stations must be set up? At what positions from the starting point will these water stations be placed?
Solution:
Number of water stations = 3000 m ÷ 500 m = 6.
They will be placed at 500 m, 1000 m (1 km), 1500 m, 2000 m (2 km), 2500 m, and 3000 m (3 km) from the starting point.
2. Children need to stand at an interval of300 m to direct the runners. How many children are needed? At what positions from the starting point will the children be standing?
Solution:
Number of children = 3000 m ÷ 300 m = 10.
They will be at positions 300 m, 600 m, 900 m, 1,200 m, 1,500 m, 1,800 m, 2,100 m, 2,400 m, 2,700 m, and 3,000 m from the start.
3. Red and blue flags are to be placed alternately at every 50 m. How many red and blue flags are needed till the finish line?
Solution:
Total positions for flags = 3000 m ÷ 50 m = 60.
This means there will be 60 flags in total (not including the starting line). Since they are placed alternately (red, blue, red, blue,…), there will be 30 red flags and 30 blue flags.
Let Us Do (Pages 60-61)
Longest Train Journey
The longest train journey in India is by The Vivek Express which runs from Dibrugarh in Assam to Kanniyakumari in Tamil Nadu. Look at the stations on the route shown in the table below and answer the questions.
1. The total length of the route from Dibrugarh to Kanniyakumari is _______________ km.
Solution:
4,187 km
2. The distance between Vijayawada and Jalpaiguri road is _______________.
Solution:
Required distance = 2,800 km – 983 km = 1,817 km
3. Distance between Vijayawada and Visakhapatnam is _______________.
Solution:
Required distance = 2,800 km – 2,450 km = 350 km
4. Which two stations are farther apart—Guwahati and Dimapur or Bhubaneswar and Jalpaiguri Road?
Solution:
Distance between Guwahati and Dimapur = 556 – 306 = 250 km and
Distance between Bhubaneswar and Jalpaiguri Road
= 2007 – 983 = 1024 km
Hence, Bhubaneswar and Jalpaiguri Road are farther apart.
5. What is the distance between Guwahati and Coimbatore JN?
Solution:
Required distance = 3,675 km – 556 km
= 3,119 km
Let Us Do (Page 62)
Soak some seeds of whole moong or black or white chana overnight. Next morning, take them out and wrap them in a moist cloth to sprout them. Over the next 4 days, take out one seed each day and measure the length of sprout. For ease of measurement, you can either place the seed on a paper and mark the length of the sprout, or use a thread to find its length.
Solution:
This is a hands-on activity where we observe and record how a sprout grows each day. Measure the length with ruler or thread. Fill the table with our actual data. Example:
| Number of days | Length of the sprout (in mm) |
| Day 1 | 3 mm |
| Day 2 | 7 mm |
| Day 3 | 12 mm |
| Day 4 | 18 mm |
Let Us Do (Pages 63-64)
Question 1.
Fill in the blanks appropriately in the double number lines given below.
Solution:
Solution:
Solution:
Question 2.
Use your understanding from above to fill in the blanks appropriately.
(a) 4 cm 5 mm = ______ mm
(b) 89 mm = ____ cm ____ mm
(c) 234 cm = ____ mm
(d) 514 mm = ____ cm ____ mm
(e) 6 m 34 cm = ____ cm
(f) 20 m 12 cm = ____ cm
(g) 397 m = ______ cm
(h) 5,792 cm = ______m ______ cm
(i) 9,108 cm = ______ m ______ cm
(j) 34 km = _______ m
(k) 6,870 m = ____ km ____ m
(l) 10,552 m = ____ km ___ m
(m) 29 km 30 m = ____ m
(n) 32 km 359 m = ____ m
Solution:
(a) 4 cm 5 mm = 45 mm
(b) 89 mm = 8 cm 9 mm
(c) 234 cm = 2340 mm
(d) 514 mm = 51 cm 4 mm
(e) 6 m 34 cm = 634 cm
(f) 20 m 12 cm = 2012 cm
(g) 397 m = 39700 cm
(h) 5,792 cm = 57 m 92 cm
(i) 9,108 cm = 91 m 8 cm
(j) 34 km = 34000 m
(k) 6,870 m = 6 km 870 m
(l) 10,552 m = 10 km 552 m
(m) 29 km 30 m = 29030 m
(n) 32 km 359 m = 32359 m
Let Us Do (Page 66)
Question 1.
Rani has two red-coloured ribbon rolls, one of length 3 m 75 cm and another 2 m 25 cm long. How much ribbon does she have?
Solution:
Total length of ribbon rolls = 3 m 75 cm + 2 m 25 cm
= 6m
Question 2.
The distance from Bhopal to Sanchi is 48 km 700 m. Bhadbhada Ghat waterfall is on the way, and 17 km 900 m away from Bhopal. How far is Sanchi from the waterfall?
Solution:
Required distance = 48 km 700 m – 17 km 800 m
= 30 km 900 m
Question 3.
Gulmarg Gondola in Gulmarg, Kashmir is the second longest and second highest cable car in the world. It is divided into two sections. The first section covers 2 km 300 m and the second section covers 2 km 650 m. What is the total distance covered by the cable car?
Solution:
Total distance = 2 km 300 m + 2 km 650 m
= 4 km 950 m
Question 4.
Circle the bigger length and find the difference.
(a) 11 mm and 1 cm Difference— ________________
(b) 26 mm and 2 cm Difference— ________________
(c) 20 cm and 201 mm Difference— ________________
(d) 1,020 mm and 1m Difference— ________________
(e) 2 m and 245 cm Difference— ________________
(f) 5,678 m and 6 km Difference— ________________
(g) 6 km 1,480m and 7 km 479m Difference— ________________
Solution:
(a) 11 mm. Difference = 1 mm.
(b) 26 mm. Difference = 6 mm.
(c) 201 mm. Difference = 1 mm.
(d) 1,020 mm. Difference = 20 mm.
(e) 245 cm. Difference = 45 cm.
(f) 6 km. Difference = 322 m.
(g) 6 km 1480 m. Difference = 1 m.
Multiplying and Dividing Lengths (Pages 66-67)
Question 2.
A shop sells cloth for making bags at ₹ 100 for 5 m. How much money is needed to buy aim cloth?
If 5 m cloth costs ₹ 100, then aim cloth costs 100 ÷ 5 = ? 20.
Now, use the double number line to find the cost of the cloth or the length of cloth that we can buy at a particular cost.
Solution:
Question 3.
Anita is making an embroidery on the border of a sari. She needs aim long thread to embroider a 50 cm sari. How much thread would she need for a 5 m sari border?
Aim long thread costs ₹ 50. How much money will be needed to buy the thread?
Solution:
She will need 10 m of thread and ₹ 500 to buy it.
Question 4.
A road 12 km 600 m long is being laid in a town. The workers lay an equal length of road each day, and complete the work in 6 days. How much road-laying work is done on each day?
Solution:
2 km 100 m i.e., 2,100 meters each day.