Check NCERT solutions for Class 5 Maths Chapter 8 - Mapping Your Way. All these solutions are prepared by subject experts and can be used as the most reliable source for the preparations of tests and exams. Here, you will get the detailed and appropriate solutions for all questions given in Class 5 Maths NCERT Chapter 8.
NCERT Solutions for Class 5 Maths
Chapter 8: Mapping Your Way
NCERT Page No. 113
1. Here is a photograph taken from a helicopter. You can see Rajpath-the road which joins India Gate to Rashtrapati Bhawan. Mark where on Rajpath will Aditi be.
Match the Map and the Photo
1) Have you seen a map of a city? Look at Map 1. Match it with the photo and find out where India Gate is. Draw it on the map.
2) Some roads are shown in this part of the map. Look for them in the photo.
3) Name roads that you will cross on your way from Rashtrapati Bhawan to India Gate.
4) Look for the National Stadium in Map 1. Can you see it in the photo?
1) Yes, I have seen a map of a city. After matching the map with the photo, we can find the position of India Gate as shown below.
2) The roads shown in the map are clearly visible in the photo.
3) The roads which I will cross on my way from Rashtrapati Bhavan to India Gate are:
Rafi Marg, Janpath and Man Singh Road.
4) The National Stadium is seen in Map 1, but cannot be seen in the photo.
2. The Central Hexagon
If we ‘zoom in’ to look more closely at one part of the map, it looks like this.
Look at the shape of the yellow area. Have you seen this shape before? How many sides does it have?
This place is called the Central Hexagon.
Yes I have seen this shape before. It is a hexagon. It has 6 sides.
Find out from the map
1) If you are walking on Rajpath then after India Gate on which side would Children’s Park be?
2) Which of these roads make the biggest angle between them?
(a) Man Singh Road and Shahjahan Road
(b) Ashoka Road and Man Singh Road Road (the angle away from India Gate)
(c) Janpath and Rajpath
3) Which of the above pairs of roads cut at right angles?
1) The children’s park would be on the right side, when we cross the India Gate, while walking on Rajpath.
2) Correct: (b) Ashoka Road and Man Singh Road make the biggest angle between them.
3) Janpath and Rajpath cut at right angles.
NCERT Page No. 115
Waiting for the Parade
While waiting for the parade, Kancha and some of his friends wonder where this ; parade ends. Kancha is carrying a newspaper in which the route of the parade is written:
Vijay Chowk — Rajpath — India Gate — Tilak Marg — B. S. Zafar Marg — Subhash Marg — Red Fort
The children look at this map to see the parade route.
NCERT Textbook Page 116
Mark the Route
1) Trace the route of the parade in Map 3 and mark India Gate and Rajpath.
The route of the parade has been traced below with pink colour. The Rajpath and India Gate have been marked on the map as shown below:
2) Look at the map carefully and find out:
(a) Which of these is the longest road?
• B.S. Zafar Marg • Subhash Marg • Tilak Marg
(b) If Rubia is coming from Jama Masjid to join the parade, guess about how far she will have to walk.
(c) The total route of the parade is about how long?
• 3 km • 16 km • 25 km • 8 km
(a) Subhash Marg is the longest road.
(b) Jama Masjid is 1 cm away from the Subhash Marg which is the route of the parade.
Now Scale is: 2 cm = 1 km = 1000m
So 1 cm = 1000/2 = 500m
Thus, Rubia will have to walk about 500 m to join the parade.
(c) Total distance of the route of parade in the map is 16 cm.
We know that, 2 cm on map = 1 km
Or 1 am = 0.5 km
∴ 16 cm = 16 × 0.5 = 8 km
So, Total distance of the route of parade = 8 km.
NCERT Page No. 118
Trip to Red Fort
Find out from Map 4
(a) Which of these is nearer to river Yamuna? — the Diwan-e-Aam or the Diwan-e-Khaas?
(b) Between which two buildings is Aaram Gah?
(c) Which buildings do you pass while going from Rang Mahal to the Hammam?
(d) Which building on this map is farthest from Meena Bazar?
(e) About how far is Lahori Gate from Diwan-e-Khaas?
(a) Diwan-e-Khas is nearer to river Yamuna than Diwan-e-Aam.
(b) Aaram Gah is between Diwan-e-Khas and Rang Mahal.
(c) While going from Rang Mahal to Hammam we pass through Aram Gah and Diwan-e-Khas.
(d) Hammam is farthest from Meena Bazar.
(e) Distance of Lahori Gate from Diwan-e-Khas is about 6 cm on map.
Now Scale: 1 cm = 100 m
So, total distance of Lahori Gate from Diwan-e-Khas = 6 ×100 = 600 m
NCERT Page No. 119
1. Here are some pictures drawn on a 1 cm square grid. Try making the same pictures on a 2 cm grid and also on a 1/2 cm grid. One picture is already done. The side of the square was made two times bigger. Does its area also become two times bigger?
The area of square = side x side = side2
When sides are doubled then
New area of square = 2 x Side x 2 x Side = 4 x side2
So, when the side of the square is made 2 times bigger, then its area becomes 4 times bigger than the original area.
NCERT Page No. 120
Now Try This
This is a part of the parade-route Map 3.
1) Can you see which part of the rout-map it is?
2) Now try to make it bigger in this 2 cm grid. Remember that the ‘shape’ of the map should not change.
3) If the parade route map is smaller, and the distance between India Gate and Vijay Chowk becomes 2 cm, what would be its scale?
- 1 cm on map = 1 km on ground
- 12cm on map = 1 km on ground
- 2 cm on map = 1 km on ground
1) Given part of the parade map is marked below:
2) Given part of map can be drawn on a 2 cm grid as shown below:
3) The distance between Vijay chowk and India gate on the map = 4 cm
Here Scale is as 2 cm = 1 km
If the distance between Vijay chowk and India gate becomes 2 cm, then the scale will be
1 cm on map = 1 km on ground
NCERT Page No. 121
1. Look at the map of India below and find the states these children are talking about. Answer the questions:
1) The Karnataka team starts from Bangalore and moves in the north direction. Which state does it cross to reach Delhi?
Answer. The team will cross following states from Bangalore to Delhi:
Maharashtra, Madhya Pradesh and Uttar Pradesh
2) Jammu and Kashmir is to the north of Delhi so the team from there, travels towards south to reach Delhi. Which states does it cross?
Answer. The team will cross following states from Jammu and Kashmir to Delhi:
Himachal Pradesh, Punjab and Haryana
3) Nonu lives in Gujarat. Nonu’s friend Javed lives in West Bengal. Nonu wants to visit his friend. In which direction will he travel?
(a) Towards west
(b) Towards east
(c) Towards south
(d) Towards north
Answer. (b) Towards east
4) If 1 cm on the map shows 200 km on the ground, use this scale to find out:
(A) About how far is Delhi from Jaipur?
(a) 50 km (b) 500 km (c) 250 km
(B) Estimate, how far is Jaipur from Bhopal?
On the map = _______ cm.
On the ground = _______ km.
(A) (c) 250 km
Distance between Delhi and Jaipur on map is about 1.2 cm.
Here scale is: 1 cm = 200 km
So distance between Delhi and Jaipur on ground = 1.2 × 200 km = 240 km
(B) On map the distance between Bhopal and Jaipur is about 2.4 cm.
And Scale is 1 cm = 200 km
So, the distance between Bhopal and Jaipur on ground = 2.4 × 200 km = 480 km
Thus, On the map = 2.4 cm.
On the ground = 480 km.
5) Look at the map and tell:
(a) Which state is surrounded by four other states?
(b) Which state has the largest area? If its name is not in the map, find it from your teacher or parents. Explain how you got your answer.
(c) Which state is about 8 times bigger in area than Sikkim?
- Uttar Pradesh
- Himachal Pradesh
(d) About how many times of Punjab is the area of Rajasthan?
Answer. (a) Himachal Pradesh is surrounded by four other states.
(b) Rajasthan has the largest area. I got from the map by checking the number of grids covered by it in comparison to other big states.
(c) Himachal Pradesh is about 8 times bigger in area than that of Sikkim.
(d) The area of Rajasthan is 10 times larger than that of Punjab.
NCERT Page No. 123
Bala is standing on the sea-coast and looking at the vast sea. The sea looks endless.
Have you seen the sea?
In the picture where is the sea?
Now look for the sea in the map of India. What colour is used to show the sea?
- Mark those states which have the sea on one side.
- Name one state which does not have the sea on any side.
Yes, I have seen the sea.
In picture the sea is in front of Bala.
Blue colour is used to show the sea on map.
- The states which have sea on one side are: Gujarat, Maharashtra, Goa, Kerala, Tamil Nadu, Andhra Pradesh, Karnataka, West Bengal and Orissa.
- The state which does not have sea on any side is Haryana.
Page No 124
Distances between Towns
These are five towns. Find out:
1) How many cm away is Idlipur from barfinagar on the map?
2) How many kilometres will you have to travel if you go from Idlipur to Barfinagar?
3) There is a place called Thukpagram midway between Idlipur and Barfinagar. Mark it with a ‘T’.
4) A town called Jalebipur is 35 kms away from both Chholaghat and Dhoklabad. Where do you think it can be? Mark ‘J’ for it.
5) Measure the length of the route between Bhelpur and Chholaghat. (You can use a thread)
1) Idlipur is about 5 am away from Barfinagar on the map.
2) Distance between Idlipur and Barfinagar on the map = 5 cm
Now, scale is 1 cm = 10 km
Thus, Distance between Idlipur and Barfinagar on ground = 5 × 10 = 50 km
Thus, we have to travel 50 km if we go from Idlipur to Barfinagar.
3) The place Thukpagram which is located midway between Idlipur and Barfinagar is marked with T as shown below:
4) Jalebipur is 35 km away from both Chholaghat and Dhoklabad.
Here the scale is 1 cm = 10 km
Or 10 km = 1 cm
Or 1 km = 1/10 = 0.1 cm
Thus, Distance of jalebipur from both Chholaghat and Dhoklabad on map = 0.1 × 35 = 3.5 cm
So we can mark Jalebipur at a distance of 3.5 cm from both Chholaghat and Dhoklabad as shown below:
5) Distance between Bhelpur and Chholaghat on map is about 6 cm.
Here, the scale is 1 cm = 10 km
So, distance between Bhelpur and Chholaghat on ground = 6 × 10 = 60 km
NCERT Page No. 125
Ashi’s school looks like this from the top.
Use the squares to find out:
1) How many times bigger is the area of the Assembly ground than that of the office?
The assembly ground covers 15 complete squares and office covers 3 complete squares.
Thus, the area of the Assembly ground is 5 times that of the office.
2) How much is the length and width of each classroom?
(a) length 5 m, width 4 m
(b) length 2 m, width 1 m
(c) length 12 m, width 10 m
(d) length 5 m, width 5 m
(a) length 5 m, width 4 m
Here, the scale is 2 cm = 5 m
Or 1cm = 5/2 = 2.5 m
Length of a classroom on map = 2 cm
Thus, length of classroom on ground = 5 m
Breadth of a classroom on map = 1.6 cm
Thus, breadth of classroom on ground = 1.6 × 2.5 = 4 m
3) All the classrooms in Ashi’s school look like this.
Look carefully and answer.
(a) Which of these is exactly opposite to the blackboard?
Almirah, windows, notice board, display board
(b) Now look at the school-map again. Guess and mark where would these be:
- Blackboard in III A and VII
- Almirah in IV and X
- Notice board in V and VI B
- Last seat of middle-row in II
- Display board in I.
(c) Can a child sitting in III A see the playground?
(a) Display board is exactly opposite to the blackboard.
(b) Given things are located in classrooms as follows:
(c) No, a child sitting in III A cannot see the playground.
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