Word Problems: Mapping Your Way | Mathematics for Class 5: NCERT PDF Download

Q1: Use a ruler to measure the distance in cm between the places joined by dotted lines. If the map has been drawn using the scale 1 cm : 10km (1 cm on map = 10 km on ground), find the actual distances between
(i) School and Library
(ii) College and Complex
(iii) House and School

Sol: As per question,
(i) In the given figure, the distance between school and library = 6cm
So, the actual distance = 6 × 10 = 60km
(ii) In the given figure, the distance between college and complex = 2cm
So, the actual distance = 2 × 10 = 20km
(iii) In the given figure, the distance between school and house = 3.5cm

Q2: Ashish is travelling from Hyderabad to Vijayawada. He saw this board on the highway road while starting. How much distance he has to travel from Hyderabad to Vijayawada?

Sol:  To find how much distance he has to travel from Hyderabad to Vijayawada:
Since, Vijayawada  → 284 Km
Therefore, distance from Hyderabad to Vijayawada
= 284 Km

Q3: Ashish is travelling from Hyderabad to Vijayawada. He saw this board on the highway road while starting. Which distance is more - Suryapet to Kodad or Kodad to Vijayawada?

Sol:  To find which distance is more
Since, SURYAPET  → 120 Km
VIJAYAWADA  → 284 Km
KODAD  → 162 Km
Therefore, distance from Suryapet to Kodad can be calculated as
= 162 − 120
= 40 Km
Now, distance from Kodad to Vijayawada can be calculated as
= 284 − 162
= 122 Km
Hence, it is clear that distance from Kodad to Vijayawada ismore than Suryapet to Kodad.

Q4: The distance between school and house of a girl is given by 5 cm in a picture, using the scale 1cm= 5 km.( 1 cm on map = 5 km on ground) Find the actual distance between the two places?

Sol:  Given
The scale 1cm : 5km
So, 5cm in picture = 5 x 5 km of actual distance
= 25km of actual distance
Therefore, the actual distance among two places = 25km
Now, we can say that 5cm shows = 25km of actual distance.

Q5: In the map of India, the distance between two cities is 13.8cm. Taking scale : 1cm = 12km, ( 1 cm on map = 12 km on ground ) find the actual distance between these two cities.

Sol:  It is given that
Scale for a map is 1cm = 12km
We know that
Distance between two cities on the map = 13.8cm
So the actual distance between these two cities = 12 × 13.8 = 165.6km