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4 questions · timed · auto-graded

Question 12 Marks
The scale of a map is $1 : 200000$. A plot of land of area $20km^2$​​​​​​​ is to be represented on the map. Find
The area on the map that represents the plot of land.
Answer
$4 km ^2$ is represented by $km ^2$
$1 km ^2$ is represented by $\frac{1}{4} cm ^2$
$20 km ^2$ is represented by $\frac{1}{4} \times 20 cm ^2=5 cm ^2$
Area on map that represents the plot of land $=5 cm ^2$
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Question 22 Marks
The scale of a map is $1 : 200000$. A plot of land of area $20km^2$​​​​​​​ is to be represented on the map. Find:
The number of kilometres on the ground represented by lcm or the map
Answer
Scale:-$1 200000$
$\therefore 1 cm$ represents $200000 cm =\frac{200000}{1000 \times 100}=2 km$
$1 cm$ represents $2 km$.
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Question 32 Marks
The length of a river in a map is 54cm. if lcm on the map represents 12500m on land, find the length of the river.
Answer
1 cm on map represents 12500 m on land
1 cm represents 12.5km on land
Length of river on map = 54 cm
Actual length of the river = 54 x 12.5 = 675.000 km = 675 km
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Question 42 Marks
A model of a ship is made with a scale factor of 1 : 500. Find
The length of the ship, if the model length is 60 cm.
Answer
Scale:- $1: 500$
$1 cm$ represents $500 cm =\frac{500}{100}=5 m$
$1 cm$ represents $5 m$
Actual length of ship $=60 \times 5 m =300 m$
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[2 Mark Question Answer] - Mathematics STD 10 Questions - Vidyadip