ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Similarity (As a Size Transformation)
Question 1
1.
A model of a ship is made to a scale of 1 : 145. If length of the model ship is 8 m, calculate the length of the ship.
  • 1180.00 m
  • 1160.00 m
  • 1040.00 m
  • 1310.00 m
  • 900.00 m
Question 2
2.
A model of building is made with a scale factor of 1 : 70. Find the actual height of the building if the height of the model is 2.5 cm.
  • 1.75 m
  • 0.75 m
  • 2.75 m
  • 3.75 m
  • 9.75 m
Question 3
3.
The measurements of a triangular field △ABC are BC = 10 cm, AB = 15 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 16000. Calculate the actual length of CA in km.
  • 1.88 km
  • 2.88 km
  • 0.88 km
  • 3.88 km
  • 4.88 km
Question 4
4.
A rectangle having an area 270.00 sq.cm is reduced by a scale factor of 0.43. Find the area of its image.
  • 54.92 sq.cm
  • 44.92 sq.cm
  • 46.92 sq.cm
  • 49.92 sq.cm
  • 52.92 sq.cm
Question 5
5.
A model of building is made with a scale factor of 1 : 50. Find the volume of the tank on the top of the model if its actual volume is 27000000 cu.cm.
  • 214.00 cu.cm
  • 215.00 cu.cm
  • 216.00 cu.cm
  • 218.00 cu.cm
  • 217.00 cu.cm
Question 6
6.
Which of the following are true?
a)
Any two triangles are similar if the corresponding angles are equal.
b)
Any two triangles are similar if the corresponding sides are proportional.
c)
Any two quadrilaterals are similar if the corresponding angles are equal.
d)
Any two quadrilaterals are similar if the corresponding sides are proportional.
  • {c,d}
  • {c,b}
  • {a,b,d}
  • {c,a,b}
  • {c,a}
Question 7
7.
A triangle having an area 71.5 sq.cm is reduced by a scale factor of 0.50. Find the area of its image.
  • 22.87 sq.cm
  • 17.87 sq.cm
  • 20.87 sq.cm
  • 12.87 sq.cm
  • 14.87 sq.cm
Question 8
8.
A model of a ship is made to a scale of 1 : 165. If the volume of the model ship is 5832 cu.m, calculate the volume of the ship.
  • 26181073000.00 cu.m
  • 26198073000.00 cu.m
  • 26186073000.00 cu.m
  • 26214073000.00 cu.m
Question 9
9.
A rectangle having an area 323.00 sq.cm is reduced such that the area of its image is 116.28 sq.cm. Find the scale factor.
  • 1.6
  • 0.6
  • 7.6
  • 8.6
  • 2.6
Question 10
10.
Which of the following are true?
a)
Similarity is symmetric.
b)
Similarity is anti symmetric.
c)
Similarity is transitive.
d)
Similarity is reflexive.
  • {a,c,d}
  • {b,a,c}
  • {b,a}
  • {b,c}
  • {b,d}