ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Similarity (As a Size Transformation)
Question 1
1.
The measurements of a triangular field △ABC are BC = 13 cm, AB = 8 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 21000. Calculate the actual length of CA in km.
  • 3.21 km
  • 1.21 km
  • 2.21 km
  • 4.21 km
  • 5.21 km
Question 2
2.
A model of building is made with a scale factor of 1 : 40. Find the volume of the tank on the top of the model if its actual volume is 13824000 cu.cm.
  • 217.00 cu.cm
  • 214.00 cu.cm
  • 218.00 cu.cm
  • 216.00 cu.cm
  • 215.00 cu.cm
Question 3
3.
Which of the following are true?
a)
Similarity is symmetric.
b)
Similarity is transitive.
c)
Similarity is anti symmetric.
d)
Similarity is reflexive.
  • {c,b}
  • {a,b,d}
  • {c,a}
  • {c,d}
  • {c,a,b}
Question 4
4.
A triangle having an area 51 sq.cm is reduced by a scale factor of 0.78. Find the area of its image.
  • 36.03 sq.cm
  • 26.03 sq.cm
  • 34.03 sq.cm
  • 28.03 sq.cm
  • 31.03 sq.cm
Question 5
5.
A model of a ship is made to a scale of 1 : 190. If the area of the deck of the model ship is 121 sq.m, calculate the area of the deck of the ship.
  • 4528100.00 sq.m
  • 4288100.00 sq.m
  • 4368100.00 sq.m
  • 4218100.00 sq.m
  • 4548100.00 sq.m
Question 6
6.
△ABC is a triangle with sides BC = 13 cm, CA = 11 cm and AB = 14 cm.  △ABC is enlarged to △A'B'C' such that the smallest side of △A'B'C' is 77 cm. Find the scale factor.
  • 5
  • 8
  • 6
  • 7
  • 10
Question 7
7.
A model of a ship is made to a scale of 1 : 120. If the volume of the model ship is 216 cu.m, calculate the volume of the ship.
  • 373248000.00 cu.m
  • 366248000.00 cu.m
  • 387248000.00 cu.m
  • 346248000.00 cu.m
Question 8
8.
The dimensions of the model of a multi-storey building are 3 cm ✕ 7 cm ✕ 1 cm. If the model is drawn to a scale of 1 : 115, find the actual dimensions of the building.
  • 345 cm ✕ 805 cm ✕ 116 cm
  • 346 cm ✕ 805 cm ✕ 115 cm
  • 345 cm ✕ 805 cm ✕ 115 cm
  • 346 cm ✕ 806 cm ✕ 115 cm
  • 345 cm ✕ 806 cm ✕ 115 cm
Question 9
9.
Which of the following are true?
a)
Any two triangles are congruent.
b)
Any two squares are similar.
c)
Any two triangles are similar.
d)
Any two squares are congruent.
e)
Any two circles are congruent.
f)
Any two circles are similar.
  • {c,f}
  • {a,f,b}
  • {d,e,b}
  • {b,f}
  • {a,b}
Question 10
10.
A rectangle having an area 360.00 sq.cm is reduced by a scale factor of 0.62. Find the area of its image.
  • 140.38 sq.cm
  • 115.38 sq.cm
  • 138.38 sq.cm
  • 122.38 sq.cm
  • 151.38 sq.cm