ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Similarity (As a Size Transformation)
Question 1
1.
AB = 17.00 cm, BC = 16.00 cm are the measurements of a rectangular field of land ABCD on a map drawn to a scale of 1 : 7000. Calculate the diagonal distance of the field.
  • 1.63 km
  • 2.63 km
  • 3.63 km
  • 9.63 km
  • 0.63 km
Question 2
2.
Which of the following are necessary conditions for similarity of two polygons ?
a)
The corresponding angles are equal.
b)
The corresponding sides are equal.
c)
The corresponding angles are proportional.
d)
The corresponding sides are proportional.
  • {b,c,a}
  • {c,d}
  • {b,d,a}
  • {b,a}
  • {a,d}
Question 3
3.
The dimensions of the model of a multi-storey building are 4.5 cm ✕ 3.5 cm ✕ 4.5 cm. If the model is drawn to a scale of 1 : 70, find the actual dimensions of the building.
  • 315 cm ✕ 245 cm ✕ 316 cm
  • 316 cm ✕ 246 cm ✕ 315 cm
  • 316 cm ✕ 245 cm ✕ 315 cm
  • 315 cm ✕ 245 cm ✕ 315 cm
  • 315 cm ✕ 246 cm ✕ 315 cm
Question 4
4.
A rectangle having an area 380.00 sq.cm is reduced such that the area of its image is 123.46 sq.cm. Find the scale factor.
  • 8.57
  • 0.57
  • 2.57
  • 7.57
  • 1.57
Question 5
5.
A model of building is made with a scale factor of 1 : 60. Find the volume of the tank on the top of the model if its actual volume is 157464000 cu.cm.
  • 730.00 cu.cm
  • 727.00 cu.cm
  • 731.00 cu.cm
  • 729.00 cu.cm
  • 728.00 cu.cm
Question 6
6.
△ABC is a triangle with sides BC = 13 cm, CA = 14 cm and AB = 12 cm.  △ABC is enlarged to △A'B'C' such that the smallest side of △A'B'C' is 24 cm. Find the scale factor.
  • 5
  • 1
  • -1
  • 3
  • 2
Question 7
7.
The measurements of a triangular field △ABC are BC = 6 cm, AB = 11 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 22000. Calculate the actual area of the plot in sq.km.
  • 2.60 sq.km
  • 1.60 sq.km
  • 3.60 sq.km
  • 9.60 sq.km
  • 0.60 sq.km
Question 8
8.
A rectangle having an area 140.00 sq.cm is reduced by a scale factor of 0.83. Find the area of its image.
  • 101.45 sq.cm
  • 99.45 sq.cm
  • 91.45 sq.cm
  • 96.45 sq.cm
  • 93.45 sq.cm
Question 9
9.
A triangle having an area 30.59 sq.cm is reduced such that the area of its image is 11.01 sq.cm. Find the scale factor.
  • 7.6
  • 8.6
  • 2.6
  • 1.6
  • 0.6
Question 10
10.
Which of the following are true?
a)
Similarity is anti symmetric.
b)
Similarity is transitive.
c)
Similarity is symmetric.
d)
Similarity is reflexive.
  • {b,c,d}
  • {a,c}
  • {a,b,c}
  • {a,d}
  • {a,b}