ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Similarity
Question 1
1.
Which of the following are true?
a)
Area of the union of two polygonal region is the sum of the individual area.
b)
Area of a convex polygonal region is equal to the sum of the areas of all triangles formed by joining the vertices of the polygon with an interior point.
c)
Area of the union of two polygonal region is not equal to the sum of the individual area.
d)
A polygonal region can be divided into a finite number of triangles in a unique way.
  • {a,d,b}
  • {a,b}
  • {a,c,b}
  • {b,c}
  • {d,c}
Question 2
2.
IJKL is a cyclic trapezium. Diagonals JL and IK intersect at M. If LI = 18 cm, find JK
  • 17 cm
  • 16 cm
  • 20 cm
  • 18 cm
  • 19 cm
Question 3
3.
The dimensions of the model of a multi-storey building are 9.5 cm ✕ 6.5 cm ✕ 10 cm. If the model is drawn to a scale of 1 : 110, find the actual dimensions of the building.
  • 1045 cm ✕ 715 cm ✕ 1100 cm
  • 1045 cm ✕ 715 cm ✕ 1101 cm
  • 1045 cm ✕ 716 cm ✕ 1100 cm
  • 1046 cm ✕ 716 cm ✕ 1100 cm
  • 1046 cm ✕ 715 cm ✕ 1100 cm
Question 4
4.
In the given △GHI, JK ∥ HI. If  GJ : JH = 8.18 cm : 9.82 cm  and  GI = 20 cm, KI =
  • 9.91 cm
  • 8.91 cm
  • 10.91 cm
  • 12.91 cm
  • 11.91 cm
Question 5
5.
A rectangle having an area 340.00 sq.cm is enlarged by a scale factor of 3.00. Find the area of its image.
  • 2930.00 sq.cm
  • 3190.00 sq.cm
  • 3060.00 sq.cm
  • 3020.00 sq.cm
  • 3280.00 sq.cm
Question 6
6.
A model of building is made with a scale factor of 1 : 100. Find the volume of the tank on the top of the model if its actual volume is 15625000 cu.cm.
  • 17.62 cu.cm
  • 15.62 cu.cm
  • 16.62 cu.cm
  • 14.62 cu.cm
  • 13.62 cu.cm
Question 7
7.
    • A vertical stick
    • 12 m
    • long casts a shadow of
    • 11 m
    • long on the ground.
    • At the same time, a tower casts the shadow
    • 88 m
    • long on the ground.
    • Find the height of the tower.
  • 94 m
  • 98 m
  • 96 m
  • 97 m
  • 95 m
Question 8
8.
In the given two similar triangles, if e = 16 cm, f = 20 cm, g = 16 cm, j = 9.6 cm, find h
  • 10.60 cm
  • 7.60 cm
  • 8.60 cm
  • 11.60 cm
  • 9.60 cm
Question 9
9.
Identify the property by which the two given triangles are similar
  • SSS Similarity
  • SAS Similarity
  • AAA Similarity
  • not similar
Question 10
10.
The measurements of a triangular field △ABC are BC = 15 cm, AB = 12 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 20000. Calculate the actual area of the plot in sq.km.
  • 4.60 sq.km
  • 1.60 sq.km
  • 3.60 sq.km
  • 5.60 sq.km
  • 2.60 sq.km