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 rectangle having an area 70.00 sq.cm is enlarged by a scale factor of 1.17. Find the area of its image.
  • 100.82 sq.cm
  • 95.82 sq.cm
  • 90.82 sq.cm
  • 98.82 sq.cm
  • 92.82 sq.cm
Question 2
2.
A model of building is made with a scale factor of 1 : 50. Find the actual height of the building if the height of the model is 3.5 cm.
  • 3.75 m
  • 9.75 m
  • 0.75 m
  • 2.75 m
  • 1.75 m
Question 3
3.
A triangle having an area 29.99 sq.cm is reduced by a scale factor of 0.43. Find the area of its image.
  • 7.55 sq.cm
  • 6.55 sq.cm
  • 4.55 sq.cm
  • 5.55 sq.cm
  • 3.55 sq.cm
Question 4
4.
    • The ratio of the bases of two triangles ABC and DEF is
    • 9
      		:
      10
    • .
    • If the triangles are equal in area, then the ratio of their heights is
  • 8
    		:
    10
  • 9
    		:
    12
  • 10
    		:
    9
  • 9
    		:
    8
  • 10
    		:
    10
Question 5
5.
A model of building is made with a scale factor of 1 : 90. Find the volume of the tank on the top of the model if its actual volume is 157464000 cu.cm.
  • 214.00 cu.cm
  • 218.00 cu.cm
  • 216.00 cu.cm
  • 215.00 cu.cm
  • 217.00 cu.cm
Question 6
6.
Which of the following are true?
a)
Congruent figures have same area.
b)
Similar figures have same area.
c)
Similar and congruent are not synonymous.
d)
If two figures are similar, then they are congruent too.
e)
If two figures are congruent, then they are similar too.
  • {d,c}
  • {a,c,e}
  • {b,d,e}
  • {b,a,c}
  • {b,a}
Question 7
7.
The measurements of a triangular field △ABC are BC = 6 cm, AB = 12 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 15000. Calculate the actual area of the plot in sq.km.
  • 1.81 sq.km
  • 2.81 sq.km
  • 8.81 sq.km
  • 7.81 sq.km
  • 0.81 sq.km
Question 8
8.
The dimensions of the model of a multi-storey building are 2 cm ✕ 7 cm ✕ 5.5 cm. If the model is drawn to a scale of 1 : 150, find the volume of the room in the model whose actual volume is 27 cu.m.
  • 6.00 cu.cm
  • 7.00 cu.cm
  • 10.00 cu.cm
  • 9.00 cu.cm
  • 8.00 cu.cm
Question 9
9.
A rectangle having an area 120.00 sq.cm is reduced such that the area of its image is 67.50 sq.cm. Find the scale factor.
  • 0.75
  • 2.75
  • 7.75
  • 8.75
  • 1.75
Question 10
10.
Which of the following are true?
a)
Area of the union of two polygonal region is not equal to the sum of the individual area.
b)
A polygonal region can be divided into a finite number of triangles in a unique way.
c)
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.
d)
Area of the union of two polygonal region is the sum of the individual area.
  • {d,c}
  • {b,c,a}
  • {b,d,a}
  • {b,a}
  • {a,c}