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 : 115. If the volume of the ship is 1520875000 cu.m, calculate the volume of the model ship.
  • 1000.00 cu.m
  • 880.00 cu.m
  • 730.00 cu.m
  • 1250.00 cu.m
  • 1160.00 cu.m
Question 2
2.
A triangle having an area 51.05 sq.cm is enlarged by a scale factor of 2.50. Find the area of its image.
  • 336.07 sq.cm
  • 319.07 sq.cm
  • 333.07 sq.cm
  • 301.07 sq.cm
  • 306.07 sq.cm
Question 3
3.
A model of a ship is made to a scale of 1 : 185. If the area of the deck of the ship is 7700625 sq.m, calculate the area of the deck of the model ship.
  • 249.00 sq.m
  • 225.00 sq.m
  • 218.00 sq.m
  • 207.00 sq.m
  • 230.00 sq.m
Question 4
4.
    • The ratio of the bases of two triangles ABC and DEF is
    • 3
      		:
      9
    • .
    • If the triangles are equal in area, then the ratio of their heights is
  • 3
    		:
    7
  • 9
    		:
    3
  • 3
    		:
    11
  • 2
    		:
    9
  • 4
    		:
    9
Question 5
5.
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 the union of two polygonal region is the sum of the individual area.
d)
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.
  • {b,c,a}
  • {a,d}
  • {b,d,a}
  • {b,a}
  • {c,d}
Question 6
6.
Which of the following are true?
a)
Similarity is reflexive.
b)
Similarity is anti symmetric.
c)
Similarity is transitive.
d)
Similarity is symmetric.
  • {a,c,d}
  • {b,a,c}
  • {b,c}
  • {b,a}
  • {b,d}
Question 7
7.
The measurements of a triangular field △ABC are BC = 12 cm, AB = 10 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 15000. Calculate the actual area of the plot in sq.km.
  • 2.35 sq.km
  • 1.35 sq.km
  • 3.35 sq.km
  • 0.35 sq.km
  • 9.35 sq.km
Question 8
8.
The dimensions of the model of a multi-storey building are 4 cm ✕ 5 cm ✕ 4 cm. If the model is drawn to a scale of 1 : 55, find the floor area of a room of the building whose area in the model is 196 sq.cm.
  • 59.29 sq.m
  • 56.29 sq.m
  • 54.29 sq.m
  • 64.29 sq.m
  • 62.29 sq.m
Question 9
9.
Which of the following are true?
a)
A square is a polygonal region.
b)
A semi-circle is a polygonal region.
c)
A circle is a polygonal region.
d)
A triangle is a polygonal region.
e)
A sector is a polygonal region.
  • {c,d}
  • {c,d,a}
  • {a,d}
  • {e,b,a}
  • {b,a}
Question 10
10.
Which of the following are true?
a)
Any two quadrilaterals are similar if the corresponding angles are equal.
b)
Any two quadrilaterals are similar if the corresponding sides are proportional.
c)
Any two triangles are similar if the corresponding angles are equal.
d)
Any two triangles are similar if the corresponding sides are proportional.
  • {b,c,d}
  • {a,c}
  • {a,b,c}
  • {a,d}
  • {a,b}