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 ratio of the bases of two triangles ABC and DEF is
    • 4
      		:
      3
    • .
    • If the triangles are equal in area, then the ratio of their heights is
  • 4
    		:
    0
  • 5
    		:
    3
  • 3
    		:
    3
  • 4
    		:
    5
  • 3
    		:
    4
Question 2
2.
Which of the following are true?
a)
Any two triangles are similar.
b)
Any two triangles are congruent.
c)
Any two squares are similar.
d)
Any two circles are congruent.
e)
Any two circles are similar.
f)
Any two squares are congruent.
  • {b,e}
  • {a,c}
  • {c,e}
  • {a,e,c}
  • {d,f,c}
Question 3
3.
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.
  • {c,d}
  • {b,c,a}
  • {a,d}
  • {b,d,a}
  • {b,a}
Question 4
4.
Which of the following are true?
a)
Any two triangles are similar if the corresponding sides are proportional.
b)
Any two quadrilaterals are similar if the corresponding angles are equal.
c)
Any two quadrilaterals are similar if the corresponding sides are proportional.
d)
Any two triangles are similar if the corresponding angles are equal.
  • {b,a,c}
  • {b,d}
  • {b,c}
  • {b,a}
  • {a,c,d}
Question 5
5.
Which of the following are true?
a)
A polygonal region can be divided into a finite number of triangles in a unique way.
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)
Area of the union of two polygonal region is the sum of the individual area.
  • {d,c}
  • {a,c,b}
  • {a,b}
  • {b,c}
  • {a,d,b}
Question 6
6.
A model of a ship is made to a scale of 1 : 100. If the area of the deck of the model ship is 100 sq.m, calculate the area of the deck of the ship.
  • 820000.00 sq.m
  • 1060000.00 sq.m
  • 1280000.00 sq.m
  • 1000000.00 sq.m
  • 950000.00 sq.m
Question 7
7.
△ABC is a triangle with sides BC = 15 cm, CA = 11 cm and AB = 13 cm.  △ABC is enlarged to △A'B'C' such that the smallest side of △A'B'C' is 88 cm. Find the scale factor.
  • 6
  • 9
  • 10
  • 7
  • 8
Question 8
8.
The measurements of a triangular field △ABC are BC = 15 cm, AB = 10 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 16000. Calculate the actual area of the plot in sq.km.
  • 9.92 sq.km
  • 0.92 sq.km
  • 2.92 sq.km
  • 1.92 sq.km
  • 3.92 sq.km
Question 9
9.
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 13824000 cu.cm.
  • 65.00 cu.cm
  • 66.00 cu.cm
  • 64.00 cu.cm
  • 63.00 cu.cm
  • 62.00 cu.cm
Question 10
10.
A rectangle having an area 240.00 sq.cm is reduced such that the area of its image is 4.70 sq.cm. Find the scale factor.
  • 7.14
  • 0.14
  • 2.14
  • 8.14
  • 1.14