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 140.00 sq.cm is reduced by a scale factor of 0.20. Find the area of its image.
  • 6.60 sq.cm
  • 5.60 sq.cm
  • 7.60 sq.cm
  • 4.60 sq.cm
  • 3.60 sq.cm
Question 2
2.
The dimensions of the model of a multi-storey building are 7.5 cm ✕ 1.5 cm ✕ 9 cm. If the model is drawn to a scale of 1 : 185, find the volume of the room in the model whose actual volume is 31107.2736 cu.m.
  • 5043.00 cu.cm
  • 5163.00 cu.cm
  • 4913.00 cu.cm
  • 4693.00 cu.cm
  • 4853.00 cu.cm
Question 3
3.
The measurements of a triangular field △ABC are BC = 12 cm, AB = 6 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 20000. Calculate the actual length of CA in km.
  • 0.68 km
  • 3.68 km
  • 1.68 km
  • 4.68 km
  • 2.68 km
Question 4
4.
Which of the following are true?
a)
A circle is a polygonal region.
b)
A square is a polygonal region.
c)
A triangle is a polygonal region.
d)
A sector is a polygonal region.
e)
A semi-circle is a polygonal region.
  • {a,b}
  • {e,a,b}
  • {d,c}
  • {d,c,b}
  • {b,c}
Question 5
5.
A model of a ship is made to a scale of 1 : 155. If the volume of the model ship is 27 cu.m, calculate the volume of the ship.
  • 92544625.00 cu.m
  • 113544625.00 cu.m
  • 100544625.00 cu.m
  • 118544625.00 cu.m
  • 86544625.00 cu.m
Question 6
6.
A rectangle having an area 252.00 sq.cm is reduced such that the area of its image is 27.44 sq.cm. Find the scale factor.
  • 8.33
  • 2.33
  • 1.33
  • 7.33
  • 0.33
Question 7
7.
A model of building is made with a scale factor of 1 : 40. Find the actual height of the building if the height of the model is 3 cm.
  • 0.20 m
  • 1.20 m
  • 3.20 m
  • 9.20 m
  • 2.20 m
Question 8
8.
The dimensions of the model of a multi-storey building are 6.5 cm ✕ 3 cm ✕ 4.5 cm. If the model is drawn to a scale of 1 : 175, find the floor area of a room of the building whose area in the model is 196 sq.cm.
  • 588.25 sq.m
  • 600.25 sq.m
  • 583.25 sq.m
  • 607.25 sq.m
  • 615.25 sq.m
Question 9
9.
Which of the following are necessary conditions for similarity of two polygons ?
a)
The corresponding angles are proportional.
b)
The corresponding angles are equal.
c)
The corresponding sides are equal.
d)
The corresponding sides are proportional.
  • {a,c,b}
  • {a,b}
  • {b,d}
  • {a,d,b}
  • {c,d}
Question 10
10.
The measurements of a triangular field △ABC are BC = 9 cm, AB = 8 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 20000. Calculate the actual area of the plot in sq.km.
  • 0.44 sq.km
  • 3.44 sq.km
  • 2.44 sq.km
  • 9.44 sq.km
  • 1.44 sq.km