ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Similarity
Question 1
1.
    • In the given figure, the two circles touch each other internally.
    • Diameter
    • OB
    • passes through the centre of the smaller circle.
    • OX = 10 cm
    • ,
    • OY = 24 cm
    • and radius of the inner circle is
    • 6.1 cm
    • .
    • Find the radius of the outer circle.
  • 16.64 cm
  • 12.64 cm
  • 14.64 cm
  • 15.64 cm
  • 13.64 cm
Question 2
2.
From the given figure and values, find x
  • (
    62
    ,
    -26
    )
  • (
    60
    ,
    -27
    )
  • (
    60
    ,
    -26
    )
  • (
    61
    ,
    -25
    )
  • (
    -24
    ,
    62
    )
Question 3
3.
In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 20 cm. Find AP
  • 8.00 cm
  • 6.00 cm
  • 10.00 cm
  • 7.00 cm
  • 9.00 cm
Question 4
4.
    • In the given figure, △EFG and △PQR are such that
    • ∠F
    • =
    • ∠Q
    •  
    • and
    •  
    • ∠G
    • =
    • ∠R
    • .
    • Identify the property by which the two triangles are similar
  • AAA Similarity
  • SAS Similarity
  • not similar
  • SSS Similarity
Question 5
5.
Which of the following are true?
a)
If two figures are congruent, then they are similar too.
b)
Similar and congruent are not synonymous.
c)
Similar figures have same area.
d)
Congruent figures have same area.
e)
If two figures are similar, then they are congruent too.
  • {c,a,b}
  • {c,a}
  • {a,b,d}
  • {e,b}
  • {c,e,d}
Question 6
6.
A model of building is made with a scale factor of 1 : 60. Find the actual height of the building if the height of the model is 6 cm.
  • 1.60 m
  • 2.60 m
  • 4.60 m
  • 3.60 m
  • 5.60 m
Question 7
7.
In the given figure, ∠LIJ = 51.52°, find the value of x =
  • 38.48°
  • 39.48°
  • 36.48°
  • 37.48°
  • 40.48°
Question 8
8.
    • In the given figure,
    •  
    • FG
    • ∥
    • DE
    • .
    • If
    •  
    • CF
      FD
    • =
    • 1
      1
    • and
    • CE
    • =
    • 10.1 cm
    • , find
    • CG
  • 3.05 cm
  • 4.05 cm
  • 7.05 cm
  • 6.05 cm
  • 5.05 cm
Question 9
9.
Identify the property by which the two given triangles are similar
  • SSS Similarity
  • AAA Similarity
  • SAS Similarity
  • not similar
Question 10
10.
The dimensions of the model of a multi-storey building are 3.5 cm ✕ 1.5 cm ✕ 3 cm. If the model is drawn to a scale of 1 : 200, find the volume of the room in the model whose actual volume is 1000 cu.m.
  • 101.00 cu.cm
  • 125.00 cu.cm
  • 133.00 cu.cm
  • 107.00 cu.cm
  • 151.00 cu.cm