ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Similarity
Question 1
1.
A model of a ship is made to a scale of 1 : 155. If the volume of the model ship is 1000 cu.m, calculate the volume of the ship.
  • 3723875000.00 cu.m
  • 3553875000.00 cu.m
  • 3863875000.00 cu.m
  • 3843875000.00 cu.m
  • 3603875000.00 cu.m
Question 2
2.
    • In the given figure, △BCD ∼ △PQR and BC = 10 cm, PQ = 14 cm.
    • If the area of the
    • △BCD
    • =
    • 60 sq.cm
    • , find the area of the
    • △PQR
  • 117.60 sq.cm
  • 116.60 sq.cm
  • 119.60 sq.cm
  • 118.60 sq.cm
  • 115.60 sq.cm
Question 3
3.
In the given figure, △PQR is isosceles right-angled at Q and QS ⟂ RP. ∠PQR =
  • ∠QSP
  • ∠SPQ
  • ∠SQR
  • ∠PQS
  • ∠QRS
Question 4
4.
Which of the following are true?
a)
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)
Area of the union of two polygonal region is the sum of the individual area.
c)
A polygonal region can be divided into a finite number of triangles in a unique way.
d)
Area of the union of two polygonal region is not equal to the sum of the individual area.
  • {b,d,a}
  • {b,c,a}
  • {a,d}
  • {b,a}
  • {c,d}
Question 5
5.
A triangle having an area 38.94 sq.cm is enlarged such that the area of its image is 350.42 sq.cm. Find the scale factor.
  • 1
  • 5
  • 2
  • 4
  • 3
Question 6
6.
If the measures are as shown in the given figure, find  EF
  • 21.0 cm
  • 24.0 cm
  • 23.0 cm
  • 20.0 cm
  • 22.0 cm
Question 7
7.
From the given figure and values, find x
  • (
    55
    ,
    -27
    )
  • (
    55
    ,
    -28
    )
  • (
    56
    ,
    -26
    )
  • (
    -25
    ,
    57
    )
  • (
    58
    ,
    -27
    )
Question 8
8.
    • A vertical stick
    • 12 m
    • long casts a shadow of
    • 13 m
    • long on the ground.
    • At the same time, a tower casts the shadow
    • 104 m
    • long on the ground.
    • Find the height of the tower.
  • 95 m
  • 94 m
  • 96 m
  • 97 m
  • 98 m
Question 9
9.
In the given figure, △BCD is right-angled at C. Also, CE ⟂ BD. If  BE = 12.8 cm, ED = 9.9 cm, then find CE.
  • 10.26 cm
  • 9.26 cm
  • 13.26 cm
  • 11.26 cm
  • 12.26 cm
Question 10
10.
    • In the given figure, GI is the angular bisector of
    • ∠G
    • &
    • ∠I
    • FG
    • =
    • 20 cm
    • ,
    • GH
    • =
    • 20 cm
    • and
    • HI
    • =
    • 19 cm
    • .
    • Find
    • IF
  • 17.00 cm
  • 20.00 cm
  • 19.00 cm
  • 21.00 cm
  • 18.00 cm