ICSE Board Practice

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ICSE Grade IX - Similarity
Question 1
1.
From the given figure and values, find x
  • (
    (
    -2
    3
    		 )
    ,
    8
    )
  • (
    0
    ,
    9
    )
  • (
    11
    ,
    1
    3
    )
  • (
    (
    -2
    5
    		 )
    ,
    10
    )
  • (
    (
    -2
    3
    		 )
    ,
    9
    )
Question 2
2.
Which of the following are true?
a)
Any two triangles are similar if the corresponding angles are equal.
b)
Any two quadrilaterals are similar if the corresponding angles are equal.
c)
Any two triangles are similar if the corresponding sides are proportional.
d)
Any two quadrilaterals are similar if the corresponding sides are proportional.
  • {b,d}
  • {b,a}
  • {a,c,d}
  • {b,c}
  • {b,a,c}
Question 3
3.
    • In the given figure, MNOP is a trapezium in which
    • MN ∥ OP
    • and the diagonals
    • NP
    • and
    • MO
    • intersect at
    • Q
    • .
    • If
    •  
    • QM
    • =
    • (
      2
      x
      +
      30
      		)
    • cm,
    • NQ
    • =
    • (
      3
      x
      +
      29
      		)
    • cm,
    • QO
    • =
    • (
      x
      +
      15
      		)
    • cm and
    • PQ
    • =
    • (
      x
      +
      31
      		)
    • cm, find the value of x
  • (
    -13
    ,
    33
    )
  • (
    -15
    ,
    33
    )
  • (
    35
    ,
    -13
    )
  • (
    -15
    ,
    32
    )
  • (
    -14
    ,
    34
    )
Question 4
4.
A triangle having an area 31.42 sq.cm is reduced such that the area of its image is 5.81 sq.cm. Find the scale factor.
  • 1.43
  • 0.43
  • 2.43
  • 8.43
  • 7.43
Question 5
5.
The perimeters of two similar triangles are 33 cm and 24 cm respectively. If one side of the first triangle is 13 cm, find the length of the corresponding side of the second triangle.
  • 10.45 cm
  • 9.45 cm
  • 7.45 cm
  • 11.45 cm
  • 8.45 cm
Question 6
6.
A model of a ship is made to a scale of 1 : 145. If the volume of the model ship is 2197 cu.m, calculate the volume of the ship.
  • 8297829125.00 cu.m
  • 6697829125.00 cu.m
  • 8497829125.00 cu.m
  • 4997829125.00 cu.m
Question 7
7.
△ABC is a triangle with sides BC = 15 cm, CA = 10 cm and AB = 12 cm.  △ABC is enlarged to △A'B'C' such that the smallest side of △A'B'C' is 15 cm. Find the scale factor.
  • 3
    2
  • 3
  • 1
  • 2
Question 8
8.
In the given figure, △FGH is isosceles right-angled at G and GI ⟂ HF. ∠F =
  • ∠H
  • ∠K
  • ∠G
  • ∠I
  • ∠J
Question 9
9.
In the given figure, ∠GHJ = 42.77°, find the value of x =
  • 47.23°
  • 45.23°
  • 48.23°
  • 49.23°
  • 46.23°
Question 10
10.
A triangle having an area 28.57 sq.cm is enlarged by a scale factor of 1.40. Find the area of its image.
  • 58.99 sq.cm
  • 52.99 sq.cm
  • 55.99 sq.cm
  • 50.99 sq.cm
  • 60.99 sq.cm