ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Similarity
Question 1
1.
The dimensions of the model of a multi-storey building are 2.5 cm ✕ 5.5 cm ✕ 9 cm. If the model is drawn to a scale of 1 : 100, find the floor area of a room of the building whose area in the model is 324 sq.cm.
  • 342.00 sq.m
  • 309.00 sq.m
  • 318.00 sq.m
  • 340.00 sq.m
  • 324.00 sq.m
Question 2
2.
    • In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
    • Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
    • ∠DAF  =
  • ∠AFD
  • ∠EHF
  • ∠BHA
  • ∠CFA
  • ∠HFE
Question 3
3.
In the given figure, given ∠GDE = ∠FDG, p = 8.27 cm, q = 8.73 cm and EF = 17 cm, find GF =
  • 10.73 cm
  • 7.73 cm
  • 8.73 cm
  • 9.73 cm
  • 6.73 cm
Question 4
4.
A triangle having an area 58.48 sq.cm is reduced by a scale factor of 0.89. Find the area of its image.
  • 41.32 sq.cm
  • 51.32 sq.cm
  • 46.32 sq.cm
  • 43.32 sq.cm
  • 49.32 sq.cm
Question 5
5.
A model of a ship is made to a scale of 1 : 200. If length of the model ship is 13 m, calculate the length of the ship.
  • 2560.00 m
  • 2330.00 m
  • 2600.00 m
  • 2680.00 m
  • 2880.00 m
Question 6
6.
In the given figure, given ∠EBC = ∠DBE, x : y = 7.06 cm : 7.94 cm and p = 16 cm, find q =
  • 20.00 cm
  • 18.00 cm
  • 19.00 cm
  • 16.00 cm
  • 17.00 cm
Question 7
7.
In the given figure, if AB ∥ CD then
  • △ABE ∼ △EDC
  • △EBA ∼ △EDC
  • △ABE ∼ △ECD
  • △EAB ∼ △ECD
  • △ABE ∼ △DCE
Question 8
8.
△ABC is a triangle with sides BC = 12 cm, CA = 11 cm and AB = 10 cm.  △ABC is enlarged to △A'B'C' such that the smallest side of △A'B'C' is 16.67 cm. Find the corresponding lengths of the enlarged triangle △A'B'C'.
  • 22 cm, 20.33 cm, 18.67 cm
  • 18 cm, 16.33 cm, 14.67 cm
  • 19 cm, 17.33 cm, 15.67 cm
  • 20 cm, 18.33 cm, 16.67 cm
  • 21 cm, 19.33 cm, 17.67 cm
Question 9
9.
    • In the given figure, △DEF ∼ △MNO and DE = 12 cm, MN = 16.8 cm.
    • If the area of the
    • △DEF
    • =
    • 65.57 sq.cm
    • , find the area of the
    • △MNO
  • 128.51 sq.cm
  • 129.51 sq.cm
  • 127.51 sq.cm
  • 130.51 sq.cm
  • 126.51 sq.cm
Question 10
10.
A rectangle having an area 323.00 sq.cm is reduced such that the area of its image is 80.75 sq.cm. Find the scale factor.
  • 0.5
  • 1.5
  • 7.5
  • 8.5
  • 2.5