ICSE Board Practice

ICSE Grade X - Angle Properties of a Circle
Question 1
1.
The angle subtended by the diameter at any point on the circle is
  • 95°
  • 120°
  • 105°
  • 90°
  • 100°
Question 2
2.
In the given figure, O is the centre of the circle. If ∠EHF = 82° and ∠EDG = 65°, find ∠DGF
  • 38°
  • 63°
  • 43°
  • 48°
  • 33°
Question 3
3.
In the given figure, chords BD & CE meet at F. Given x = 118° and y = 36°, find ∠CBD
  • 97°
  • 87°
  • 92°
  • 82°
  • 112°
Question 4
4.
In the given figure, find the angles of the quadrilateral.
      • D
      • =
      • 76°
      • ,
      • E
      • =
      • 90°
      • ,
      • F
      • =
      • 104°
      • ,
      • G
      • =
      • 90°
      • D
      • =
      • 73°
      • ,
      • E
      • =
      • 90°
      • ,
      • F
      • =
      • 107°
      • ,
      • G
      • =
      • 90°
      • D
      • =
      • 75°
      • ,
      • E
      • =
      • 90°
      • ,
      • F
      • =
      • 105°
      • ,
      • G
      • =
      • 90°
      • D
      • =
      • 74°
      • ,
      • E
      • =
      • 90°
      • ,
      • F
      • =
      • 106°
      • ,
      • G
      • =
      • 90°
      • D
      • =
      • 77°
      • ,
      • E
      • =
      • 90°
      • ,
      • F
      • =
      • 103°
      • ,
      • G
      • =
      • 90°
Question 5
5.
In the given figure, ∠OEB = 45° & ∠DCB = 40°, find ∠OFE
  • 40°
  • 25°
  • 35°
  • 30°
  • 55°
Question 6
6.
In the given figure, O is the centre of the circle . If ∠GJH = 74° and ∠GFI = 67°, find ∠FKG
  • 28°
  • 43°
  • 38°
  • 33°
  • 58°
Question 7
7.
    • O is the centre of the circle.
    • If
    • ∠F
    • +
    • ∠GOH = 115.5°
    • ,
    • find
    • ∠GOH
  • 77°
  • 92°
  • 107°
  • 82°
  • 87°
Question 8
8.
In the given figure, O is the centre of the circle and EH is a diameter. If ∠GHD = 95° and ∠DEH = 60°, find ∠EFG
  • 125°
  • 120°
  • 145°
  • 130°
  • 115°
Question 9
9.
In the given figure, O is the centre of the circle. If ∠CDO = 26° and ∠OFC = 24°, find ∠DEF
  • 130°
  • 140°
  • 135°
  • 145°
  • 160°
Question 10
10.
Which of the following statements are true?
a)
Angle subtended in the major segment is obtuse.
b)
Angle subtended by the major arc in its alternate segment is obtuse.
c)
If two chords are equal, then they are equidistant from the centre of the circle.
d)
Angle subtended by the major arc at the centre is acute.
e)
The angle subtended in a semicircle is a right angle.
  • {a,b}
  • {a,b,c}
  • {d,c}
  • {b,c,e}
  • {a,d,e}