ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Angle Properties of a Circle
Question 1
1.
If two circles of radii 13 cm and 4 cm touch internally, the distance between their centres is
  • 10 cm
  • 8 cm
  • 9 cm
  • 11 cm
  • 7 cm
Question 2
2.
Which of the following statements are true?
a)
If a kite is cyclic, it is a square.
b)
If a parallelogram is cyclic, it is a rectangle.
c)
If a trapezium is cyclic, it is a rectangle.
d)
If a rhombus is cyclic, it is a square.
e)
A cyclic quadrilateral is a regular polygon.
  • {b,d}
  • {a,b}
  • {c,d}
  • {c,d,b}
  • {e,a,b}
Question 3
3.
In the given figure, FG is a side of regular 8-sided polygon and FH is a side of regular 5-sided polygon inscribed in a circle with centre O. Find ∠FGH
  • 46°
  • 41°
  • 66°
  • 36°
  • 51°
Question 4
4.
Circles having common centre are called
  • intersecting circles
  • concentric circles
  • similar circles
  • congruent circles
Question 5
5.
In the given figure, find the angles of the quadrilateral.
      • E
      • =
      • 89°
      • ,
      • F
      • =
      • 90°
      • ,
      • G
      • =
      • 91°
      • ,
      • H
      • =
      • 90°
      • E
      • =
      • 92°
      • ,
      • F
      • =
      • 90°
      • ,
      • G
      • =
      • 88°
      • ,
      • H
      • =
      • 90°
      • E
      • =
      • 88°
      • ,
      • F
      • =
      • 90°
      • ,
      • G
      • =
      • 92°
      • ,
      • H
      • =
      • 90°
      • E
      • =
      • 91°
      • ,
      • F
      • =
      • 90°
      • ,
      • G
      • =
      • 89°
      • ,
      • H
      • =
      • 90°
      • E
      • =
      • 90°
      • ,
      • F
      • =
      • 90°
      • ,
      • G
      • =
      • 90°
      • ,
      • H
      • =
      • 90°
Question 6
6.
In the given figure, O is the centre of the circle. If ∠BAC = 46° and ∠ACD = 36°, find ∠CED
  • 108°
  • 98°
  • 113°
  • 103°
  • 128°
Question 7
7.
In the given figure, O is the centre of the circle. If ∠IGH = 58°, find reflex ∠HOF
  • 249°
  • 254°
  • 259°
  • 244°
  • 274°
Question 8
8.
Which of the following statements are true?
a)
Atmost one chord can be drawn on a circle with a certain length.
b)
A chord divides a circle into two segments.
c)
The radius is the shortest chord.
d)
A chord divides a circle into two sectors.
e)
The diameter is the longest chord.
  • {d,a,b}
  • {a,b}
  • {c,e}
  • {b,e}
  • {c,e,b}
Question 9
9.
In the given figure AC & BC are equal length chords of the circle. Find ∠CAB
  • 55°
  • 60°
  • 45°
  • 50°
  • 75°
Question 10
10.
O is the centre of the circle. If ∠IKJ = 30° and ∠KIL = 36°, find u°, v°
  • 64°, 71°
  • 61°, 54°
  • 84°, 81°
  • 54°, 61°
  • 44°, 61°