ICSE Board Practice

ICSE Grade VII - Circles
Question 1
1.
Which of the following statements are true?
a)
Every circle has a unique diameter.
b)
One and only one tangent can be drawn to pass through a point on a circle.
c)
Diameter of a circle is a part of the semi-circle of the circle.
d)
One and only one tangent can be drawn to a circle from a point outside it.
e)
A secant of a circle is a segment having its end points on the circle.
  • {b,c}
  • {d,c,b}
  • {e,a,b}
  • {a,b}
  • {d,c}
Question 2
2.
The distance around the circle is called
  • arc
  • circumference
  • chord
  • radius
  • diameter
Question 3
3.
Which of the following figures represent a chord ?
  • fig II
  • fig V
  • fig I
  • fig III
  • fig IV
Question 4
4.
    • The minor arc of the circle is
  • MHKIM
  • HJILH
  • MHJIM
  • HJI
  • HKI
Question 5
5.
Which of the following statements are true?
a)
No two chords bisects each other.
b)
The longest chord of the circle passes through the centre of the circle.
c)
The farther the chord is from the centre, the larger the angle it subtends at the centre.
d)
Equal length chords subtend equal angles at the centre of the circle.
e)
Equal length chords are equidistant from the centre of the circle.
  • {a,c,e}
  • {c,d}
  • {a,b}
  • {a,b,d}
  • {b,d,e}
Question 6
6.
    • The minor sector of the circle is
  • HJI
  • HKILH
  • MHJIM
  • MHKIM
  • HJILH
Question 7
7.
    • The chords of the circle are
  •  


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MI
     
     
    ,
     


    KM
     
     
  •  


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MI
     
     
  •  


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MI
     
     
  •  


    NI
     
     
    ,
     


    NJ
     
     
    ,
     


    NK
     
     
    ,
     


    NL
     
     
    ,
     


    NM
     
     
  •  


    IJ
     
     
    ,
     


    JK
     
     
    ,
     


    KL
     
     
    ,
     


    LM
     
     
    ,
     


    MI
     
     
    ,
     


    NK
     
     
Question 8
8.
    • The major sector of the circle is
  • JEGFJ
  • EGF
  • EGFIE
  • EHFIE
  • JEHFJ
Question 9
9.
    • The major arc of the circle is
  • EHF
  • EHFIE
  • JEGFJ
  • EGFIE
  • JEHFJ
Question 10
10.
A chord that passes through the centre of the circle is called
  • semi-circle
  • radius
  • chord
  • circumference
  • diameter