EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Polygons
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
Sum of the interior angles in an octagon is
  • (i)
    1095°
  • (ii)
    1080°
  • (iii)
    1090°
  • (iv)
    1085°
  • (v)
    1110°
Question 2
2.
The value of each interior angle in an n-sided regular polygon is
  • (i)
    [
    (2n - 4) x 90

    n
    ] °
  • (ii)
    (
    360

    n
    ) °
  • (iii)
    [
    (2n - 4) x 180

    n
    ] °
  • (iv)
    (
    n

    360
    ) °
Question 3
3.
How many diagonals does a hexagon have?
  • (i)
    6
  • (ii)
    12
  • (iii)
    9
  • (iv)
    8
  • (v)
    10
Question 4
4.
How many diagonals does a decagon have?
  • (i)
    32
  • (ii)
    38
  • (iii)
    36
  • (iv)
    35
  • (v)
    34
Question 5
5.
The number of diagonals in a regular polygon with n sides is
  • (i)
    (
    n
    ) (
    n
    3
    )

    2
  • (ii)
    (
    n
    ) (
    n
    +
    2
    )

    2
  • (iii)
    (
    n
    ) (
    n
    +
    3
    )

    2
  • (iv)
    (
    n
    ) (
    n
    1
    )

    2
  • (v)
    (
    n
    ) (
    n
    2
    )

    2
Question 6
6.
    • Find the number of sides in a regular polygon if each
    • exterior
    • angle is
    • 30°
  • (i)
    11
  • (ii)
    12
  • (iii)
    15
  • (iv)
    13
  • (v)
    10
Question 7
7.
How many diagonals does a nonagon have?
  • (i)
    29
  • (ii)
    28
  • (iii)
    24
  • (iv)
    26
  • (v)
    27
Question 8
8.
Sum of the interior angles in a triangle is
  • (i)
    180°
  • (ii)
    210°
  • (iii)
    195°
  • (iv)
    185°
  • (v)
    190°
Question 9
9.
How many diagonals does an octagon have?
  • (i)
    17
  • (ii)
    19
  • (iii)
    22
  • (iv)
    20
  • (v)
    21
Question 10
10.
The value of the interior angle in a regular polygon when the exterior angle is given
  • (i)
    90°+ (exterior angle)
  • (ii)
    180°+ (exterior angle)
  • (iii)
    180°- (exterior angle)
  • (iv)
    360°- (exterior angle)
Question 11
11.
Identify the figure below
  • (i)
    octagon
  • (ii)
    nonagon
  • (iii)
    angle
  • (iv)
    triangle
  • (v)
    heptagon
Question 12
12.
How many sides does a quadrilateral have?
  • (i)
    4
  • (ii)
    5
  • (iii)
    7
  • (iv)
    3
  • (v)
    2
Question 13
13.
Sum of the interior angles in a decagon is
  • (i)
    1455°
  • (ii)
    1450°
  • (iii)
    1470°
  • (iv)
    1445°
  • (v)
    1440°
Question 14
14.
Sum of the interior angles in a hexagon is
  • (i)
    730°
  • (ii)
    725°
  • (iii)
    735°
  • (iv)
    750°
  • (v)
    720°
Question 15
15.
A polygon with 3 sides is called a
  • (i)
    quadrilateral
  • (ii)
    pentagon
  • (iii)
    triangle
  • (iv)
    decagon
  • (v)
    hexagon
Question 16
16.
The value of the exterior angle in a regular polygon when the interior angle is given
  • (i)
    90°+ (interior angle)
  • (ii)
    360°- (interior angle)
  • (iii)
    180°- (interior angle)
  • (iv)
    180°+ (interior angle)
Question 17
17.
A polygon with 5 sides is called a
  • (i)
    octagon
  • (ii)
    pentagon
  • (iii)
    triangle
  • (iv)
    heptagon
  • (v)
    decagon
Question 18
18.
A polygon with 4 sides is called a
  • (i)
    hexagon
  • (ii)
    triangle
  • (iii)
    heptagon
  • (iv)
    quadrilateral
  • (v)
    octagon
Question 19
19.
How many sides does a heptagon have?
  • (i)
    8
  • (ii)
    7
  • (iii)
    10
  • (iv)
    6
  • (v)
    4
Question 20
20.
How many sides does a nonagon have?
  • (i)
    7
  • (ii)
    9
  • (iii)
    11
  • (iv)
    10
  • (v)
    8
Question 21
21.
Identify the figure below
  • (i)
    hexagon
  • (ii)
    nonagon
  • (iii)
    octagon
  • (iv)
    pentagon
  • (v)
    circle
Question 22
22.
How many diagonals does a quadrilateral have?
  • (i)
    0
  • (ii)
    1
  • (iii)
    4
  • (iv)
    3
  • (v)
    2
Question 23
23.
How many sides does an octagon have?
  • (i)
    7
  • (ii)
    9
  • (iii)
    5
  • (iv)
    11
  • (v)
    8
Question 24
24.
Identify the figure below
  • (i)
    heptagon
  • (ii)
    hexagon
  • (iii)
    pentagon
  • (iv)
    angle
  • (v)
    octagon
Question 25
25.
Sum of the interior angles in a nonagon is
  • (i)
    1260°
  • (ii)
    1290°
  • (iii)
    1265°
  • (iv)
    1275°
  • (v)
    1270°
    Assignment Key

  •  1) (ii)
  •  2) (i)
  •  3) (iii)
  •  4) (iv)
  •  5) (i)
  •  6) (ii)
  •  7) (v)
  •  8) (i)
  •  9) (iv)
  •  10) (iii)
  •  11) (ii)
  •  12) (i)
  •  13) (v)
  •  14) (v)
  •  15) (iii)
  •  16) (iii)
  •  17) (ii)
  •  18) (iv)
  •  19) (ii)
  •  20) (ii)
  •  21) (iv)
  •  22) (v)
  •  23) (v)
  •  24) (i)
  •  25) (i)