EduSahara™ Worksheet

Question 1

1.

Every simple closed curve divides a plane into how many sets of points?

(i)

5
(ii)

0
(iii)

4
(iv)

2
(v)

3

Question 2

2.

Identify the figure below

(i)

quadrilateral
(ii)

triangle
(iii)

pentagon
(iv)

circle
(v)

nonagon

Question 3

3.

Identify the figure below

(i)

nonagon
(ii)

octagon
(iii)

triangle
(iv)

quadrilateral
(v)

hexagon

Question 4

4.

Identify the figure below

(i)

nonagon
(ii)

octagon
(iii)

hexagon
(iv)

angle
(v)

circle

Question 5

5.

Identify the figure below

(i)

heptagon
(ii)

circle
(iii)

triangle
(iv)

pentagon
(v)

decagon

Question 6

6.

Identify the figure below

(i)

angle
(ii)

heptagon
(iii)

octagon
(iv)

hexagon
(v)

pentagon

Question 7

7.

Identify the figure below

(i)

nonagon
(ii)

heptagon
(iii)

pentagon
(iv)

triangle
(v)

quadrilateral

Question 8

8.

Identify the figure below

(i)

nonagon
(ii)

angle
(iii)

quadrilateral
(iv)

hexagon
(v)

octagon

Question 9

9.

Identify the figure below

(i)

hexagon
(ii)

nonagon
(iii)

pentagon
(iv)

heptagon
(v)

triangle

Question 10

10.

Identify the figure below

(i)

angle
(ii)

quadrilateral
(iii)

triangle
(iv)

hexagon
(v)

decagon

Question 11

11.

The angles of the triangle are

(i)

∠L , ∠M , ∠N
(ii)

∠J , ∠K , ∠M
(iii)

∠K , ∠L , ∠N
(iv)

∠J , ∠K , ∠L
(v)

∠K , ∠L , ∠M

Question 12

12.

The exterior angles of the triangle are

(i)

∠KJH , ∠LHI , ∠MIJ
(ii)

∠JIG , ∠KGH , ∠LHI
(iii)

∠IJG , ∠JGH , ∠KHJ
(iv)

∠LKI , ∠MIJ , ∠NJK
(v)

∠JKH , ∠KHI , ∠LIK

Question 13

13.

Sum of the interior angles in a triangle is

(i)

195°
(ii)

190°
(iii)

180°
(iv)

185°
(v)

210°

Question 14

14.

Sum of the interior angles in a quadrilateral is

(i)

365°
(ii)

360°
(iii)

375°
(iv)

370°
(v)

390°

Question 15

15.

Sum of the interior angles in a pentagon is

(i)

570°
(ii)

540°
(iii)

555°
(iv)

550°
(v)

545°

Question 16

16.

Sum of the interior angles in a hexagon is

(i)

730°
(ii)

720°
(iii)

735°
(iv)

725°
(v)

750°

Question 17

17.

Sum of the interior angles in a heptagon is

(i)

915°
(ii)

910°
(iii)

930°
(iv)

905°
(v)

900°

Question 18

18.

Sum of the interior angles in an octagon is

(i)

1080°
(ii)

1110°
(iii)

1090°
(iv)

1085°
(v)

1095°

Question 19

19.

Sum of the interior angles in a nonagon is

(i)

1275°
(ii)

1260°
(iii)

1270°
(iv)

1290°
(v)

1265°

Question 20

20.

Sum of the interior angles in a decagon is

(i)

1440°
(ii)

1455°
(iii)

1445°
(iv)

1450°
(v)

1470°

Question 21

21.

How many diagonals does a triangle have?

(i)

4
(ii)

0
(iii)

2
(iv)

3
(v)

1

Question 22

22.

How many diagonals does a quadrilateral have?

(i)

2
(ii)

0
(iii)

3
(iv)

1
(v)

4

Question 23

23.

How many diagonals does a pentagon have?

(i)

7
(ii)

5
(iii)

3
(iv)

4
(v)

6

Question 24

24.

How many diagonals does a hexagon have?

(i)

10
(ii)

11
(iii)

8
(iv)

9
(v)

7

Question 25

25.

How many diagonals does a heptagon have?

(i)

14
(ii)

17
(iii)

13
(iv)

12
(v)

15

Question 26

26.

How many diagonals does an octagon have?

(i)

20
(ii)

22
(iii)

19
(iv)

17
(v)

21

Question 27

27.

How many diagonals does a nonagon have?

(i)

29
(ii)

26
(iii)

24
(iv)

27
(v)

28

Question 28

28.

How many diagonals does a decagon have?

(i)

36
(ii)

37
(iii)

35
(iv)

34
(v)

32

Question 29

29.

Find the number of sides in a regular polygon if each
interior
angle is
144°

(i)

10
(ii)

8
(iii)

11
(iv)

9
(v)

12

Question 30

30.

Find the number of sides in a regular polygon if each
exterior
angle is
90°

(i)

3
(ii)

7
(iii)

5
(iv)

4
(v)

2

Question 31

31.

The value of each exterior angle in an n-sided regular polygon is

(i)

[
(2n - 4) x 180
n
] °
(ii)

[
(2n - 4) x 90
n
] °
(iii)

(
360
n
) °
(iv)

(
n
360
) °

Question 32

32.

The value of each interior angle in an n-sided regular polygon is

(i)

[
(2n - 4) x 180
n
] °
(ii)

(
n
360
) °
(iii)

(
360
n
) °
(iv)

[
(2n - 4) x 90
n
] °

Question 33

33.

The value of the exterior angle in a regular polygon when the interior angle is given

(i)

360°- (interior angle)
(ii)

90°+ (interior angle)
(iii)

180°+ (interior angle)
(iv)

180°- (interior angle)

Question 34

34.

The value of the interior angle in a regular polygon when the exterior angle is given

(i)

180°+ (exterior angle)
(ii)

360°- (exterior angle)
(iii)

90°+ (exterior angle)
(iv)

180°- (exterior angle)

Question 35

35.

Find the number of sides in a regular polygon if each
interior
angle is
175°

(i)

69
(ii)

74
(iii)

73
(iv)

72
(v)

71

Question 36

36.

Find the number of sides in a regular polygon if each
exterior
angle is
20°

(i)

19
(ii)

21
(iii)

17
(iv)

16
(v)

18

Question 37

37.

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

Assignment Key