Olympiad Mathematics - Symmetry
Exam Duration: 45 Mins Total Questions : 30
Which of the following alphabets has a vertical line of symmetry?
- (a)
M
- (b)
B
- (c)
Q
- (d)
E
Which of the following alphabets has a horizontal line of symmetry?
- (a)
C
- (b)
K
- (c)
D
- (d)
All the above
Which of the following alphabets has no line of symmetry?
- (a)
A
- (b)
B
- (c)
P
- (d)
O
Which of the following alphabets has many lines of symmetry?
- (a)
I
- (b)
O
- (c)
P
- (d)
F
Which of the following figures has only two lines of symmetry?
- (a)
- (b)
- (c)
- (d)
Which of the following figures has rotational symmetry of order more than 1?
- (a)
- (b)
- (c)
- (d)
All of these
Which of the following figures has only one line of symmetry?
- (a)
- (b)
- (c)
- (d)
What is the order of rotational symmetry of the English alphabet Z?
- (a)
0
- (b)
1
- (c)
2
- (d)
3
A square has a rotational symmetry of order 4 about its centre. What is the angle of rotation?
- (a)
45°
- (b)
900
- (c)
180°
- (d)
270°
What is the order of rotational symmetry of the figure given?
- (a)
2
- (b)
1
- (c)
4
- (d)
3
Find the number of lines of symmetry of each of the figures given.
- (a)
2
- (b)
0
- (c)
1
- (d)
Infinitely many
Find the number of lines of symmetry of each of the figures given.
- (a)
4
- (b)
2
- (c)
6
- (d)
8
Which of the given figures has an order 4 rotational symmetry?
- (a)
- (b)
- (c)
- (d)
What is the order of rotational symmetry of the given figure?
- (a)
0
- (b)
1
- (c)
3
- (d)
4
What is the order of rotational symmetry of given figure?
- (a)
3
- (b)
6
- (c)
0
- (d)
Many
Which of the following figures has both linear symmetry and rotational symmetry?
- (a)
An isosceles triangle
- (b)
A scalene triangle
- (c)
A parallelogram
- (d)
A square
Which of the following isthe odd one out?
- (a)
A pentagon
- (b)
A scalene triangle
- (c)
A semicircle
- (d)
An isosceles triangle
Which of the following statements is correct?
- (a)
An equilateral triangle has three lines of symmetry
- (b)
A rectangle has four lines of symmetry
- (c)
A circle has only one line of symmetry.
- (d)
A parallelogram has two lines of symmetry.
Which of these has 3 lines of symmetry?
- (a)
Any triangle.
- (b)
An isosceles triangle
- (c)
An equilateral triangle.
- (d)
A right angled triangle
Which of these letters of the English alphabet has reflectional symmetry about a vertical mirror?
- (a)
U
- (b)
B
- (c)
P
- (d)
F
A figure looks exactly the same as its original position after a 600 rotation about its centre. At which other angle does this repeat?
- (a)
600
- (b)
1200
- (c)
2700
- (d)
450
Which of these letters of the English alphabet has both multiple line and rotational symmetries?
- (a)
O
- (b)
S
- (c)
H
- (d)
L
A square has_________ lines of symmetry.
- (a)
One
- (b)
Two
- (c)
Three
- (d)
Four
Which of the following letters has reflectional symmetry about both horizontal and vertical mirrors?
- (a)
A
- (b)
C
- (c)
U
- (d)
H
A figure has a rotational symmetry of order more than 1, the angle of rotation can be________________
- (a)
21°
- (b)
22°
- (c)
23°
- (d)
24°
A windmill has four blades and rotational symmetry of the order 2 x K. Find K.
- (a)
1
- (b)
2
- (c)
3
- (d)
4
What is the least number of squares that must be added so that the line AB becomes a line of symmetry?
- (a)
4
- (b)
5
- (c)
6
- (d)
7
How many of the following letters have rotational symmetry of order more than 1? R,B,F,H,O,P,S,W,X,Z,N
- (a)
4
- (b)
9
- (c)
5
- (d)
8
Match the following.
- (a)
P Q R S iv i ii iii - (b)
P Q R S iv iii ii i - (c)
P Q R S ii iv iii i - (d)
P Q R S ii i iv ii
State 'T' for true and 'F' for false.
(i) Number 0 has both rotational and line of symmetry.
(ii) A regular polygon of n sides has 2n lines of symmetry.
(iii) A square has four lines of symmetry and rotational symmetry of order 2.
(iv) A circle has finite number of lines of symmetry.
- (a)
(i) (ii) (iii) (iv) T F F F - (b)
(i) (ii) (iii) (iv) T F T F - (c)
(i) (ii) (iii) (iv) F T F T - (d)
(i) (ii) (iii) (iv) F T T T