Olympiad Mathematics - Basic Geometrical Ideas
Exam Duration: 45 Mins Total Questions : 30
Name the set of points which is a part of a line with two end points
- (a)
A line
- (b)
A line segment
- (c)
A ray
- (d)
A point
How do you write a line segment AB symbolically?
- (a)
\(\overline { AB } \)
- (b)
\(\overleftrightarrow { AB } \)
- (c)
\(\overrightarrow { AB } \)
- (d)
AB
What is the symbolic representation of a ray OP?
- (a)
\(\overline { OP } \)
- (b)
\(\overleftrightarrow { OP } \)
- (c)
\(\overrightarrow { OP } \)
- (d)
OP
What is the number of end points of a line?
- (a)
Zero
- (b)
Two
- (c)
One
- (d)
Three
How many lines can you draw joining two distinct points in a plane?
- (a)
Two
- (b)
One
- (c)
Zero
- (d)
Infinitely many
Three points P,Q and R are said to be collinear. Where do they lie?
- (a)
On the same plane.
- (b)
On the same line.
- (c)
On different lines
- (d)
On different planes
Which of the following statements is true?
- (a)
Every ray has a definite length
- (b)
Every line has a definite length
- (c)
Every line segment has a definite length.
- (d)
Every point has a definite length.
What is the number of line segments in a cuboid?
- (a)
6
- (b)
8
- (c)
12
- (d)
16
If l // m and m // n then what can be said about l and n?
- (a)
l // p
- (b)
l // q
- (c)
m // n
- (d)
l // n
Which of the following is an example for a pair of parallel lines?
- (a)
Corners of a room
- (b)
Railway track
- (c)
Sides of a triangle
- (d)
Cross roads
If the diameter of a circle is 7.12 cm then what is its radius?
- (a)
35.6 cm
- (b)
3.56 cm
- (c)
356cm
- (d)
0.356 cm
What type of an angle is inscribed in a minor segment?
- (a)
An acute angle
- (b)
An Obtuse angle
- (c)
A right angle
- (d)
A straight angle
What is the total boundary length of circle called?
- (a)
Area
- (b)
Volume
- (c)
Circumference
- (d)
Diameter
If the diameter of a circle is 14 cm then what is its circumference?
- (a)
66cm
- (b)
44cm
- (c)
33 cm
- (d)
55 cm
To define an arc we need at least how many points?
- (a)
2
- (b)
3
- (c)
1
- (d)
4
Which of the following symbols is used to represent an arc?
- (a)
- (b)
/ /
- (c)
- (d)
\(\triangle\)
What are the instruments used to draw a circle?
- (a)
A scale and set squares
- (b)
A scale and a protractor
- (c)
A scale and a compasses
- (d)
A scale only
How many angles are formed between any two consecutive rays in the given figure?
- (a)
0
- (b)
2
- (c)
1
- (d)
4
In the figure given, I || m. If AB \(\bot \) l, CD\(\bot \) I and AB = 2.3cm, what is the measure of CD?
- (a)
2.3 cm
- (b)
3.2 cm
- (c)
4.6 cm
- (d)
6.4 cm
The time is 3 O'clock. What is the angle between the two hands of the clock?
- (a)
00
- (b)
900
- (c)
1800
- (d)
600
How many squares are there in the following figure?
- (a)
16
- (b)
17
- (c)
25
- (d)
30
Which of the following lines is perpendicular to line AB?
- (a)
IV
- (b)
III
- (c)
II
- (d)
I
How many triangles are there in the figure?
- (a)
13
- (b)
3
- (c)
6
- (d)
1
A line segment passing through the centre of a circle and whose end points lie on the circle is called________
- (a)
Diameter
- (b)
Radius
- (c)
Sector
- (d)
None of these
The basic elements of a quadrilateral are _______
- (a)
4 vertices
- (b)
4 sides
- (c)
4 angles
- (d)
All of these
In the given figure, there are ________ angles.
- (a)
4
- (b)
8
- (c)
6
- (d)
10
How many line segments are there in the given figure?
- (a)
3
- (b)
5
- (c)
2
- (d)
4
Raghav drew the line segments shown here on a piece of paper. Which of the following pairs of line segments appears to be perpendicular?
- (a)
\(\overline { GH } \) and \(\overline { KL } \)
- (b)
\(\overline { GH } \) and \(\overline { IJ } \)
- (c)
\(\overline { EF } \) and \(\overline { KL } \)
- (d)
\(\overline { EF } \) and \(\overline { GH } \)
The polygon which is made up of least number of sides is a_______.
- (a)
Square
- (b)
Triangle
- (c)
Rectangle
- (d)
None of these
How many lines can be drawn to pass through two points simultaneously?
- (a)
One
- (b)
Two
- (c)
More than three
- (d)
No line