Olympiad Mathematics - Understanding Elementary Shapes
Exam Duration: 45 Mins Total Questions : 30
How many metres is 805 cm?
- (a)
80 m 5 cm
- (b)
8 m 50 cm
- (c)
8 m 50 cm
- (d)
8 m 5 cm
1 m = 100cm
805 cm = (800 + 5) cm = 8 m 5 cm
If the string shown in the figure is pulled straight, then which one of the following will be the closest approximation of its length?
- (a)
7 cm
- (b)
8 cm
- (c)
9 cm
- (d)
6 cm
(4.5 - 2.5) + (4.5 - 3.0) + (7.5 - 3.5) = 2 + 1.5 + 4 = 7.5 cm = 8 cm (approx.)
Which is the longest rectangle?
- (a)
- (b)
- (c)
- (d)
By observing & comparing the given figures, rectangle B is the longest rectangle
How is the measure of an angle expressed?
- (a)
Compasses
- (b)
Protractor
- (c)
Degrees
- (d)
Centimetres
By what measure is the line m longer than the line n?
- (a)
1cm
- (b)
2cm
- (c)
3cm
- (d)
4cm
An angle which measures 0° is called a/ an __ angle
- (a)
zero
- (b)
straight
- (c)
obtuse
- (d)
right
What type of an angle is\(\angle\) AOB ?
- (a)
An obtuse angle
- (b)
A right angle
- (c)
An acute tangle
- (d)
A straight angle
What is an angle which measures 1800 called?
- (a)
A zero angle
- (b)
A right angle
- (c)
A straight angle
- (d)
An acute angle
A straight angle measures 1800
What is 89° an example of?
- (a)
An obtuse angle
- (b)
An acute angle
- (c)
A right angle
- (d)
A straight angle
In\(\angle\) PRQ, which of the following are the two arms?
- (a)
\(\overrightarrow { PR } ,\overrightarrow { RQ } \)
- (b)
\(\overrightarrow { RP } ,\overrightarrow { RQ } \)
- (c)
\(\overrightarrow { QR } ,\overrightarrow { QP } \)
- (d)
\(\overrightarrow { PQ } ,\overrightarrow { QR } \)
How do we write" \(\overrightarrow {PQ}\) is perpendicular to \(\overrightarrow {RS}\) "symbolically?
- (a)
\(\overleftrightarrow { PQ } \bot \overleftrightarrow { RS } \)
- (b)
\(\overleftrightarrow { PQ } //\overleftrightarrow { RS } \)
- (c)
\(\overleftrightarrow { PQ } \neq \overleftrightarrow { RS } \)
- (d)
\(\overleftrightarrow { PQ } =\overleftrightarrow { RS } \)
Which of the following has a definite length?
- (a)
A ray
- (b)
A straight line
- (c)
A line segment
- (d)
An angle
What is the measure of \(\angle\)AOB in the following figure?
- (a)
90°
- (b)
44°
- (c)
224°
- (d)
134°
According to the given figure
\(\angle\)AOC = 90°,\(\angle\)BOC = 134° and \(\angle\)AOB = \(\angle\)BOC -\(\angle\)AOC
=134°-90°=44°
At 6 O'clock, what type of an angle is formed between the hands of a clock?
- (a)
A straight angle
- (b)
A right angle
- (c)
An acute angle
- (d)
An obtuse angle
A straight angle.
What is the measure of angle y in the given figure?
- (a)
65°
- (b)
85°
- (c)
75°
- (d)
80°
115° +\(\angle\)y = 180° (Straight angle)
\(\Rightarrow\) \(\angle\)y = 65°
A triangle with sides measuring 5 cm, 6 cm and 4 cm is called a/an
- (a)
equilateral triangle
- (b)
isosceles triangle
- (c)
scalene triangle.
- (d)
right angled triangle
What do you call the distance between the ends of a line segment?
- (a)
Length of a line segment.
- (b)
Width of the line segment.
- (c)
Diameter of the line segment.
- (d)
Perimeter of the line segment
The length of a line segment is the distance between its end points
A gas pipe is an example of which of the following?
- (a)
Cuboid
- (b)
Cube
- (c)
Cone
- (d)
Cylinder
Of which of these is a football an example?
- (a)
Cylinder
- (b)
Cone
- (c)
Sphere
- (d)
Circle
How many edges does the following figure have?
- (a)
12
- (b)
8
- (c)
6
- (d)
4
A pattern of shapes is shown in the figure
Which shape is missing in the pattern?
- (a)
- (b)
- (c)
- (d)
How many degrees does the hour hand of 5. a clock turn in 5 minutes?
- (a)
\({ \left( \frac { 1 }{ 2 } \right) }^{ o }\)
- (b)
\({ \left( 3\frac { 1 }{ 2 } \right) }^{ o }\)
- (c)
5o
- (d)
\({ \left( 2\frac { 1 }{ 2 } \right) }^{ o }\)
We know that, the hour hand completes
1 rotation in 12 hours.
i.e., 360° = 12 hours
\(\Rightarrow \)360° = 60 x 12 minutes
\(\Rightarrow \) 1 minute =\({ \left( \frac { 360 }{ 60\times 12 } \right) }^{ o }\)
5 minute =\({ \left( \frac { 360 }{ 60\times 12 } \times 5 \right) }^{ o }={ \left( \frac { 5 }{ 2 } \right) }^{ o }={ \left( 2\frac { 1 }{ 2 } \right) }^{ o }\)
How many right angles does the hour hand of a clock turn when it moves from 6 to 12?
- (a)
1
- (b)
2
- (c)
3
- (d)
4
Which of the following quadrilaterals is not a parallelogram?
- (a)
Rectangle
- (b)
Trapezium
- (c)
Square
- (d)
Rhombus
Trapezium has only one pair of parallel sides. So, it is not a parallelogram
A triangular prism has_____________ faces.
- (a)
9
- (b)
8
- (c)
7
- (d)
5
Which of the following quadrilaterals does not have any difference in measurement between its length and breadth?
- (a)
Square
- (b)
Rectangle
- (c)
Trapezium
- (d)
Both (A) and (B)
Square has all sides of equal length.
Which of the following is the net of a cylinder?
- (a)
- (b)
- (c)
- (d)
none of these
Select the CORRECT match.
- (a)
Two pairs of parallel sides - Trapezium
- (b)
A rhombus with 4 right angles - Rectangle
- (c)
Parallelogram with 4 right angles - Rectangle
- (d)
Diagonals are perpendicular to one another-Trapezium
What is the shape of the faces of a cube?
- (a)
Circle
- (b)
Triangle
- (c)
Square
- (d)
Pentagon
Which of the following statements is CORRECT?
- (a)
A right angle is \(\frac{1}{2}\)of a revolution.
- (b)
A straight angle is \(\frac{1}{4}\) of a revolution
- (c)
The measure of a reflex angle is greater than that of a straight angle
- (d)
The angle of one revolution is a reflex angle.
A right angle is \(\frac{1}{4}\) of a revolution.
A straight angle is \(\frac{1}{2}\) of a revolution.
The angle of one revolution is a complete angle.