# MCQ Questions for CBSE Class 9 Maths Quiz with Answers

Students can practice the MCQ Questions for Class 9 Maths to test their conceptual knowledge and improve in weak areas accordingly. CBSE Class 9th Maths Mock Test over here will improve your overall skills in the subject.

## Multiple Choice Questions for Class 9th Maths Quiz with Answers

Practice using the Maths Grade 9 MCQ Questions Quiz by simply clicking on the conceptwise links mentioned below.

### Areas Of Parallelograms And Triangles Questions and Answers

Areas Of Parallelograms And Triangles Quiz Question Answer
Two triangles on same base and are between same parallel lines have ____ . Equal area
In the figure given above, if the area of the triangle ABE = $${43 cm ^2}$$; find the area of the parallelogram ABEF.

$${86\ cm ^2}$$
A rectangle and a rhombus are on the same base and between the same parallels. The ratio of their areas is : $$1 : 1$$
If two triangles are on the same base and between the same parallels, then the ratio of
their areas is :
$$1 : 1$$
In the given figure, KL // AC // YZ. B and D are

equidistant from AC. If $$5KL = YZ$$,
find the ratio of areas of $$\Delta$$

BKL and
$$\Delta$$

DYZ.

1: 25
D and E are the mid points of the sides AB and AC of a triangle ABC. Then in what ratio are the areas of the triangles ADE and ABC ?
1 : 4
Two parallelograms are on the same base and between the same parallels. The ratio of their areas is :
$$1 : 1$$
From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is

$$60 cm^2$$
If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of the parallelogram is:
$$1 : 2$$
Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is :
$$1 : 1$$

#### Circles Class 9 Maths MCQ Quiz

In the above figure, $$\angle POR$$ is (there $$O$$ is centre of Circle)
$$160^\circ$$
What is the sum of $$\angle{BAD}+\angle{BPR}+\angle{BCD}+\angle{BQR}$$ in the above figure?
$$360^\circ$$
In the given figure, the value of $$x$$ and $$y$$ is:

$$36^{\circ}$$, $$60^{\circ}$$
In the given figure, $$O$$ is the centre of the circle, $$\angle ACB=54^{\circ}$$ and $$BCE$$ is a straight line. Find $$x.$$

$$108^{\circ}$$
A set of points equidistant from a fixed point in a plane figure is called circle
In the given figure, $$\angle M = 75^{\circ}$$, then $$\angle O$$ is equal to:

$$105^{\circ}$$
Which of the following is a cyclic quadrilateral? Trapezium
If the length of the largest chord of a circle is $$17$$ cm, find the radius of a circle. $$8.5$$ cm
In fig. O is the centre of the circle. Determine $$\angle$$ AEC
68$$^{\circ}$$
In the figure shown above, the radius $$OA$$ is equal to the chord $$AB$$. Then, what is $$\angle APB$$?
$$30^{\circ}$$

#### Constructions Class 9 Maths MCQ Quiz

For constructing a triangle when the base, one base angle and the difference between lengths of other two sides are given, the base length is equals to: The given base length
The first step in the process is: $$2$$
You are asked to "construct" an angle whose measure is $$30^\circ$$. Which of the following methods would be considered as an acceptable construction?  Using a compass and straightedge, construct an equilateral triangle and then bisect one of its angles.
Construct a $$\triangle ABC$$ in which $$AB= 5.4\ cm, \angle CAB= 45^{\circ}$$ and $$AC + BC= 9\ cm.$$Then, $$m\angle ACB$$ is: $$75^o$$
Which of the following angles is possible to construct using a compass? $$60^\circ$$
Which diagram below shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
For constructing a triangle whose perimeter and both base angles are given, the base length is equal to: the length of the perimeter
The last step in the process is: $$2$$
The steps of construction of an $$\angle AOB=45^{o}$$ is given in jumbled order below:
1. Place compass on intersection point.
Place ruler on start point and where arc intersects perpendicular line.
Adjust compass width to reach start point.
Construct a perpendicular line.
Draw $$45$$ degree line.
Draw an arc that intersects perpendicular line.
The third step in process is:
$$3$$
Each angle of equilateral triangle is $$60^\circ$$. The angles are bisected then each angle will be of: $$30^o$$

### Coordinate Geometry Questions and Answers

Which of the following points lies in $$III$$ quadrant? $$(-1, -3)$$
The point which lies on $$y$$-axis and at a distance of $$2$$ units in negative direction of $$y$$-axis is _____ $$(0, -2)$$
The sign of abscissa and ordinate of point in $$II$$ quadrant is $$(-, +)$$
In the graph, which point represents co-ordinates $$(-2, 0)$$.
$$R$$
Which of the following points lie on $$x$$-axis? $$(6, 0)$$
In which quadrant will point $$(2, -1)$$ lie? $$IV$$
If the perpendicular distance of a point $$P$$ in a plane from $$x$$-axis is $$2$$ units and from $$y$$-axis is $$7$$ units, then its abscissa is: $$7$$
What are the coordinates of $$Q$$?
$$(0,3)$$
What are the coordinates of $$R$$?
$$(-2, 1)$$
What are the coordinates of $$S$$?
$$(-3,-2)$$

### Heron'S Formula Questions and Answers

The sides of a triangle are $$3$$ cm, $$4$$ cm and $$5$$ cm. Its area is .......
$$6 cm^2$$
State true or false:
In $$\triangle ABC$$, $$AB= BC=CA=2a$$ and AD is perpendicular to side BC, the area of $$\triangle ABC= a^2\sqrt2$$.
False
Area of an equilateral triangle of side $$a$$ units can be calculated by using the formula :
$$(s-a)\sqrt{s(s-a)}$$
The area of an equilateral triangle with side $$2 \sqrt{3}$$ cm is
$$5.196 cm^2$$
The area of a triangle whose sides are 4 cm, 13 cm and 15 cm is 24 $$\displaystyle cm^{2}$$
The sides of a triangle are $$4, 5$$ and $$6$$ cm. The area of the triangle is equal to $$\displaystyle \frac{15}{4}\sqrt 7 cm^2$$
If the sides of triangle are doubled then is area become four times
Heron's formula is : $$\Delta = \sqrt{s(s-a)(s-b)(s-c)}$$, $$2s = a+b+c$$
Area of traingle ABC whose sides are 24m, 40m and 32m is- $$384{m}^{2}$$
The sides of a triangle are 5 cm, 12 cm and 13 cm. Then its area  is
$$0.003 m^2$$

### Introduction To Euclid'S Geometry Questions and Answers

Introduction To Euclid'S Geometry Quiz Question Answer
Things which are three times of the same thing are
equal to each other
Two intersecting lines cannot be parallel to the same line is stated in the form of : an axiom
Which Euclid's postulate led to the discovery of several other geometries while attempting to prove it using other postulates and axioms
Fifth Postulate
Euclid stated that if equals are subtracted from equals, the remainders are equals in the form of :
an axiom
John is of the same age as Mohan. Ram is also of the same age as Mohan. State the Euclid's axiom that illustrates the relative ages of John and Ram.
First axiom
Euclid's stated that all right angles are equal to each other in the form of :
a postulate
The things which are double of same thing are :
equal
Euclid's fifth postulate is
if a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines if produced indefinitely, meet on that side on which the sum of angles is less than two right angles
Euclidean geometry is valid only for curved surfaces.
False
Axioms are assumed
universal truths in all branches of mathematics

### Linear Equations In Two Variable Questions and Answers

Linear Equations In Two Variable Quiz Question Answer
Which of the following equation represents a straight line which is parallel to the $$x$$-axis and at a distance $$3$$ units below it?
Any line parallel to $$x$$-axis and at a distance of $$3$$ units below it is given by $$y = -3$$
State whether the given statement is true or false:
The graph of a linear equation in two variables need not be a line.
False
The equation $$x = 7$$, in two variables, can be written as
$$1. x + 0. y = 7$$
Two points with coordinates $$(2, 3)$$ and $$(2, 1)$$ lie on a line. Then $$(i)$$ the line is parallel to which axis? $$(ii)$$ Justify your answer.

$$(i)$$  Parallel to $$y$$-axis.

$$(ii)$$  Since $$x$$-coordinate of both the points is $$2$$, both points lie on the line $$x = 2$$ which is parallel to $$y$$-axis.
Age of $$x$$ exceeds the age of $$y$$ by 7yrs. This statement can be expressed as the linear equation as :
$$x - y - 7 = 0$$
How many linear equations in $$x$$ and $$y$$ can be satisfied by $$x = 1$$ and $$y = 2$$?
Infinitely many
State whether the given statement is true or false:
Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.
False
The condition that the equation $$ax + by + c = 0$$ represent a linear equation in two variables is :
$$a \neq 0, b \neq 0$$
The linear equation $$x = 5$$ in two variables can be written as :
$$1.x + 0. y + ( - 5) = 0$$
Linear equation in one variable is :
$$3t + 5 = 9t- 7$$

### Lines And Angles Questions and Answers

Lines And Angles Quiz Question Answer
At $$4:15$$, the angle formed between the two hands of a clock is:
acute
$$\angle ABC$$ in the following figure is a / an:

reflex angle
Two supplementary angles are in the ratio 4 :The angles are
$$80^{\circ}, 100^{\circ}$$
The complement of $$(90^o-a)$$ is : $$a$$
In Fig, POQ is a line. The value of x is:

$$20^0$$
Find the complement of the angle :
$$\dfrac{1}{4}$$ of a right angle.
$$67 \cdot 5^o$$
State true or false:
The complement of the angle $$(150-a+b)^o$$ is $$(a - b - 60)^o$$.
True
Find the angle which is $$20^o$$ more than its supplement. $$100$$
State if the following statement is true or false:
An exterior angle of a triangle is equal to the sum of the two interior opposite angles.
True
If two angles are complementary of each other, then each angle is:
an acute angle

### Number Systems Questions and Answers

State whether the statement is true (T) or false (F).
If $$\dfrac{p}{q}$$ is a rational number, then $$p$$ cannot be equal to zero.
False
State whether the statement is true (T) or false (F).
If $$\dfrac{x}{y}$$ is a rational number, then $$y$$ is always a whole number.
False

State true or false.

Zero is the smallest rational number.

False
$$5^{0}=5$$ False
If $$x$$ be any non-zero integer and $$m,n$$ be positive integers, then $$x^m \times x^n$$ is equal to
$$x^{m+n}$$
If $$y$$ is any non-zero integer, then $$y^0$$ is equal to ....

$$1$$
$$(-2)^{0}=2$$ False
$$(-6)^{0}=-1$$ False

Find the positive rational number out of the following.

$$\dfrac{-20}{-45}$$
State whether the following statement is true (T) or false (F):
$$3^0 = (1000)^0$$.

True

#### Polynomials Class 9 Maths MCQ Quiz

The degree of the polynomial $$2x-1$$ is
$$1$$
State true or false:
$$3$$ is a zero of $$x+3$$ .
False
The degree of the polynomial  $$p(x) = x^{3}-9x+3x^{5}$$  is
$$5$$
The degree of the polynomials  $$p(y) = y^{3}, q(y) = (1-y^{4})$$  are
$$3,4$$
Find the zeroes of the polynomial in the following :
$$p(x) = x - 4$$.
$$4$$

$$\sqrt 2$$ is a polynomial of degree

$$0$$
$$3$$ is a  type of
Constant Polynomial
Degree of the polynomial $$p(x) = -10$$ is:
$$0$$
Which is a binomial of degree $$20$$?
$$x^{20}+1$$
If the degree of polynomial $$p(y)$$ is $$a$$, then the maximum number of zeroes of $$p(y$$) would be: $$a$$

#### Probability Class 9 Maths MCQ Quiz

A die having six faces is tossed $$80$$ times and the data is as below:
 Outcome $$1$$ $$2$$ $$3$$ $$4$$ $$5$$ $$6$$ Frequency $$10$$ $$20$$ $$10$$ $$28$$ $$8$$ $$4$$

Find $$P (1)$$.

$$0.125$$
There are $$40$$ students in a class and their results is presented as below :
 Result (Pass/Fail) Pass Fail Number of Students $$30$$ $$10$$

If a student chosen at random out of the class, find the probability that the student has passed the examination
$$0.75$$

$$400$$ students of class $$X$$ of a school appeared in a test of $$100$$ marks in the subject of social
studies and the data about the marks secured is as below :

 Marks           secured Number of Students $$0-25$$ $$50$$ $$26-50$$ $$220$$ $$51-75$$ $$100$$ Above $$75$$ $$30$$ Total number of students $$400$$

If the result card of a student he picked up at random, what is the probability that the student has secured more than $$50$$ marks.

$$0.325$$

A coin is tossed $$150$$ times and the outcomes are recorded. The frequency distribution of the outcomes $$H$$ (i.e, head) and $$T$$ (i.e, tail) is given below :

 Outcome $$H$$ $$T$$ Frequency $$85$$ $$65$$

Find the value of $$P(H)$$, i.e, probability of getting a head in a single trial.

None of these
A die is thrown $$200$$ times and the outcomes $$1, 2, 3, 4, 5, 6$$ have frequencies as below:
 Outcome $$1$$ $$2$$ $$3$$ $$4$$ $$5$$ $$6$$ Frequency $$40$$ $$38$$ $$43$$ $$29$$ $$28$$ $$22$$

Find the probabilities of getting a number more than $$1$$ and less than $$6$$ in a toss (trial).

$$0.69$$

There are $$500$$ packets in a large box and each packet contains $$4$$ electronic devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below:

 No. of faulty devices in a packet Number of packets $$0$$ $$300$$ $$1$$ $$100$$ $$2$$ $$50$$ $$3$$ $$30$$ $$4$$ $$20$$ Total number of packets $$500$$

If one packet is drawn from the box, what is the probability that all the four devices in the packet are without any fault?

$$0.6$$
In a shooting game, John shoots the balls $$20$$ times out of $$40$$ trials. What is the empirical probability of the shooting event?
$$\dfrac{1}{2}$$
Find probability of bag chosen out random contains more than $$5\ kg$$. $$0.7$$

There are $$40$$ students in a class and their results is presented as below :

 Result (Pass/Fail) Pass Fail Number of Students $$30$$ $$10$$

If a student chosen at random out of the class, find the probability that the student has passed the examination.

$$0.75$$
What is the probability that there are $$5$$ Mondays in the month of February 2016? $$\dfrac{1}{7}$$

#### Quadrilaterals Class 9 Maths MCQ Quiz

Which of the following statements holds always? Every parallelogram is a trapezium.
State true or false:
All squares are trapeziums.
True
The value of $$x$$ in the given diagram is ?
$$140^{o}$$
Can all the four angles of a quadrilateral be obtuse angle?
No
All rhombuses are parallelograms?
True
State true or false:
Square have four right angles.
True
If the diagonals AC and BD of a quadrilateral ABCD bisect each other, then ABCD is a :
rhombus
State 'True' or 'False':
If two adjacent sides of a parallelogram are equal, it is a rhombus.
True
In a quadrilateral ABCD, $$\angle A + \angle C = 180^{\circ}$$ then $$\angle B + \angle D =$$ $$180^{\circ}$$
2

#### Statistics Class 9 Maths MCQ Quiz

If x is the average(arithmetic mean) of $$5$$ consecutive odd integers, what is the median of integers? x
If x and y are both prime numbers such that x < y < 50 , then the maximum possible range of the data 4,6,8, x,y,16 is  44
Upper limit of class interval $$75 - 85$$ is: $$85$$
Which two class has same frequency ? $$10-20$$ & $$40-50$$
Which class has lowest frequency ? $$0-10$$
The difference between upper and lower limit is called  class size
The class mark of $$95-100$$ is $$97.5$$
In the class interval $$30-40$$, $$30$$ is Lower limit
Data available in unorganized form is called raw data
Size of the class $$180 - 195$$ is $$15$$

### Surface Areas And Volumes Questions and Answers

Surface Areas And Volumes Quiz Question Answer
The length of diagonal of a cube is $$15\sqrt { 2 }$$cm, then the length of its side is: $$5\sqrt { 6 }$$ cm
State whether the given statement is True or False.
One cubic meter is equal to one litre.
False
The volume of a solid is the measurement of the portion of the space occupied by it.
State True or False.
True
Find the volume and surface area of a sphere of radius $$4.2$$ cm. $$\displaystyle \left [ \pi =\frac{22}{7} \right ]$$
$$310.46 \,\text{cm}^3,\:221.76 \,\text{cm}^2$$
Find the volume of a sphere whose radius is $$7\ cm$$ $$1437\cfrac{1}{3}{cm}^{3}$$
The surface area of a cube of side is $$27\ \text{cm}$$ is: $$4374{\ \mathrm{cm}}^{2}$$
The volume of a sphere of diameter $$d$$ is:
$$\dfrac {\pi d^3}{6}$$
Curved surface area of hemisphere of diameter $$2 r$$ is :
$$2\pi r^{2}$$
The ratio of the volumes of two spheres is $$8 : 27$$. The ratio of their radii is
$$2 : 3$$
Volume of a cuboid whose $$l=3.5$$ m, $$b =2.5$$ m and $$h =1.5$$ m is
$$13.125$$ cu m

#### Triangles Class 9 Maths MCQ Quiz

Two sides of a triangle are of lengths $$4$$ cm and $$1.5$$ cm. The length of the third side of the triangle cannot be
$$5.8$$ cm
The construction of a triangle $$ABC$$, given that $$BC =$$ $$6$$ cm, $$B =$$ $$45 ^{\circ}$$ is not possible when difference of $$AB$$ and $$AC$$ is equal to:
$$6.9$$ cm
In the above figure, if OA $$=$$ OB, OD $$=$$ OC then $$\Delta AOD \cong \Delta BOC$$ by congruence rule :

$$SAS$$
In $$\Delta ABC\, \angle A=50^{\circ}$$and$$\, \angle B=60^{\circ}$$. By arranging the sides of the triangle in ascending order, we get :
$$BC < CA < AB$$
In $$\Delta ABC, \angle A=100^{\circ}, \angle B=30^{\circ}$$ and $$\angle C= 50^{\circ}$$,then
$$AB>AC$$
In figure, if $$AB=AC$$ and $$AP=AQ$$, then by which congruence criterion $$\Delta PBC \cong \Delta QCB$$?

$$SAS$$
$$Q$$ is a point on side RS of $$\Delta PSR$$ such that $$PQ =PR$$ then which of the following is correct:
$$PS > PQ$$
If length of the largest side of a triangle is 12 cm then other two sides of triangle can be
4.8 cm, 8.2 cm
If $$AB = 1$$, then radius of the inscribed circle

is:

$$\frac{1}{3}$$
$$\Delta ABC$$ is congruent of $$\Delta DEF$$, if
$$AB = DE$$, $$AC = DF$$, $$\angle B =\angle E$$

### CBSE Class 9th Maths Sample Paper MCQ Questions with Answers

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conclusion

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