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MCQ Questions for CBSE Class 10 Maths Quiz with Answers

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Multiple Choice Questions for Class 10th Maths Quiz with Answers

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Arithmetic Progressions Class 10 Maths MCQ Quiz

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Arithmetic Progressions Questions and Answers

Arithmetic Progressions Quiz Question Answer
In an arithmetic series, a1=14 and a5=50. Find the sum of the first 5 terms.
90
20,16,12,8..... is the sequence and each term is increased by 4. Then which of the following could not be a term in the sequence? 762
The sum of first 20 natural numbers is 210
Find first term 'a' and common difference 'd' for the following AP.

281832,.....
a= 2,d= 2
The sum of the first 1000 positive integer is 500500
State the following statement is true or false:
Progression means increment of quantity in a particular pattern.
True
Which term of the sequence 7,2,3,8,......... is 73? 17
Find the 11th term of the sequence 5,2,1,4,...... 25
The nth term of the sequence 2,4,6,8.... is
2n
Find the A.P. whose sum to n terms is 2n2 +n The required A.P. is 3,7,11,15,...

Circles Class 10 Maths MCQ Quiz

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Circles Questions and Answers

Circles Quiz Question Answer
How many parallel tangents can a circle have?
2
The length of tangent drawn from a point 8 cm away from centre of circle of radius 6 cm is :
27cm
The tangent to a circle is a special case of the secant. It is:  True
There are exactly two tangents to a circle passing through a point lying ____ the circle. Outside
There cannot be more than two tangents to a circle parallel to a given secant. True
From an external point, if  K tangents can be drawn to a  circle, then K is equal to
2
Which of the following is point of contact?
452462.png
P
The maximum number of common tangents drawn to two intersecting circles at two points is 2
There is no tangent to a circle passing through a point lying ..... the circle. inside
A tangent to a circle is a line that intersects the circle in only one point. True

Constructions Class 10 Maths MCQ Quiz

Quiz 1

Constructions Questions and Answers

Constructions Quiz Question Answer
To construct a triangle similar to a given ABC with its sides 37 of the corresponding sides of Δ ABC, first draw a ray BX such that CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B1,B2,B3, ... on BX at equal distances and next step is to join
B7to C
Which is 2nd step?
452562.png
(d)
To construct a triangle similar to given ABC with its sides 23 of that of ΔABC, locate points on ray BX at equal distances as B1,B2,B3,.... such that CBX is acute. The points to be joined in the next step are: B3,C
To construct a triangle similar to given ΔABC with its sides 35 of that of ΔABC, a ray BX is drawn at acute angle with BCHow many minimum no. of points should be marked on BX?
5
To construct a triangle similar to given ΔABC with its sides 45 of that of ΔABC, locate points X1,X2,X3,..... on ray BX at equal distances such that ABX is acute. The points to be joined in the next step are:
X5,A
If two tangents are drawn at the end points of two radii that are inclined at an angle of 110. Find the angle between the tangents. 70
To construct a triangle similar to given ΔABC with sides equal to 75 of the sides of ΔABC, a ray BX is drawn such that CBX is acute angle and B1,B2,B3,... are marked at equal distances on BX. The points to be joined in the next step are: B5,C and B7,Q
To draw a pair of tangents to a circle which are at right angles to each other, it is required to draw tangents at end points of two radii which are inclined at an angle of? 90
What should be the angle between corresponding radii such that the tangents don't intersect? 180
If tangents are drawn from the end points of 2 radii that are inclined at an angle 125, what is the angle between the tangents? 55

Coordinate Geometry Class 10 Maths MCQ Quiz

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Coordinate Geometry Questions and Answers

Coordinate Geometry Quiz Question Answer
If (5, 7, 10), (1, 9, 6) are the extremities of the hypotenuse of a right angled isosceles triangle, then the third vertex is

(4, 6, 6)
The arrangement of the areas of the triangles formed by the following points in ascending order is 
i) P(0,0), Q(4,0), R(0,3)
ii) P(0,0), Q(5,0), R(0,2)
iii) P(0,0), Q(0,5), R(6,0)
iv) p(3,0), Q(0,6), R(0,0)
ii,i,iv,iii
two medians drawn from the acute angles of a right angled  triangle interect at the angle π/6 if thelength the hypotenuse of the triangle is 3 units then the area of the triangle is 3
The area inside the parabola 5x2y=0 but outside the parabola 2x2y+9=0 is 63 sq.units
Area of the triangle formed by co-ordinate axes and the line x + y = 5 is 52
The centre of the circle which passes through A (α,0), B (0, β), C (0, 0) is (α2,β2)
The centroid and two vertices of a triangles are (4,-8), (-9,7), (1,4) then the area of the triangle is  333 sq.units
The centre of a circle passing through the points (0 , 0), (1 , 0) and touching the circle x2+y2 = 9  (32,12)
If the points (3, -8), (4, -11) and (5, -k) are collinear them, the value of k is  14
The centers of the passing through (0,0) and (1,0) and touching the circle x2+y2=9is  (12,12)

Introduction To Trigonometry Class 10 Maths MCQ Quiz

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Introduction To Trigonometry Questions and Answers

Introduction To Trigonometry Quiz Question Answer
The value of 2tan30 is ________
3.46
The value of tanθ×cotθ= _____
1
Which of the following is equal to sinxsecx? tanx
The value of sinθ×cosecθ= _____
1
Who published the trigonometry in 1595?
Bartholomaeus Pitiscus
Choose the correct alternative answer for the following question.
cosec 45=?
2
If 3cosA=sinA, then the value of cotA is: 13
tan45=? 1
The value of cos1o.cos2o.cos3o.....cos179o is equal to 
0
In ABC, B=90, sinC=35, then cosA= ______ 35

Pair Of Linear Equations In Two Variables Class 10 Maths MCQ Quiz

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Pair Of Linear Equations In Two Variables Questions and Answers

Pair Of Linear Equations In Two Variables Quiz Question Answer
The condition for the pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 to have a unique solution is -
a1b2a2b10
If ax+y=by+z=czx, then which of the following equations is true? b=a+c
The point of intersection of the lines y=3x and x=3y is :
(0, 0)
If, 1x+1y=k and 1x1y=k, then the value of y ................. Does not exist.
If the pair of equations has no solution, then the pair of equations is :
inconsistent
Which of the following pairs of equations represent inconsistent system?
3xy=8

3xy=24
If the lines are parallel, then the pair of equations has no solution. In this case, the pair of equations is ................... inconsistent.
State whether the given statement is true or false:
A pair of linear equations is given by a1x+b1y+c1=0 and a2x+b2y+c2=0 also a1a2=b1b2=c1c2
In this case, the pair of linear equations is consistent.
True
State whether the given statement is true or false:
A pair of linear equations is given by a1x+b1y+c1=0 and a2x+b2y+c2=0 and a1a2=b1b2c1c2
In this case, the pair of linear equations is inconsistent.
True
State true\false:
A pair of linear equations is given by a1x+b1y+c1=0 and a2x+b2y+c2=0 and a1a2b1b2.
In this case, the pair of linear equations is consistent.
True

Polynomials Class 10 Maths MCQ Quiz

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Polynomials Questions and Answers

Polynomials Quiz Question Answer
The degree of the polynomial 2x1 is
1
The polynomials in which the highest power of the variable is two are known as .................. polynomials. Quadratic
State True Or False, whether the following expression is a quadratic polynomial or not:
x2+x 
True
For what value of k, 2 is a zero of the polynomial  3x2+4x+2k? 2
Find the degree of the polynomial 4y2. 2
Find the variable of the linear polynomial t+5. t
Which one of the following can be an example of cubic polynomial?
x3=0
Which of the following graphs is the graph of linear polynomial?
A cubic polynomial is a polynomial of degree: 3
Find the zeroes of the linear polynomial from the graph.

468740_96cbad25cb104e8d80b6207da0562077.png
A(1.8,0),B(7,0)

Probability Class 10 Maths MCQ Quiz

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Probability Questions and Answers

Probability Quiz Question Answer
A die is thrown then find the probability of getting an odd number. 12
In tossing a coin, the chance of throwing head and tail alternatively in 3 successive trials is
14
A die is thrown then find the probability of getting a perfect square. 13
What is number of outcomes when tossing two coins together?
4
If two coins are tossed then find the probability of the event that at least one tail turns up is: 34
If two coins are tossed then find the probability of the event that no head turns up. 14
A box contains 3 red, 3 white and 3 green balls. A ball is selected at random. Find the probability that the ball picked up is neither a white nor a red ball:
13
If two coins are tossed then find the probability of the events that at the most one tail turns up 34
Two coins are tossed. Find the probability that a head does not appear:
14
In a sample study of 642 people, it was found that 514 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is :

0.8

Quadratic Equations Class 10 Maths MCQ Quiz

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Quadratic Equations Questions and Answers

Quadratic Equations Quiz Question Answer
Solve the following equations.
x43x2+2=0, roots are 

x=±2,±1
Which of the following methods is used to derive the Standard Quadratic Formula for the Quadratic Equation ax2+bx+c=0? Completing Square Method
Let α(a) and β(a) be the roots of the equation (31+a1)x2+(1+a1)x+(61+a1)=0
lima0α(a) and lima0β(a) are
112 and 1
The roots of the equation 3y+1=y1  are?
None of these
A quadratic equation in x is ax2+bx+c=0, where a,b,c are real numbers and the other condition is
a0
Find the roots of following quadratic equation 
x2+3x2=0
x=3±172
Find the discriminant for the given quadratic equation:
3x2+22x23=0
32
Find the discriminant for the given equation:
3x2+2x1=0
16
Find the discriminant for the given quadratic equation: x2+4x+k=0 164k
Find the value of discriminant for the following equation.
x2+4x+k=0
Δ=164k

Real Numbers Class 10 Maths MCQ Quiz

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Real Numbers Questions and Answers

Real Numbers Quiz Question Answer
The non-terminating non-recurring decimal cannot be represented as: rational numbers
Euclids division lemma can be used to find the ........... of any two positive integers and to show the common properties of numbers. Highest common factor
m is not a perfect square, then m is   An irrational number
What is the square of (2+2)? An irrational number
What is the HCF of 13 and 22? 1
The decimal expansion of the rational number 33225 will terminate after:
two decimal places
The decimal representation of 931500  will be Terminating
The fact that 3+25 is irrational is because Sum of a rational and an irrational number is irrational
HCF of (10224,1608) is _________. 24
State true or false:
23 is an irrational number.
True

Some Applications Of Trigonometry Class 10 Maths MCQ Quiz

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Some Applications Of Trigonometry Questions and Answers

Some Applications Of Trigonometry Quiz Question Answer
Let 10 vertical poles standing at equal distances on a straight line, subtend the same angle of elevation α at a point O on this line and all the poles are on the same side of O. If the height of the longest pole is h and the distance of the foot of the smallest pole from O is a; then the distance between two consecutive poles, is hcosαasinα9sinα
A kite is flying at an inclination of 60 with the horizontal. If the length of the thread is 120 m, then the height at which kite is:
603 m
A vertical pole of height 10 meters stands at one corner of a rectangular field. The angle of elevation of its top from the farthest corner is 30, while that from another corner is 60. The area (in m2) of rectangular field is 20023
A pole 15 m long rests against a vertical wall at an angle of 30 with the ground How high up the wall does the pole reach? 7.5 m
the shadow cast by a tower is 30 m long when the elevation of sum is 30 If the elevation of sum is 60  then the length of the shadow is  10 m
The angle of depression of  a boat from the top of a cliff 300 m high is 60  The distance of the boat from the foot of the cliff is  1003
If the length of the shadow of a pole is equal to the height , of the pole, then the angle of the elevation of the sun is  45
The angle of elevation of an object viewed is the angle formed by the line of sight with the horizontal when it is
Above the horizontal level 
From the point B a perpendicular BD is drawn on AC. If cos30o=0.8, find the length of AD.
374004_cd5931ba012c4846945cbdb7cb7bb2d8.png
45
The length of the shadow of a pole is 3 times its height  The elevation of the sum must be  30

Statistics Class 10 Maths MCQ Quiz

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Statistics Questions and Answers

Statistics Quiz Question Answer
A cricket player scored the following runs in 11 one-day international matches:
65, 30, 7, 60, 65, 65, 30, 28, 30, 15, 30 Find the modal runs. 
30 runs
Mode of a set of observations is the value which occurs most frequently
To find mean, we use the formula
1Nni=1fixi
Find mode from the following grouped frequency distribution table:
Number of Trees PlantedNumber of Students
01030
102060
203050
304070
405040
34 trees
 Variable 48  9 1011 12 13 
 Frequency 345 8 4 3 2 
Mode of the distribution 


10
Calculate the median for the following data.
Marks (out of 60.)322726242321
Number of students 6479162
 
24
The mean of the following frequency distribution is 16.6
xi 8 12 15 18 20 25 30 Total
fi 12 16 p 24 16 q 4 100
q=8
Frequency distribution of daily commission received by 100 salesmen is given.
Daily commission (in Rs.)100120120140140160160180180200
No. of salesman20452294
Find mean daily commission received by a salesman.
136.4
The median for the following frequency distribution is:
x:123456789
f:810111620251596

5
Determine the mode of the following data.
Marks1016121913201114
Number of Students33426152
13

Surface Areas And Volumes Class 10 Maths MCQ Quiz

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Surface Areas And Volumes Questions and Answers

Surface Areas And Volumes Quiz Question Answer
Calculate the total surface area of frustum cone given below:
453703.jpg
6.05 πm2
A conical flask of base radius r and height h is full of milk. The milk is now poured into a cylindrical flask of radius 2r. What is the height to which the milk will rise in the flask? h12
A bucket is in the shape of the frustum of a right circular cone, whose radii are 5 and 10 mm. The curved surface area is 210 mm. Find the slant height. (Use π = 3) 4.66 mm
Say true or false:
The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r.
True
A medicine-capsule is in the shape of a cylinder of diameter 0.5cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2cm. The capacity of the capsule is
0.36cm3

The surface area of the frustum cone is given its base radius, R = 6 cm and top radius, r = 3 cm. The height of the cone is 4 cm. Find the slant height of the cone.

5 cm
Find the volume of a frustum cone, whose base and upper area of a circle is 6 and 6 cm2. The height of the cone is 100 cm. 600 cm3
A solid in shape of a frustum is 21 cm high. Its radius of top is 10 cm and diameter of bottom is 30 cm. The volume of the solid is 10450 cm3
If the ratio of the radii of the circular ends of a conical bucket whose height is 60cm is 2:1 and addition of the areas is 770 sq.cm. Find the capacity of the bucket in litres.
21.56 litres
A shuttle cock used for playing badminton has the shape of the combination of
frustum of a cone and a hemisphere

Triangles Class 10 Maths MCQ Quiz

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Triangles Questions and Answers

Triangles Quiz Question Answer
Fill in the blank
All .............. triangles are similar
equilateral
Fill in the blank
All squares are ............... (similar, congruent)
similar
In the given figure of ABC,¯XY||¯BC,AX=1cm,XB=3cmandBC=6cm.ThenXY=........cm. 
1440231_462cf116a5064ee2a7b3014301e5ebdc.PNG
1.5
In ABC, B=90, AB=8cm and BC=6cm. The length of the median BM is 5 cm
In the given figure ofABC,¯XY||¯BC,AX=1cm,XB=3cmandBC=6cm.Then,XY......cm
1441085_c80f4aba72d4431a86c982834afb76b9.PNG
1.5
In an equilateral ΔABC,D is the midpoint of AB and E is the midpoint of AC then ar(ΔABC):a(ΔADE)=?
1440772_dfecb7db936e4ad9bfd9b6805cec9cd5.PNG
4:1
If the ratio of the corresponding sides of the two similar triangles is 2 : 3, then the ratio of their corresponding altitudes is 2:3
If ABC and DEF are similar triangles such that A=47 and B=83 then F is 50
Which of the following cannot be the sides a right angle triangle?
9 cm, 5 cm, 7 cm
In the above figure, if DE || BC, then x equals :

83253_2bb0a137bc5c4121bcfc5d489677b5bc.png
6 cm

CBSE Class 10th Maths Sample Paper MCQ Questions with Answers

Free CBSE 10th Standard Maths Exam Mock Test will be of great help with all the concepts and subtopics in the subject. Identify your strengths and weaknesses by attempting the Math Grade 10 Practice Questions and improve your scores in final exams. Get to know the Pattern of Questions that is being asked by solving the CBSE Class 10th Maths MCQ Quiz and build a stronger understanding of the subject.

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conclusion

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