10th Standard Maths Study material & Free Online Practice Tests - View Model Question Papers with Solutions for Class 10 Session 2019 - 2020
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10th Standard Mathematics Statistics and Probability English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Indumathi - Namakkal - View & Read

  • 1)

    Which of the following is not a measure of dispersion?

  • 2)

    The sum of all deviations of the data from its mean is

  • 3)

    The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all deviations is

  • 4)

    The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is

  • 5)

    If the standard deviation of x, y, z is p then the standard deviation of 3x+5, 3y+5, 3z +5 is

10th Standard Mathematics Mensuration English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Indumathi - Namakkal - View & Read

  • 1)

    If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is

  • 2)

    If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

  • 3)

    In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is

  • 4)

    The total surface area of a hemi-sphere is how much times the square of its radius.

  • 5)

    A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is

10th Standard Mathematics Trigonometry English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Indumathi - Namakkal - View & Read

  • 1)

    tan\(\theta \)cosec2\(\theta \)-tan\(\theta \) is equal to 

  • 2)

    if 5x=sec\(\theta \) and \(\frac { 5 }{ x } \) =tan\(\theta \), then x2-\(\frac { 1 }{ { x }^{ 2 } } \) is equal to 

  • 3)

    if sin\(\theta \) =cos\(\theta \), then 2tan2\(\theta \) +sin2\(\theta \) -1 is equal to 

  • 4)

    a cot\(\theta \)+b cosec\(\theta \) =p and b cot \(\theta \)+a cosec\(\theta \) =q then p2-qis equal to 

  • 5)

    The electric pole subtends an angle of 30° at a point on the same level as its foot. At a second point ‘b’ metres above the first, the depression of the foot of the tower is 60°. The height of the tower (in metres) is equal to

10th Standard Mathematics Coordinate Geometry English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Indumathi - Namakkal - View & Read

  • 1)

    A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is

  • 2)

    The point of intersection of 3x − y = 4 and x + y = 8 is

  • 3)

    If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is

  • 4)

    The equation of a line passing through the origin and perpendicular to the line

  • 5)

    A straight line has equation 8y = 4x + 21. Which of the following is true

10th Standard Mathematics Geometry English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Indumathi - Namakkal - View & Read

  • 1)

    If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

  • 2)

    If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C=90o and AC = 5 cm, then AB is

  • 3)

    if \(\triangle\)ABC, DE||BC, AB=3.6cm, AC=24 cm and AD=2.1 cm then the length of AE is

  • 4)

    In a \(\triangle\)ABC, AD is the bisector \(\angle\)BAC.If AB=5cm and DC=8cm. The length of the side AC is

  • 5)

    Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

10th Standard Mathematics Algebra English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Indumathi - Namakkal - View & Read

  • 1)

    A system of three linear equations in three variables is inconsistent if their planes

  • 2)

    If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 then the value of k is

  • 3)

    y2 + \(\frac {1}{y^{2}}\) is not equal to

  • 4)

    Which of the following should be added to make x4 + 64 a perfect square

  • 5)

    Graph of a linear polynomial is a

10th Standard Mathematics Numbers and Sequences English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Indumathi - Namakkal - View & Read

  • 1)

    Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

  • 2)

    The sum of the exponents of the prime factors in the prime factorization of 1729 is

  • 3)

    Given F1 = 1, F2 = 3 and Fn = Fn-1+Fn-2 then F5 is

  • 4)

    In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?

  • 5)

    The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is

10th Standard Mathematics Relations and Functions English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 - by Indumathi - Namakkal - View & Read

  • 1)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 2)

    If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following statement is true..

  • 3)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

  • 4)

    If {(a,8),(6,b)}represents an identity function, then the value of a and b are respectively

  • 5)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

10th Standard Mathematics Statistics and Probability English Medium Free Online Test 1 Mark Questions 2020-2021 - by Indumathi - Namakkal - View & Read

  • 1)

    The range of the data 8, 8, 8, 8, 8. . . 8 is

  • 2)

    The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all deviations is

  • 3)

    The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is

  • 4)

    If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is

  • 5)

    The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is

10th Standard Mathematics Mensuration English Medium Free Online Test 1 Mark Questions 2020-2021 - by Indumathi - Namakkal - View & Read

  • 1)

    If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is

  • 2)

    If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

  • 3)

    In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is

  • 4)

    The total surface area of a hemi-sphere is how much times the square of its radius.

  • 5)

    A frustum of a right circular cone is of height 16cm with radii of its ends as 8cm and 20cm. Then, the volume of the frustum is

10th Standard Mathematics Trigonometry English Medium Free Online Test 1 Mark Questions 2020-2021 - by Indumathi - Namakkal - View & Read

  • 1)

    The value of is \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) equal to

  • 2)

    if sin\(\theta \)=cos\(\theta \)=a and sec\(\theta \)+cosec\(\theta \)=b, then the value of b (a2-1) is equal to 

  • 3)

    if sin\(\theta \) =cos\(\theta \), then 2tan2\(\theta \) +sin2\(\theta \) -1 is equal to 

  • 4)

    (1+tan\(\theta \)+sec\(\theta \)) (1+cot\(\theta \)-cosec\(\theta \)) is equal to 

  • 5)

    If the ratio of the height of a tower and the length of its shadow is \(\sqrt { 3 } \):1 then the angle of elevation of the sun has measure

10th Standard Mathematics Coordinate Geometry English Medium Free Online Test 1 Mark Questions 2020-2021 - by Indumathi - Namakkal - View & Read

  • 1)

    The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is

  • 2)

    The straight line given by the equation x = 11 is

  • 3)

    The point of intersection of 3x − y = 4 and x + y = 8 is

  • 4)

    The slope of the line which is perpendicular to line joining the points (0, 0) and (–8, 8) is

  • 5)

    If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is

10th Standard Mathematics Geometry English Medium Free Online Test 1 Mark Questions 2020-2021 - by Indumathi - Namakkal - View & Read

  • 1)

    In \(\angle\)LMN, \(\angle\)L=60o,\(\angle\)M=50o, If \(\triangle\)LMN~\(\triangle\)PQR then the value of \(\angle\)R is

  • 2)

    In a given figure ST||QR,PS=2cm and SQ=3 cm.
    Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is 

  • 3)

    if \(\triangle\)ABC, DE||BC, AB=3.6cm, AC=24 cm and AD=2.1 cm then the length of AE is

  • 4)

    In the adjacent figure \(\angle BAC\)=90o nd AD\(\bot \)BC then 

  • 5)

    In the given figure PR=26 cm, QR=24cm,\(\angle PAQ\) =90o, PA==6cm and QA=8 cm Find \(\angle\)PQR

10th Standard Mathematics Algebra English Medium Free Online Test 1 Mark Questions 2020-2021 - by Indumathi - Namakkal - View & Read

  • 1)

    A system of three linear equations in three variables is inconsistent if their planes

  • 2)

    If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 then the value of k is

  • 3)

    y2 + \(\frac {1}{y^{2}}\) is not equal to

  • 4)

    The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to

  • 5)

    The solution of (2x - 1)2 = 9 is equal to

10th Standard Mathematics Numbers and Sequences English Medium Free Online Test 1 Mark Questions 2020-2021 - by Indumathi - Namakkal - View & Read

  • 1)

    Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

  • 2)

    The sum of the exponents of the prime factors in the prime factorization of 1729 is

  • 3)

    74k \(\equiv \) ________ (mod 100)

  • 4)

    The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.

  • 5)

    An A.P. consists of 31 terms. If its 16th term is m, then the sum of all the terms of this A.P. is

10th Standard Mathematics Relations and Functions English Medium Free Online Test 1 Mark Questions 2020-2021 - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following statement is true..

  • 3)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

  • 4)

    Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined from A to B is

  • 5)

    Let A={1,2,3,4} and B={4,8,9,10}. A function f: A ⟶ B given by f={(1,4), (2,8), (3,9), (4,10)} is a

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions with Answer Key Part - 3 - by Indumathi - Namakkal - View & Read

  • 1)

    The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\cfrac { 9c }{ 5 } +32\) is :

  • 2)

    If f is identify function, then the value of f(1)-2f(2)+f(3) is: 

  • 3)

    44≡8 (mod12), 113≡85 (mod 12),thus 44X113≡______(mod 12):

  • 4)

    The first term of an A,P.whose 8th and 12th terms are 39 and 59 respectively is :

  • 5)

    In an A.P if the pth term is q and the qth term is p, then its nth term is

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions with Answer Key Part - 2 - by Indumathi - Namakkal - View & Read

  • 1)

    If f(x)=x+1 then f(f(f(y+2)) is :

  • 2)

    If f is constant function of value \(\cfrac { 1 }{ 10 } \), the value of f(1)+f(2)+...+f(100) is:

  • 3)

    The first term of an A,P.whose 8th and 12th terms are 39 and 59 respectively is :

  • 4)

    In an A.P if the pth term is q and the qth term is p, then its nth term is

  • 5)

    Graphically an infinite number of solutions represents

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions with Answer Key Part - 1 - by Indumathi - Namakkal - View & Read

  • 1)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

  • 2)

    If f is constant function of value \(\cfrac { 1 }{ 10 } \), the value of f(1)+f(2)+...+f(100) is:

  • 3)

    If m and n are the two positive integers then m2 and n2 are

  • 4)

    The first term of an A,P.whose 8th and 12th terms are 39 and 59 respectively is :

  • 5)

    If p,q,r,x,y,z are in A.P, then 5p+3,5r+3,5x+3,5y+3,5z+3 form 

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions Part - Three - by Indumathi - Namakkal - View & Read

  • 1)

    A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

  • 2)

    If \(\\ \\ (x)=\cfrac { x+1 }{ x-2 } ,g(x)=\cfrac { 1+2x }{ x-1 } \) then f og(x) is :

  • 3)

    44≡8 (mod12), 113≡85 (mod 12),thus 44X113≡______(mod 12):

  • 4)

    In an A.P if the pth term is q and the qth term is p, then its nth term is

  • 5)

    Graphically an infinite number of solutions represents

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions Part - Two - by Indumathi - Namakkal - View & Read

  • 1)

    If f(x)=x+1 then f(f(f(y+2)) is :

  • 2)

    If f is identify function, then the value of f(1)-2f(2)+f(3) is: 

  • 3)

    In the arithemetic series Sn=k+2k+3k+...+100, k is positive integer and k is a factor 100 then Sn is:

  • 4)

    In an A.P if the pth term is q and the qth term is p, then its nth term is

  • 5)

    Which of the following is correct
    (i) Every polynomial has finite number of multiples
    (ii) LCM of two polynimials of degree 2 may be a constant
    (iii) HCF of 2 polynomials may be constant
    (iv) Degree of HCF of two polynomials is always less then degree of LCM

10th Standard Mathematics English Medium Free Online Test Creative 1 Mark Questions Part - One - by Indumathi - Namakkal - View & Read

  • 1)

    A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

  • 2)

    if f(x)+f(1-x)=2 then \(f\left( \cfrac { 1 }{ 2 } \right) \) is

  • 3)

    The difference between the remainders when 6002 and 601 are divided by 6 is:

  • 4)

    a boy saves Rs1 on the first day Rs2 on the second day, Rs4 on the third day and so on.How much did the boy will save upto 20 days?

  • 5)

    The HCF of two polynomials p(x) and q(x) is 2x(x+2) and LCM is 24x(x+2)2 (x-2) if p(x)=8x3+32x2+32x, then q(x)

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions with Answer Key Part - 3 - by Indumathi - Namakkal - View & Read

  • 1)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 2)

    Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined from A to B is

  • 3)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 4)

    Given F1 = 1, F2 = 3 and Fn = Fn-1+Fn-2 then F5 is

  • 5)

    The solution of the system x + y − 3x = −6, −7y + 7z = 7 , 3z = 9 is

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions with Answer Key Part - 2 - by Indumathi - Namakkal - View & Read

  • 1)

    If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

  • 2)

    If g={(1,1), (2,3), (3,5), (4,7)} is a function givrn by g(x)=αx+β then the values of α and β are

  • 3)

    The sum of the exponents of the prime factors in the prime factorization of 1729 is

  • 4)

    If 6 times of 6th term of an A.P. is equal to 7 times the 7th term, then the 13th term of the A.P. is

  • 5)

    The value of (13+23+33+...153) - (1+2+3+...+15)is 

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions with Answer Key Part - 1 - by Indumathi - Namakkal - View & Read

  • 1)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 2)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 3)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

  • 4)

    The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is

  • 5)

    A system of three linear equations in three variables is inconsistent if their planes

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - Three - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined from A to B is

  • 3)

    Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

  • 4)

    If A = 265 and B = 264+263+262+...+20 Which of the following is true?

  • 5)

    Which of the following should be added to make x4 + 64 a perfect square

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - Two - by Indumathi - Namakkal - View & Read

  • 1)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

  • 2)

    f(x) = (x+1)3 - (x-1)3 represents a function which is

  • 3)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

  • 4)

    The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is

  • 5)

    \(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives

10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - One - by Indumathi - Namakkal - View & Read

  • 1)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 2)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

  • 3)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

  • 4)

    In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?

  • 5)

    \(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 10 - by Indumathi - Namakkal - View & Read

  • 1)

    If {(a,8),(6,b)}represents an identity function, then the value of a and b are respectively

  • 2)

    \((x-\cfrac { 1 }{ x } )={ x }^{ 2 }+\cfrac { 1 }{ { x }^{ 2 } } \) then f(x)=

  • 3)

    If \(\\ \\ (x)=\cfrac { x+1 }{ x-2 } ,g(x)=\cfrac { 1+2x }{ x-1 } \) then f og(x) is :

  • 4)

    Given F1 = 1, F2 = 3 and Fn = Fn-1+Fn-2 then F5 is

  • 5)

    Given a1=-1, \(a=\cfrac { { a }_{ n } }{ n+2 } \),then a4 is :

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 9 - by Indumathi - Namakkal - View & Read

  • 1)

    If f: A ⟶ B is a bijective function and if n(B) =8, then n(A) is equal to

  • 2)

    The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\cfrac { 9c }{ 5 } +32\) is :

  • 3)

    If A = 265 and B = 264+263+262+...+20 Which of the following is true?

  • 4)

    If 3 is the least prime factor of number and 7 is least prime factor of b, then the least prime factor a+b is

  • 5)

    a boy saves Rs1 on the first day Rs2 on the second day, Rs4 on the third day and so on.How much did the boy will save upto 20 days?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 8 - by Indumathi - Namakkal - View & Read

  • 1)

    If f: A ⟶ B is a bijective function and if n(B) =8, then n(A) is equal to

  • 2)

    If(x)=mx+n,when m and n are integers f(-2)=7, and f(3)=2 then m and n are equal to :

  • 3)

    If \(\\ \\ (x)=\cfrac { x+1 }{ x-2 } ,g(x)=\cfrac { 1+2x }{ x-1 } \) then f og(x) is :

  • 4)

    The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.

  • 5)

    The first term of an A,P.whose 8th and 12th terms are 39 and 59 respectively is :

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 7 - by Indumathi - Namakkal - View & Read

  • 1)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 2)

    A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

  • 3)

    if f(x)+f(1-x)=2 then \(f\left( \cfrac { 1 }{ 2 } \right) \) is

  • 4)

    Given F1 = 1, F2 = 3 and Fn = Fn-1+Fn-2 then F5 is

  • 5)

    The difference between the remainders when 6002 and 601 are divided by 6 is:

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 6 - by Indumathi - Namakkal - View & Read

  • 1)

    Let f and g be two functions given by
    f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
    g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

  • 2)

    The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\cfrac { 9c }{ 5 } +32\) is :

  • 3)

    An A.P. consists of 31 terms. If its 16th term is m, then the sum of all the terms of this A.P. is

  • 4)

    The difference between the remainders when 6002 and 601 are divided by 6 is:

  • 5)

    Sum of first n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +...\) is 

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 5 - by Indumathi - Namakkal - View & Read

  • 1)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 2)

    If \(f(x)=\cfrac { 1 }{ x } \), and \(g(x)=\cfrac { 1 }{ { x }^{ 3 } } \) then fogo(y),is:

  • 3)

    In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?

  • 4)

    The difference between the remainders when 6002 and 601 are divided by 6 is:

  • 5)

    a boy saves Rs1 on the first day Rs2 on the second day, Rs4 on the third day and so on.How much did the boy will save upto 20 days?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 4 - by Indumathi - Namakkal - View & Read

  • 1)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

  • 2)

    If f is constant function of value \(\cfrac { 1 }{ 10 } \), the value of f(1)+f(2)+...+f(100) is:

  • 3)

    The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is

  • 4)

    The first term of an A,P.whose 8th and 12th terms are 39 and 59 respectively is :

  • 5)

    Which of the following should be added to make x4 + 64 a perfect square

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 3 - by Indumathi - Namakkal - View & Read

  • 1)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 2)

    If(x)=mx+n,when m and n are integers f(-2)=7, and f(3)=2 then m and n are equal to :

  • 3)

    The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.

  • 4)

    What is the HCF of the least prime and the least composite number?

  • 5)

    Sum of infinite terms of G.P is 12 and the first term is 8.what is the fourth term of the G.P?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 2 - by Indumathi - Namakkal - View & Read

  • 1)

    Let A={1,2,3,4} and B={4,8,9,10}. A function f: A ⟶ B given by f={(1,4), (2,8), (3,9), (4,10)} is a

  • 2)

    A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

  • 3)

    If f is identify function, then the value of f(1)-2f(2)+f(3) is: 

  • 4)

    The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.

  • 5)

    A square is drawn by joinintg the mid points of the sides of a given square in the same way and this process continues indefinitely. If the side of the first square is 4 cm, then the sum of the area of all the squares is:

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 1 - by Indumathi - Namakkal - View & Read

  • 1)

    Let f and g be two functions given by
    f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
    g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

  • 2)

    If(x)=mx+n,when m and n are integers f(-2)=7, and f(3)=2 then m and n are equal to :

  • 3)

    74k \(\equiv \) ________ (mod 100)

  • 4)

    If a and b are the two positive intergs when a>b and b is a factor of a then HCF (a,b) is:

  • 5)

    Sum of infinite terms of G.P is 12 and the first term is 8.what is the fourth term of the G.P?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Ten - by Indumathi - Namakkal - View & Read

  • 1)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

  • 2)

    If functionf:N⟶N,f(x)=2x then the function is, then the function is

  • 3)

    If f is identify function, then the value of f(1)-2f(2)+f(3) is: 

  • 4)

    The sum of the exponents of the prime factors in the prime factorization of 1729 is

  • 5)

    The value of (13+23+33+...153) - (1+2+3+...+15)is 

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Nine - by Indumathi - Namakkal - View & Read

  • 1)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

  • 2)

    f(x) = (x+1)3 - (x-1)3 represents a function which is

  • 3)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

  • 4)

    If f is constant function of value \(\cfrac { 1 }{ 10 } \), the value of f(1)+f(2)+...+f(100) is:

  • 5)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Eight - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    f(x) = (x+1)3 - (x-1)3 represents a function which is

  • 3)

    If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

  • 4)

    If f is identify function, then the value of f(1)-2f(2)+f(3) is: 

  • 5)

    Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Seven - by Indumathi - Namakkal - View & Read

  • 1)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 2)

    If g={(1,1), (2,3), (3,5), (4,7)} is a function givrn by g(x)=αx+β then the values of α and β are

  • 3)

    If(x)=mx+n,when m and n are integers f(-2)=7, and f(3)=2 then m and n are equal to :

  • 4)

    The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is

  • 5)

    If the sequence t1,t2,t3...are in A.P. then the sequence t6,t12,t18,....is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Six - by Indumathi - Namakkal - View & Read

  • 1)

    If f: A ⟶ B is a bijective function and if n(B) =8, then n(A) is equal to

  • 2)

    Let f and g be two functions given by
    f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
    g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

  • 3)

    If f(x)=x+1 then f(f(f(y+2)) is :

  • 4)

    In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?

  • 5)

    If A = 265 and B = 264+263+262+...+20 Which of the following is true?

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Five - by Indumathi - Namakkal - View & Read

  • 1)

    Let A={1,2,3,4} and B={4,8,9,10}. A function f: A ⟶ B given by f={(1,4), (2,8), (3,9), (4,10)} is a

  • 2)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

  • 3)

    If functionf:N⟶N,f(x)=2x then the function is, then the function is

  • 4)

    If 6 times of 6th term of an A.P. is equal to 7 times the 7th term, then the 13th term of the A.P. is

  • 5)

    An A.P. consists of 31 terms. If its 16th term is m, then the sum of all the terms of this A.P. is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Four - by Indumathi - Namakkal - View & Read

  • 1)

    Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined from A to B is

  • 2)

    If {(a,8),(6,b)}represents an identity function, then the value of a and b are respectively

  • 3)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

  • 4)

    Given F1 = 1, F2 = 3 and Fn = Fn-1+Fn-2 then F5 is

  • 5)

    The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Three - by Indumathi - Namakkal - View & Read

  • 1)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

  • 2)

    If the ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is

  • 3)

    A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

  • 4)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

  • 5)

    74k \(\equiv \) ________ (mod 100)

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Two - by Indumathi - Namakkal - View & Read

  • 1)

    If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following statement is true..

  • 2)

    If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

  • 3)

    \((x-\cfrac { 1 }{ x } )={ x }^{ 2 }+\cfrac { 1 }{ { x }^{ 2 } } \) then f(x)=

  • 4)

    If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is

  • 5)

    The sum of the exponents of the prime factors in the prime factorization of 1729 is

10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - One - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 3)

    If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

  • 4)

    Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy

  • 5)

    Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

10th Standard Maths English Medium Model Question Paper Part - V - by Indumathi - Namakkal - View & Read

  • 1)

    If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following statement is true..

  • 2)

    Let A={1,2,3,4} and B={4,8,9,10}. A function f: A ⟶ B given by f={(1,4), (2,8), (3,9), (4,10)} is a

  • 3)

    The value of (13+23+33+...153) - (1+2+3+...+15)is 

  • 4)

    How many terms are there in the G.P::5,20,80,320,...,20480:

  • 5)

    Graph of a linear polynomial is a

10th Standard Maths English Medium Model Question Paper Part - IV - by Indumathi - Namakkal - View & Read

  • 1)

    If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following statement is true..

  • 2)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

  • 3)

    If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is

  • 4)

    The sum of first n terms of the series a,3a,5a...is :

  • 5)

    Find the matrix X if 2X + \(\left( \begin{matrix} 1 & 3 \\ 5 & 7 \end{matrix} \right) =\left( \begin{matrix} 5 & 7 \\ 9 & 5 \end{matrix} \right) \)

10th Standard Maths English Medium Model Question Paper Part - III - by Indumathi - Namakkal - View & Read

  • 1)

    If the ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is

  • 2)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

  • 3)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

  • 4)

    If pth,qth and rth terms of an A.P.are a,bc respestively, then(a(q-r)+b(r-p)+c(p-q)is:

  • 5)

    If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 then the value of k is

10th Standard Maths English Medium Model Question Paper Part - II - by Indumathi - Namakkal - View & Read

  • 1)

    If f: A ⟶ B is a bijective function and if n(B) =8, then n(A) is equal to

  • 2)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 3)

    The value of (13+23+33+...153) - (1+2+3+...+15)is 

  • 4)

    Sum of first n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +...\) is 

  • 5)

    The number of points of intersection of the quadratic polynomial x2 + 4x + 4 with the X axis is

10th Standard Maths English Medium Important 8 Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    Draw the graph of y = x2 + 4x + 3 and hence find the roots of x2 + x + 1 = 0

  • 2)

    Graph the following quadratic equations and state their nature of solutions.
    x2 - 9x + 20 = 0

  • 3)

    Draw the graph of y = x2 - 4 and hence solve x2 - x - 12 = 0

  • 4)

    Draw the graph of y = x2 - 4 and hence solve x2 + 1 = 0

  • 5)

    Draw the graph of y = 2x2 - 3x - 5 and hence solve 2x2 - 4x - 6 = 0

10th Standard Maths English Medium Creative Important 5 Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

    find 2f(-4) + 3f(2)

  • 2)

    A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

    f(-7) -f(-3)

  • 3)

    f(x) = (1+ x)
    g(x) = (2x-1)
    Show that fo(g(x)) = gof(x)

  • 4)

    A functionf: (1,6) \(\rightarrow\)R is defined as follows:

    Find the value of f(5),

  • 5)

    If R = {(a, -2), (-5, b), (8, c), (d, -1)} represents the identity function, find the values of a, b, c and 

10th Standard Maths English Medium Book back Important 5 Marks Questions  - by Indumathi - Namakkal - View & Read

  • 1)

    Let A = {x \(\in \) N| 1 < x < 4}, B={x \(\in \) W| 0 ≤ x < 2) and C={x \(\in \) N| x < 3} Then verify that
    (i) A x (B U C) = (A x B) U (A x C)
    (ii) A x (B ∩ C) = (A x B) ∩ (A x C)

  • 2)

    Given A={1,2,3}, B = {2,3,5}, C = {3,4} and D = {1,3,5}, check if (A ∩ C) x (B ∩ D) =(A x B) ∩ (C x D) is true?

  • 3)

    Forensic scientists can determine the height (in cms) of a person based on the length of their thigh bone. They usually do so using the function h(b)=2.47b+54.10 where b is the length of the thigh bone.
    (i) Verify the function h is one – one or not.
    (ii) Also find the height of a person if the length of his thigh bone is 50 cms.
    (iii) Find the length of the thigh bone if the height of a person is 14796 cms.

  • 4)

    If the function f: R⟶ R defined by 

    (i) f(4)
    (ii) f(-2)
    (iii) f(4)+2f(1)
    (iv) \(\frac { f(1)-3f(4) }{ f(-3) } \)

  • 5)

    Find the domain of the function f(x) = \(\sqrt { 1+\sqrt { 1-\sqrt { 1-x^{ 2 } } } } \).

10th Standard Maths English Medium Book back Important 2 Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
    R1={(3,7), (4,7), (7,10), (8,1)}

  • 2)

    Let f{(x,y)| x,y\(\in \) N and y=2x}. be a relation on ℕ. Find the domain, co-domain and range. Is this relation a function?

  • 3)

    Using horizontal line test (Fig.1.35(a), 1.35(b), 1.35(c)), determine which of the following functions are one – one.

  • 4)

    If f(x)=3x-2, g(x)=2x+k and if f o g = f o f, then find the value of k..

  • 5)

    Find the value of k, such that f o g = g o f
    (i) f(x) =x+2, g(x)=6x-k

10th Standard Maths English Medium Creative Important 2 Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    LetA= {1,2, 3, 4} and B = {-1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Let R = {(1, 3), (2, 6), (3, 10), (4, 9)} \(\subseteq \) A x B bea relation. Show that R is a function and find its domain, co-domain and the range of R.

  • 2)

    Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Letf: A \(\rightarrow\)B be a function given by  f(x) = 2x + 1. Represent this function as  a set of ordered pairs.

  • 3)

    State whether the graph represent a function. Use vertical line test.

  • 4)

    Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Letf: A \(\rightarrow\)B be a function given by  f(x) = 2x + 1. Represent this function as  a table .

  • 5)

    Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Letf: A \(\rightarrow\)B be a function given by  f(x) = 2x + 1. Represent this function as an arrow .

10th Standard Maths English Medium Creative Important 1 Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

  • 2)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

  • 3)

    The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\cfrac { 9c }{ 5 } +32\) is :

  • 4)

    If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

  • 5)

    If(x)=2-3x, then f of(1-x)=?

10th Standard Maths English Medium Book back Important 1 Mark Questions - by Indumathi - Namakkal - View & Read

  • 1)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 2)

    If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

  • 3)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

  • 4)

    Let A={1,2,3,4} and B={4,8,9,10}. A function f: A ⟶ B given by f={(1,4), (2,8), (3,9), (4,10)} is a

  • 5)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

10th Standard Maths English Medium Model Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    If f: A ⟶ B is a bijective function and if n(B) =8, then n(A) is equal to

  • 2)

    Let f and g be two functions given by
    f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
    g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

  • 3)

    74k \(\equiv \) ________ (mod 100)

  • 4)

    The difference between the remainders when 6002 and 601 are divided by 6 is:

  • 5)

    A system of three linear equations in three variables is inconsistent if their planes

10th Standard Maths English Medium Public Exam Model Question Paper  - II July 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

  • 2)

    If the ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is

  • 3)

    74k \(\equiv \) ________ (mod 100)

  • 4)

    The difference between the remainders when 6002 and 601 are divided by 6 is:

  • 5)

    If number of columns and rows are not equal in a matrix then it is said to be a

10th Standard Maths English Medium Public Exam Model Question Paper - II June 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 2)

    f(x) = (x+1)3 - (x-1)3 represents a function which is

  • 3)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

  • 4)

    How many terms are there in the G.P::5,20,80,320,...,20480:

  • 5)

    Which of the following should be added to make x4 + 64 a perfect square

10th Standard Maths English Medium Public Exam Model Question Paper July 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If the ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is

  • 2)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

  • 3)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

  • 4)

    If(x)=mx+n,when m and n are integers f(-2)=7, and f(3)=2 then m and n are equal to :

  • 5)

    If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

10th Standard Maths English Medium Public Exam Model Question Paper June 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    Let A={1,2,3,4} and B={4,8,9,10}. A function f: A ⟶ B given by f={(1,4), (2,8), (3,9), (4,10)} is a

  • 2)

    If g={(1,1), (2,3), (3,5), (4,7)} is a function givrn by g(x)=αx+β then the values of α and β are

  • 3)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

  • 4)

    If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

  • 5)

    If(x)=2-3x, then f of(1-x)=?

10th Standard Maths (English Medium) Important Questions Bookback and Creative - by 10th maths English Medium - New syllabus 2019 - View & Read

10th Standard Maths (English Medium) Imporant Questions - by 10th maths English Medium - New syllabus 2019 - View & Read

10th Standard Maths (English Medium) Model Question Paper - by 10th maths English Medium - New syllabus 2019 - View & Read

10th standard Maths One Mark important Questions Book back and Creative - 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

  • 2)

    Let f and g be two functions given by
    f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
    g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

  • 3)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 4)

    If g={(1,1), (2,3), (3,5), (4,7)} is a function givrn by g(x)=αx+β then the values of α and β are

  • 5)

    f(x) = (x+1)3 - (x-1)3 represents a function which is

10th Standard Mathematics English Medium All Chapter Book Back and Creative One Marks Questions 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If {(a,8),(6,b)}represents an identity function, then the value of a and b are respectively

  • 2)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 3)

    The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\cfrac { 9c }{ 5 } +32\) is :

  • 4)

    If f is constant function of value \(\cfrac { 1 }{ 10 } \), the value of f(1)+f(2)+...+f(100) is:

  • 5)

    If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is

10th Standard Mathematics English Medium All Chapter Book Back and Creative Two Marks Questions 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    In electrical circuit theory, a circuit C(t) is called a linear circuit if it satisfies the superposition principle given by C(at1+ bt2) = aC(t1) + bC(t2)  where a,b are constants. Show that the circuit C(t) = 3t is linear.

  • 2)

    Let A={9,10,11,12,13,14,15,16,17} and let f: A ⟶ N be defined f(n) = the highest prime factor of n \(\in \) A. Write f as a set of ordered pairs and find the range of f.

  • 3)

    State whether the graph represent a function. Use vertical line test.

  • 4)

    Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Letf: A \(\rightarrow\)B be a function given by  f(x) = 2x + 1. Represent this function as  a table .

  • 5)

    Find the next three terms of the sequences.
    1,0.1,0.01,...

10th Standard Mathematics English Medium All Chapter Book Back and Creative Five Marks Questions 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    Let f be a function f:N ⟶ N be defined by f(x) = 3x+2, x\(\in \)N
    (i) Find the images of 1, 2, 3
    (ii) Find the pre-images of 29, 53
    (iii) Identify the type of function

  • 2)

    A function f: [-5,9] ⟶ R is defined as follows:

    Find
    i. f(-3)+f(2)
    ii. f(7)-f(1)
    iii. 2f(4)+f(8)
    iv. \(\frac { 2f(-2)-f(6) }{ f(4)+f(-2) } \\ \)

  • 3)

    A functionf: (1,6) \(\rightarrow\)R is defined as follows:

    Find the value of f(5),

  • 4)

    If R = {(a, -2), (-5, b), (8, c), (d, -1)} represents the identity function, find the values of a, b, c and 

  • 5)

    Find the sum to n terms of the series
    3 +33 + 333 + ...to n terms

10th Standard Mathematics English Medium All Chapter Book Back and Creative Eight Marks Questions 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    Draw the graph of y = x2 + x - 2 and hence solve x2 + x - 2 = 0

  • 2)

    Graph the following quadratic equations and state their nature of solutions.
    x2 - 4x + 4 = 0

  • 3)

    Draw a triangle ABC of base BC = 5.6 cm, \(\angle\)A=40o and the bisector of \(\angle\)A meets BC at D such that CD = 4 cm.

  • 4)

    Draw a circle of radius 4 cm. At a point L on it draw a tangent to the circle using the alternate segment.

10th Standard Mathematics All Chapter Creative Questions-I-2019-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If \(f(x)=\cfrac { 1 }{ x } \), and \(g(x)=\cfrac { 1 }{ { x }^{ 3 } } \) then fogo(y),is:

  • 2)

    Given a1=-1, \(a=\cfrac { { a }_{ n } }{ n+2 } \),then a4 is :

  • 3)

    The square root of 4m2-24m+36 is 

  • 4)

    In figure \(\angle OAB={ 60 }^{ o }\) and OA=6cm then radius of the circle is  

  • 5)

    Two concentric circles if radill a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is

10th Standard Mathematics All Chapter Creative Questions-I-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If \(\\ \\ (x)=\cfrac { x+1 }{ x-2 } ,g(x)=\cfrac { 1+2x }{ x-1 } \) then f og(x) is :

  • 2)

    Sum of infinite terms of G.P is 12 and the first term is 8.what is the fourth term of the G.P?

  • 3)

    Choose the correct answer
    (i) Every scalar matrix is an identity matrix
    (ii) Every identity matrix is a scalar matrix
    (iii) Every diagonal matrix is an identity matrix
    (iv) Every null matrix is a scalar matrix

  • 4)

    Two concentric circles if radill a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is

  • 5)

    Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two if the sides of the triangle are 2cm,3cm and 4 cm. find the diameter of the smallest circle.

10th Standard Mathematics All Chapter Important Creative  Questions-I- 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

  • 2)

    44≡8 (mod12), 113≡85 (mod 12),thus 44X113≡______(mod 12):

  • 3)

    The real roots of the quardractic equation x2-x-1 are

  • 4)

    If the angle between two radil of a circle is o, the angle between the tangents at the end of the radii is

  • 5)

    Two concentric circles if radill a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is

10th Standard Mathematics All Chapter Important Creative  Questions-I- 2019-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If functionf:N⟶N,f(x)=2x then the function is, then the function is

  • 2)

    The difference between the remainders when 6002 and 601 are divided by 6 is:

  • 3)

    The parabola y=-3x2 is

  • 4)

    If triangle PQR is similar to triangle LMN such that 4PQ=LM and QR=6 cm then MN is equal to :

  • 5)

    If ABC is a triangle and AD bisects ረA ,AB=4cm,BD=6cm,DC=8cm then the value of AC is 

10th Standard Mathematics All Chapter Creative Questions-II-2019-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

  • 2)

    In the arithemetic series Sn=k+2k+3k+...+100, k is positive integer and k is a factor 100 then Sn is:

  • 3)

    If \(A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{matrix} \right] _{ 3\times 2 }\) \(B=\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{matrix} \right] _{ 2\times 3 }\) then which of the following products can be made from these matrices 
    (i) A2
    (ii) B2
    (iii) AB
    (iv) BA

  • 4)

    In the given figure if OC=9 cm and OB=15 cm then OB+BD is equal to

  • 5)

    Two concentric circles if radill a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is

10th Standard Mathematics All Chapter Creative Questions-II-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\cfrac { 9c }{ 5 } +32\) is :

  • 2)

    44≡8 (mod12), 113≡85 (mod 12),thus 44X113≡______(mod 12):

  • 3)

    Graphically an infinite number of solutions represents

  • 4)

    The perimeter of a right triangle is 36 cm. Its hypotenuse is 15 cm, then the area of the traiangle is

  • 5)

    In figure \(\angle OAB={ 60 }^{ o }\) and OA=6cm then radius of the circle is  

10th Standard Mathematic All Chapter Important Creative Questions-II- 2019-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If \(\\ \\ (x)=\cfrac { x+1 }{ x-2 } ,g(x)=\cfrac { 1+2x }{ x-1 } \) then f og(x) is :

  • 2)

    If p,q,r,x,y,z are in A.P, then 5p+3,5r+3,5x+3,5y+3,5z+3 form 

  • 3)

    Which of the following is correct
    (i) Every polynomial has finite number of multiples
    (ii) LCM of two polynimials of degree 2 may be a constant
    (iii) HCF of 2 polynomials may be constant
    (iv) Degree of HCF of two polynomials is always less then degree of LCM

  • 4)

    If triangle PQR is similar to triangle LMN such that 4PQ=LM and QR=6 cm then MN is equal to :

  • 5)

    Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two if the sides of the triangle are 2cm,3cm and 4 cm. find the diameter of the smallest circle.

10th Standard Mathematics All Chapter Important Creative Questions-II-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If(x)=2-3x, then f of(1-x)=?

  • 2)

    How many terms are there in the G.P::5,20,80,320,...,20480:

  • 3)

    Which of the following are linear equation in three variables

  • 4)

    If triangle PQR is similar to triangle LMN such that 4PQ=LM and QR=6 cm then MN is equal to :

  • 5)

    The ratoi of the areas of two similar triangles is equal to

10th Standard Mathematics Creative Test Model - by Indumathi - Namakkal - View & Read

  • 1)

    The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\cfrac { 9c }{ 5 } +32\) is :

  • 2)

    Sum of first n terms of the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +...\) is 

  • 3)

    If \(2A+3B=\left[ \begin{matrix} 2 & -1 & 4 \\ 3 & 2 & 5 \end{matrix} \right] \) and \(A+2B=\left[ \begin{matrix} 5 & 0 & 3 \\ 1 & 6 & 2 \end{matrix} \right] \) then B=[hint:B=(A+2B)-(2+3B)]

  • 4)

    The ratoi of the areas of two similar triangles is equal to

  • 5)

    Two concentric circles if radill a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is

10th Standard Mathematics Book Back and Important Questions-II-2019-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    f(x) = (x+1)3 - (x-1)3 represents a function which is

  • 3)

    \((x-\cfrac { 1 }{ x } )={ x }^{ 2 }+\cfrac { 1 }{ { x }^{ 2 } } \) then f(x)=

  • 4)

    A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

  • 5)

    If functionf:N⟶N,f(x)=2x then the function is, then the function is

10th Standard Mathematics Book Back and Important Questions-I-2019-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If {(a,8),(6,b)}represents an identity function, then the value of a and b are respectively

  • 2)

    Let A={1,2,3,4} and B={4,8,9,10}. A function f: A ⟶ B given by f={(1,4), (2,8), (3,9), (4,10)} is a

  • 3)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

  • 4)

    If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

  • 5)

    If \(f(x)=\cfrac { 1 }{ x } \), and \(g(x)=\cfrac { 1 }{ { x }^{ 3 } } \) then fogo(y),is:

10th Standard Mathematics Book back and Creative Important Questions-II- 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined from A to B is

  • 2)

    If g={(1,1), (2,3), (3,5), (4,7)} is a function givrn by g(x)=αx+β then the values of α and β are

  • 3)

    If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

  • 4)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

  • 5)

    The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\cfrac { 9c }{ 5 } +32\) is :

10th Standard Mathematics Book back and Creative Important Questions-I- 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

  • 2)

    If the ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is

  • 3)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

  • 4)

    If f(x)=x+1 then f(f(f(y+2)) is :

  • 5)

    If(x)=2-3x, then f of(1-x)=?

10th Standard Mathematics Questions -II- 2019-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    If g={(1,1), (2,3), (3,5), (4,7)} is a function givrn by g(x)=αx+β then the values of α and β are

  • 3)

    The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\cfrac { 9c }{ 5 } +32\) is :

  • 4)

    If \(f(x)=\cfrac { 1 }{ x } \), and \(g(x)=\cfrac { 1 }{ { x }^{ 3 } } \) then fogo(y),is:

  • 5)

    if f(x)+f(1-x)=2 then \(f\left( \cfrac { 1 }{ 2 } \right) \) is

10th Standard Mathematics Questions -I- 2019-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    Let A={1,2,3,4} and B={4,8,9,10}. A function f: A ⟶ B given by f={(1,4), (2,8), (3,9), (4,10)} is a

  • 2)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

  • 3)

    If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

  • 4)

    A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

  • 5)

    If functionf:N⟶N,f(x)=2x then the function is, then the function is

10th Standard Mathematics Important Question All Chapter Questions -II- 2019-2020 - by Indumathi - Namakkal - View & Read

  • 1)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

  • 2)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 3)

    If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

  • 4)

    If functionf:N⟶N,f(x)=2x then the function is, then the function is

  • 5)

    If(x)=2-3x, then f of(1-x)=?

10th Standard Mathematics Important Question All Chapter-I- 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined from A to B is

  • 2)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 3)

    If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

  • 4)

    \((x-\cfrac { 1 }{ x } )={ x }^{ 2 }+\cfrac { 1 }{ { x }^{ 2 } } \) then f(x)=

  • 5)

    If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

10th Standard Maths Important Questions - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    If {(a,8),(6,b)}represents an identity function, then the value of a and b are respectively

  • 3)

    If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

  • 4)

    The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C \(t(C)=\cfrac { 9c }{ 5 } +32\) is :

  • 5)

    If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

10th Maths - Full Portion Eight Marks Question Paper - by 8682895000 - View & Read

  • 1)

    Let A={1,2} and B={1,2,3,4}, C={5,6} and D={5,6,7,8}, Verify whether A x C is a subset of B x D?

  • 2)

    A functionf: (1,6) \(\rightarrow\)R is defined as follows:

    Find the value of f(2) - f( 4).

  • 3)

    Show that 107 is of the form 4q +3 for any integer q.

  • 4)

    Discuss the nature of solutions of the following quadratic equations.x2 + 2x + 5 = 0

  • 5)

    Graph the following quadratic equations and state their nature of solutions.
    x2 - 9 = 0

10th Maths - Full Portion Five Marks Question Paper - by 8682895000 - View & Read

  • 1)

    Represent each of the given relations by (a) an arrow diagram, (b) a graph and (c) a set in roster form, wherever possible.
    i. {(x,y)|x = 2y, x \(\in \) {2,3,4,5}, y \(\in \){1,2,3,4}
    ii. {(x,y)|y = x+3, x, y are natural numbers < 10}.

  • 2)

    An open box is to be made from a square piece of material, 24 cm on a side, by cutting equal squares from the corners and turning up the sides as shown Fig. Express the volume V of the box as a function of x.

  • 3)

    A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

    f(-7) -f(-3)

  • 4)

    A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

    \(\cfrac { 4f(-3)+2f(4) }{ f(-6)-3f(1) } \)

  • 5)

    Let A = {1, 2, 3, 4, 5}, B = N and f: A \(\rightarrow\)B be defined by f(x) = x2. Find the range of f. Identify the type of function.

10th Maths - Full Portion Two Marks Question Paper - by 8682895000 - View & Read

  • 1)

    If A x B = {(3,2), (3,4), (5,2), (5,4)} then find A and B.

  • 2)

    The arrow diagram shows a relationship between the sets P and Q. Write the relation in (i) Set builder form (ii) Roster form (iii) What is the domain and range of R.

  • 3)

    A plane is flying at a speed of 500 km per hour. Express the distance d travelled by the plane as function of time t in hours.

  • 4)

    If f(x)=3x-2, g(x)=2x+k and if f o g = f o f, then find the value of k..

  • 5)

    State whether the graph represent a function. Use vertical line test.

10th Maths - Revision Model Question Paper 2 - by Indumathi - Namakkal - View & Read

  • 1)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 2)

    Let f and g be two functions given by
    f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
    g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

  • 3)

    If A = 265 and B = 264+263+262+...+20 Which of the following is true?

  • 4)

    For the given matrix A = \(\left( \begin{matrix} 1 \\ 2 \\ 9 \end{matrix}\begin{matrix} 3 \\ 4 \\ 11 \end{matrix}\begin{matrix} 5 \\ 6 \\ 13 \end{matrix}\begin{matrix} 7 \\ 8 \\ 15 \end{matrix} \right) \) the order of the matrix AT is

  • 5)

    The two tangents from an external points P to a circle with centre at O are PA and PB.If \(\angle APB\)=70o then the value of \(\angle AOB\) is

10th Maths - Public Exam Model Question Paper 2019 - 2020 - by Indumathi - Namakkal - View & Read

  • 1)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 2)

    Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined from A to B is

  • 3)

    An A.P. consists of 31 terms. If its 16th term is m, then the sum of all the terms of this A.P. is

  • 4)

    For the given matrix A = \(\left( \begin{matrix} 1 \\ 2 \\ 9 \end{matrix}\begin{matrix} 3 \\ 4 \\ 11 \end{matrix}\begin{matrix} 5 \\ 6 \\ 13 \end{matrix}\begin{matrix} 7 \\ 8 \\ 15 \end{matrix} \right) \) the order of the matrix AT is

  • 5)

    If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

10th Maths - Statistics and Probability Model Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    If are event occurs surely, then its probability is 

  • 2)

    Two dice are through simultaneously the probability if getting a double is:

  • 3)

    The standard deviation is the ____ of variance 

  • 4)

    The mean of a observation x1, x2, x3, .........xn is \(\bar { x } \). If each observation is multiplied by p, there the mean of the new observations is 

  • 5)

    If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value.

10th Maths - Mensuration Model Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    The radio of base of a one 5 cm and to height 12cm. The slant height of the cone.

  • 2)

    A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?

  • 3)

    How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius cm?

  • 4)

    The volume of a frustum if a cone of height L and ends -radio and r1 and r2 is

  • 5)

    The ratio of the volumes of two cones is 2:3. Find the ratio of their radii if the height of second cone is double the height of the first.

10th Maths - Trigonometry Model Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    If sinθ-cosθ=0, then the value of (sin4θ+cos4θ) is

  • 2)

    The value of sin2θ +\(\frac { 1 }{ 1+{ tan }^{ 2 }\theta } \) of

  • 3)

    (cosec2θ-cot2θ) (1-cos2θ) is equal to 

  • 4)

    9 sec2A -9tam2A=

  • 5)

    \(1+\frac { { cot }^{ 2 }\alpha }{ 1+cosex\alpha } =cosec\alpha\)

10th Maths - Coordinate Geometry Model Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    The slope of the line which is perpendicular to line joining the points (0, 0) and (–8, 8) is

  • 2)

    A straight line has equation 8y = 4x + 21. Which of the following is true

  • 3)

    When proving that a quadrilateral is a parallelogram by using slopes you must find

  • 4)

    (2, 1) is the point of intersection of two lines.

  • 5)

    Find the value of ‘a’ for which the given points are collinear.
    (2, 3), (4, a) and (6, –3)

10th Maths - Geometry Important Questions - by Indumathi - Namakkal - View & Read

  • 1)

    If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

  • 2)

    if \(\triangle\)ABC, DE||BC, AB=3.6cm, AC=24 cm and AD=2.1 cm then the length of AE is

  • 3)

    Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

  • 4)

    In figure if PR is tangent to the circle at P and O is the centre of the circle, then \(\angle PQR\) is

  • 5)

    Is \(\triangle\)ABC~\(\triangle\)PQR?

View all

TN Stateboard Education Study Materials

TN Stateboard Updated Class 10th Maths Syllabus

Relations and Functions

Introduction - Ordered Pair - Cartesian Product - Relations - Functions - Representation of Functions - Types of functions - Special cases of Functions - Composition of Functions - Identifying the graphs of Linear, Quadratic, Cubic and Reciprocal functions

Numbers and Sequences

Introduction - Euclid’s Division Lemma - Euclid’s Division Algorithm - Fundamental Theorem of Arithmetic - Modular Arithmetic - Sequences - Arithmetic Progression - Sum to n terms of Arithmetic Progression - Geometric Progression - Sum to n terms of Geometric Progression - Special Series

Algebra

Introduction - Simultaneous Linear Equations in three variables - GCD and LCM of polynomials - Rational expressions - Square root of polynomials - Quadratic equations - Quadratic Graphs - Matrices

Geometry

Introduction - Similarity - Thales Theorem and Angle Bisector Theorem - Pythagoras Theorem - Circles and Tangents - Concurrency Theorems

Coordinate Geometry

Introduction - Area of a Triangle - Area of a Quadrilateral - Inclination of a Line - Straight Line - General form of a Straight Line

Trigonometry

Introduction - Trigonometric Identities - Heights and Distances

Mensuration

Introduction - Surface Area - Volume - Volume and Surface Area of combined solids - Conversion of solids from one shape to another with no change in volume

Statistics and Probability

Introduction - Measures of Dispersion - Coefficient of Variation - Probability - Algebra of Events - Addition Theorem of Probability

TN StateboardStudy Material - Sample Question Papers with Solutions for Class 10 Session 2019 - 2020

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