10th Standard Maths Study material & Free Online Practice Tests - View and download Sample Question Papers with Solutions for Class 10 Session 2019 - 2020 TN Stateboard

Maths Question Papers

10th Maths - Statistics and Probability Two Marks Questions - by Indumathi - Namakkal - View & Download

  • 1)

    The number of televisions sold in each day of a week are 13, 8, 4, 9, 7, 12, 10. Find its standard deviation.

  • 2)

    Find the mean and variance of the first n natural numbers.

  • 3)

    48 students were asked to write the total number of hours per week they spent on watching television. With this information find the standard deviation of hours spent for watching television.

    x 6 7 8 9 10 11 12
    f 3 6 9 13 8 5 4
  • 4)

    Marks of the students in a particular subject of a class are given below:

    Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70
    Number of students 8 12 17 14 9 7 4

    Find its standard deviation.

  • 5)

    Two coins are tossed together. What is the probability of getting different faces on the coins?

10th Maths - Mensuration Two Marks Questions - by Indumathi - Namakkal - View & Download

  • 1)

    The curved surface area of a right circular cylinder of height 14 cm is 88 cm2 . Find the diameter of the cylinder.

  • 2)

    A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden. How much area will it cover in 8 revolutions?

  • 3)

    If the total surface area of a cone of radius 7cm is 704 cm2, then find its slant height.

  • 4)

    From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and base is hollowed out (Fig.7.13). Find the total surface area of the remaining solid.

  • 5)

    The radius of a spherical balloon increases from 12 cm to 16 cm as air being pumped into it. Find the ratio of the surface area of the balloons in the two cases.

10th Maths - Trigonometry Two Marks Questions - by Indumathi - Namakkal - View & Download

  • 1)

    prove that\(\left( \frac { co{ s }^{ 3 }A-si{ n }^{ 3 }A }{ cosA-sinA } \right) -\left( \frac { co{ s }^{ 3 }A+si{ n }^{ 3 }A }{ cosA+sinA } \right) =2sinAcosA\)

  • 2)

    prove that \(\frac { sinA }{ secA+tanA-1 } +\frac { cosA }{ cosecA+cotA-1 } =1\)

  • 3)

    As observed from the top of a 60 m high light house from the sea level, the angles of depression of two ships are 28° and45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.
    (tan28°=0.5317)

  • 4)

    A man is watching a boat speeding away from the top of a tower. The boat makes an angle of depression of 60° with the man’s eye when at a distance of 200 m from the tower. After 10 seconds, the angle of depression becomes 45°. What is the approximate speed of the boat (in km / hr), assuming that it is sailing in still water?(\(\sqrt { 3 } \)=1.732)

  • 5)

    If tan A=\(\frac{3}{4}\), then sin A cos A=\(\frac{12}{15}\)

10th Maths - Coordinate Geometry Two Marks Questions - by Indumathi - Namakkal - View & Download

  • 1)

    Show that the points P(-1.5,3), Q(6,-2) , R(-3,4) are collinear.

  • 2)

    If the area of the triangle formed by the vertices A(-1,2) , B(k,-2) and C(7,4) (taken in order) is 22 sq. units, find the value of k.

  • 3)

    Find the area of the quadrilateral formed by the points (8, 6), (5, 11), (-5, 12) and (-4, 3).

  • 4)

    The given diagram shows a plan for constructing a new parking lot at a campus. It is estimated that such construction would cost Rs. 1300 per square feet. What will be the total cost for making the parking lot?

  • 5)

    Calculate the slope and y intercept of the straight line 8x − 7y + 6=0

10th Maths - Term 1 Model Question Paper - by Selvamary - Erode - View & Download

  • 1)

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

  • 2)

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

  • 3)

    Graph of a linear polynomial is a

  • 4)

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

  • 5)

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

10th Maths - Geometry Two Marks Question - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

    A boy of height 90cm is walking away from the base of a lamp post at a speed of 1.2m/sec. If the lamppost is 3.6m above the ground, find the length of his shadow cast after 4 seconds.

  • 3)

    \(\angle A=\angle CED\) prove that \(\Delta\ CAB \sim \Delta CED\) Also find the value of x.

  • 4)

    If \(\triangle\)ABC is similar to\(\triangle\)DEFsuch that BC=3 cm, EF=4 cm and area of \(\triangle\)ABC= 54 cm2. Find the area of \(\triangle\)DEF.

  • 5)

    An insect 8 m away initially from the foot of a lamp post which is 6 m tall, crawls towards it moving through a distance. If its distance from the top of the lamp post is equal to the distance it has moved, how far is the insect away from the foot of the lamp post?

10th Science - Algebra Two Marks Question - by Indumathi - Namakkal - View & Download

  • 1)

    The father’s age is six times his son’s age. Six years hence the age of father will be four times his son’s age. Find the present ages (in years) of the son and father.

  • 2)

    Find \(\frac { { x }^{ 2 }+20x+36 }{ { x }^{ 2 }-3x-28 } -\frac { { x }^{ 2 }+12x+4 }{ { x }^{ 2 }-3x-28 } \)

  • 3)

    Find the square root of 64x4 - 16x3 + 17x2 - 2x + 1

  • 4)

    If 9x4 + 12x3 + 28x2 + ax + b is a perfect square, find the values of a and b.

  • 5)

    Solve 2m2+ 19m + 30 = 0

10th Maths Unit 2 Numbers and Sequences Two Marks Question - by Indumathi - Namakkal - View & Download

  • 1)

    We have 34 cakes. Each box can hold 5 cakes only. How many boxes we need to pack and how many cakes are unpacked?

  • 2)

    Find the remainders when 70004 and 778 is divided by 7

  • 3)

    Find the number of integer solutions of 3x \(\equiv \) 1 (mod 15).

  • 4)

    Write an A.P. whose first term is 20 and common difference is 8.

  • 5)

    Find the number of terms in the A.P. 3, 6, 9, 12,…, 111.

10th Maths Chapter 1 Relations and Functions Two Marks Question - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

    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)

  • 3)

    Let X={1,2,,4} and Y={2,4,6,8,10} and R={(1,2),(2,4),(3,6),(4,8)} Show that R is a function and find its domain, co-domain and range?

  • 4)

    A relation ‘f’ is defined by f(x)=x2-2 where x\(\in \){-2,-1,0,3}
    (i) List the elements of f
    (ii) Is f a function?

  • 5)

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

10th Maths - Term 1 Five Mark Model Question Paper - by Indumathi - Namakkal - View & Download

  • 1)

    Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
    (i) R1={(3,7), (4,7), (7,10), (8,1)}
    (ii) R2= {(3,1), (4,12)}
    (iii) R3= {(3,7), (4,10), (7,7), (7,8), (8,11), (8,7), (8,10)}

  • 2)

    Let A = {1,2,3,4} and B ={2,5,8,11,14} be two sets. Let f: A ⟶ B be a function given by f(x)=3x−1. Represent this function
    (i) by arrow diagram
    (ii) in a table form
    (iii) as a set of ordered pairs
    (iv) in a graphical form

  • 3)

    The general term of a sequence is defined as 
    an = {\(\begin{matrix} n\left( n+3 \right) ;n\epsilon N\quad is\quad odd \\ { n }^{ 2 }+1;n\epsilon N\quad is\quad even \end{matrix}\)
    Find the eleventh and eighteenth terms.

  • 4)

    In an A.P. the sum of first n terms is \(\frac { { 5n }^{ 2 } }{ 2 } +\frac { 3n }{ 2 } \). Find the 17th term

  • 5)

    Find the GCD of 6x3 - 30x2 + 60x - 48 and 3x3 - 12x2 + 21x - 18.

10th Maths Quarterly Model Questions Paper - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

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

  • 3)

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

  • 4)

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

  • 5)

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

10th Standard Maths Unit 8 Statistics and Probability Book Back Questions - by Indumathi - Namakkal - View & Download

  • 1)

    Which of the following is not a measure of dispersion?

  • 2)

    The range of the data 8, 8, 8, 8, 8. . . 8 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 probability a red marble selected at random from a jar containing p red, q blue and r green marbles is

  • 5)

    A page is selected at random from a book. The probability that the digit at units place of the page number chosen is less than 7 is

10th Standard Maths Unit 7 Mensuration Book Back Questions - by Indumathi - Namakkal - View & Download

  • 1)

    The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

  • 2)

    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

  • 3)

    Th e height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be

  • 4)

    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

  • 5)

    A shuttle cock used for playing badminton has the shape of the combination of

10th Standard Maths Unit 6 Trigonometry Book Back Questions - by Indumathi - Namakkal - View & Download

  • 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)

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

  • 4)

    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

  • 5)

    A tower is 60 m height. Its shadow is x metres shorter when the sun’s altitude is 45° than when it has been 30°, then x is equal to

10th Standard Maths Unit 5 Coordinate Geometry Book Back Questions - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

    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

  • 3)

    The straight line given by the equation x = 11 is

  • 4)

    If slope of the line PQ is \(\frac { 1 }{ \sqrt { 3 } } \) then the slope of the perpendicular bisector of PQ is

  • 5)

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

10th Standard Maths Unit 4 Geometry Book Back Questions - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

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

    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?

  • 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 Standard Maths - Numbers and Sequences Book Back Questions - by Indumathi - Namakkal - View & Download

  • 1)

    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

  • 2)

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

  • 3)

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

  • 4)

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

  • 5)

    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

10th Standard Maths - Algebra Book Back Questions - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

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

  • 3)

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

  • 4)

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

  • 5)

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

10th Maths Unit 1 Relations and Functions Book Back Questions - by Indumathi - Namakkal - View & Download

  • 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)

    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

  • 4)

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

  • 5)

    Represent the function f(x)=\(\sqrt { 2x^{ 2 }-5x+3 } \) as a composition of two functions.

10th Standard Maths Chapter 1 Relations and Functions One Mark Question with Answer Key - by Indumathi - Namakkal - View & Download

  • 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 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..

  • 4)

    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

  • 5)

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

10th Standard Maths Unit 8 Statistics and Probability One Mark Question and Answer - by Indumathi - Namakkal - View & Download

  • 1)

    Which of the following is not a measure of dispersion?

  • 2)

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

  • 3)

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

  • 4)

    A number x is chosen at random from -4, -3, -2, -1, 0, 1, 2, 3, 4 find the probability that |x|≤4

  • 5)

    which of the following is true?

10th Maths - Mensuration One Mark Question with Answer - by Indumathi - Namakkal - View & Download

  • 1)

    The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

  • 2)

    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

  • 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)

    If the radius of the base of a cone is tripled and the height is doubled then the volume is

  • 5)

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

10th Maths Chapter 6 Trigonometry - One Mark Question with Answer Key - by Indumathi - Namakkal - View & Download

  • 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)

    (1+tan\(\theta \)+sec\(\theta \)) (1+cot\(\theta \)-cosec\(\theta \)) 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)

    If sin A=\(\frac{1}{2}\), then the value of cot A is

10th Maths Unit 5 Coordinate Geometry One Mark Question and Answer - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

    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

  • 3)

    The straight line given by the equation x = 11 is

  • 4)

    If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is

  • 5)

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

10th Maths - Geometry One Mark Question with Answer - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

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

  • 3)

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

  • 4)

    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 

  • 5)

    The perimeters of two similar triangles\(\triangle\)ABC and \(\triangle\)PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is

10th Maths Unit 3 Algebra - One Mark Question Paper with Answer Key - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

    The solution of the system x + y − 3x = −6, −7y + 7z = 7 , 3z = 9 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 Maths Unit 2 Numbers and Sequences One Mark Questions With Answer - by Indumathi - Namakkal - View & Download

  • 1)

    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

  • 2)

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

  • 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 the exponents of the prime factors in the prime factorization of 1729 is

  • 5)

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

10th Maths Relations and Functions One Mark Questions Paper - by Indumathi - Namakkal - View & Download

  • 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 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..

  • 4)

    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

  • 5)

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

10th Maths Quarterly Exam Model Two Marks Question Paper - by Indumathi - Namakkal - View & Download

  • 1)

    If X = {–5,1,3,4} and Y = {a,b,c}, then which of the following relations are functions from X to Y ?
    (i) R1= {(–5,a), (1,a), (3,b)}
    (ii) R2= {(–5,b), (1,b), (3,a),(4,c)}
    (iii) R3 = {(–5,a), (1,a), (3,b),(4,c),(1,b)}

  • 2)

    If f(x)=2x+3, g(x)=1-2x and h(x)=3x. Prove that f 0 (f o g) o h.

  • 3)

    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.

  • 4)

    Find the HCF of 396, 504, 636.

  • 5)

    Determine the general term of an A.P. whose 7th term is -1 and 16th term is 17.

10th Maths August Monthly Model Test Paper - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

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

  • 3)

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

  • 4)

    Transpose of a column matrix is

  • 5)

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

10th Standard Maths Model Question Paper 2019 - 2020 - by Indumathi - Namakkal - View & Download

SSLC Maths Chapter 5 Coordinate Geometry Model Question Paper - by Indumathi - Namakkal - View & Download

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

  • 3)

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

  • 4)

    When proving that a quadrilateral is a trapezium, it is necessary to show

  • 5)

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

10th Standard Maths First Mid Term Model Question Paper - by Indumathi - Namakkal - View & Download

  • 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)

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

  • 4)

    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

  • 5)

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

1. RELATIONS AND FUNCTIONS - by 9444441210 - View & Download

  • 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 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..

  • 4)

    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

  • 5)

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

10th Standard Maths Geometry Model Question Paper - by Indumathi - Namakkal - View & Download

  • 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)

    A tangent is perpendicular to the radius at the

  • 5)

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

10th Standard Maths Chapter 3 Algebra Important Question Paper - by Indumathi - Namakkal - View & Download

  • 1)

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

  • 2)

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

  • 3)

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

  • 4)

    \(\frac {3y - 3}{y} \div \frac {7y - 7}{3y^{2}}\) is

  • 5)

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

10th Standard Maths Chapter 2 Numbers and Sequences Important Question Paper - by Indumathi - Namakkal - View & Download

  • 1)

    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

  • 2)

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

  • 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 the exponents of the prime factors in the prime factorization of 1729 is

  • 5)

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

SSLC Maths Chapter 1 Important Question Paper - by Indumathi - Namakkal - View & Download

  • 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)

    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

  • 4)

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

  • 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

frequently asked five mark questions in maths chapter one for state board english mesium - by Karthik - View & Download

  • 1)

    Let A = {1,2,3,4} and B ={2,5,8,11,14} be two sets. Let f: A ⟶ B be a function given by f(x)=3x−1. Represent this function
    (i) by arrow diagram
    (ii) in a table form
    (iii) as a set of ordered pairs
    (iv) in a graphical form

  • 2)

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

  • 3)

    Let A={1,2,3}, B={4,5,6,7}, and f={(1,4),(2,5),(3,6)}  be a function from A to B. Show that f is one – one but not onto function.

  • 4)

    If A={-2,-1,0,1,2} and f: A ⟶ B is an onto function defined by f(x)=x2+x+1 then find B.

  • 5)

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

Maths chapter one important questions for state board english medium - by Karthik - View & Download

  • 1)

    A relation ‘f’ is defined by f(x)=x2-2 where x\(\in \){-2,-1,0,3}
    (i) List the elements of f
    (ii) Is f a function?

  • 2)

    If X = {–5,1,3,4} and Y = {a,b,c}, then which of the following relations are functions from X to Y ?
    (i) R1= {(–5,a), (1,a), (3,b)}
    (ii) R2= {(–5,b), (1,b), (3,a),(4,c)}
    (iii) R3 = {(–5,a), (1,a), (3,b),(4,c),(1,b)}

  • 3)

    Given f(x) =2x-x2, find
    (i) f (1)
    (ii) f (x+1)
    (iii) f (x) + f (1)

  • 4)

    Find f o g and g o f when f(x)=2x+1 and g(x)=x2-2

  • 5)

    Represent the function f(x)=\(\sqrt { 2x^{ 2 }-5x+3 } \) as a composition of two functions.

10th standard new syllabus creative multiple choice questions in chapter one maths - by Karthik - View & Download

  • 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 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..

  • 4)

    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

  • 5)

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

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

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