10th Maths One Marks Question Paper 15 Sets English Medium

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ONE MARK - FIRST TEST

CLASS : X

TIME:10 MINUTES

1. If A B, then A B is a) B

b) A/B c) A

d) B/A

2. If the product of the first four consecutive terms of a G.P is 256 and if the common ratio is 4 and

the first term is positive , then the 3rd term is a) 8

b)

1 16

c)

1 32

d)16

3.If 1+ 2 + 3+ ........... + n = k then 13+ 23 + 33+ ........... + n3 is equal to

a)k2

b)k3

4.The GCD of (x3+1) and x4- 1 is a) x3 - 1

c)(+1)

2

b) x3 + 1

d)(k+1)3 c) x + 1

d) x - 1

5.A quadratic equation whose one root is 3 is

a) x2 - 6x ? 5 = 0

b) x2 + 6x ? 5 = 0

c) x2 - 5x ? 6 = 0 d) x2 - 5x + 6 = 0

6.If A and B are square matrices such that AB= I and BA = I , then B is

a)Unit matrix

b) Null matrix

c) Multiplicative inverse matrix of A d) -A

7.The midpoint of the line joining (a, -b) and ( 3a, 5b) is

a) (-

a , 2b )

b) ( 2a , 4b )

c) ( 2a , 2b )

d) ( -a , -3b )

8. Slope of the straight line which is perpendicular to the straight line joining the points ( -2, 6 ) and

( 4 , 8 ) is equal to

a)

1 3

b) 3

c) -3

d) -

1 3

9.If the vertical stick 12m long casts a shadow 8m long on the ground and at the same time a

tower casts a shadow 40m long on the ground , then the height of the tower is

a) 40 m

b) 50 m

c) 75 m

d) 60 m

10. In ABC is aright angled triangle where B = 90 and BD AC. If BD = 8cm, AD= 4cm , then CD is a) 24cm b)16cm c)32cm d)8cm

11.In the adjoining figure ABC = a)45

b)30

c) 60

d)50

12.(1 + cos2)(1 - cos) (1 + cos) =

a)tan2 - sec2

b) sin2 - cos2 c) sec2 - tan2 d) cos2 - sin2

13.If the height and the base area of aright circular cone are 5 cm and 48 sq.cm respectively, then

the volume of the cone is equal to a) 240 cm3

b) 120 cm3 c) 80 cm3 d) 480 cm3

14.Varinace of the first 11 natural numbers is a) 5

b) 10

c) 52

d)10

15.The outcome of a random experiment results in either success or failure. If the probability of success is twice the probability of failure , then the probability of success is

a)

1 3

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ONE MARK - SECOND TEST

CLASS : X

1.For any three sets A , B and C , A(BC) is a) (AB)(BC)

TIME:10 MINUTES b) (AB)(AC)

c) (B/A)=(A/C)

d) (A/B)(B/C)

2.If the sequence a1 , a2 ,a3, ........is in A.P., then the sequence is

a) a G.P

b)an A.P

c)neither A.P nor G.P

d)a constant sequence

3.If the nth term of an A.P is tn = 3 - 5n then the sum of the first n term is

a) [1- 5n ]

2

b) n[1- 5n ]

c) [1+ 5n ]

2

d) [1+ n ]

2

4.A system of the two linear equations in two variables in two variables is inconsistent,

if their graphs

a)coincide

b) intersect only at a point

c)does not intersect at any point d)cut the x-axis

5.The common root of the equation x2 - bx +c = 0 and x2 - bx - a = 0 is

a)2+

b)

- 2

c)

+ 2

6.If A is of order 3 X 4 and B is of order 4 X 3 , then the order of BA is

d)

+ 2

a) 3 X 3

b) 4 X 4

c) 4 X 3

d) not defined

7.If (1 , 2) , (4 , 6) , ( x , 6 ), ( 3 , 2 ) are the vertices of a parallelogram taken in order, then the value of

xis a)6

b) 2

c) 1

d) 3

8. The equation of the straight line parallel to y ? axis and passing through the point ( -2 ,5 ) is

a) x ? 2 = 0

b) x + 2 = 0

c) y + 5 = 0

d) y ? 5 = 0

9.The sides of two similar triangle are in the ratio 2: 3 , then their areas are in the ratio

a) 9:4

b)4:9

c) 2:3

d) 3:2

10. The perimeter of two similar triangles ABC and DEF are 36cm and 24cm respectively. If

DE = 10cm then AB is a) 12cm

b)20cm c)15cm

d)18cm

11.In the adjoining figure, AC =

a)25m

b)253m

c)235m

d) 252m

12.A man is 28.5m away from a tower. His eye level above the ground is 1.5m . The angle of elevation

of the tower from his eye is 45. Then the height of the tower is

a)30m

b)27.5m

c)28.5m

d) 27m

13. Curved Surface Area of solid sphere is 24 cm2. If the sphere is divided into two hemispheres, then the total surface area of cone of then hemisphere is a) 12cm2 b) 8cm2 c) 16cm2 d) 8cm2

14.The range of first 10 prime numbers 2 ,3 ,5,7, 11, 13 , 17, 19, 23, 29 is a) 28 b)26 c) 29 d)27

15.There are 6 defective items in a sample of 20 items. One item is drawn at random. The probability that it is a non ? defective item is

a)

7 10

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b) 0

c)

3 10

d)

2 3



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ONE MARK - THIRD TEST

CLASS : X

TIME:10 MINUTES

1.If n(A) = 20, n(B) = 30, and n(AB) = 40 , then n(AB) is equal to

a) 50

b) 10

c) 40

d) 70

2.If a , b ,c , I ,m are in A.P , then the value of a -4b + 6c ? 4l + m is a) 1 b)2 c)3 d)0

3.If x ,2x + 2, 3x +3 ,.... Are in G.P, then 5x , 10x +10 , 15x + 15,...... form

a)

an A.P b)a G.P c)neither A.P nor G.P

d)a constant sequence

4.The remainder when x2 ? 2x + 7 is divided by x +4 a)28

b) 29

c)30 d)31

5.The system of equations x ? 4y = 8 , 3x ? 12y = 24

a) has infinitely many solutions

b) has no solution

c) has a unique solution

d) may or may not have a solution

6.If A = ( -) is such that A2

a)1 + 2 + = 0

b) 1 - 2 + = 0 c) 1 - 2 - = 0

d) 1 + 2 - = 0

7.The angle of inclination of a straight line parallel to x ? axis is equal to

a) 0

b) 60

c) 45

d) 90

8. The equation of the straight line having slope 3 and y ? intercept -4 is

a) 3x ? y ? 4 = 0

b) 3x + y ? 4 = 0 c) 3x ? y + 4 = 0 d) 3x + y + 4 = 0

9.Triangle ABC and DEF are similar . If their area are 100 cm 2 and 49 cm2 respectively and BC is

8.2 cm then EF a) 5.47cm

b)5.74cm

c) 6.47cm

d) 6.74cm

10. A point P is 26cm away from the centre O of a circle and PT is the tangent drawn from P to the

circle is 10 cm , then OT is equal to a) 36cm

b)20cm c)18cm d)24cm

11. cos4 x ? sin4 x = a)2 sin2x ? 1 b) 2cos2x ? 1 c) 1 + 2sin2x d) 1 ? 2cos2x

12.In the adjoining figure ,

sin =

15 17

.

Then

BC =

a)85m

b)65m

c)95m

d) 75m

13.The surface areas of the two spheres are in the ratio of 9:25. Then their volumes are in the ratio

a) 81: 625 b) 729 : 15625 c) 27 : 75

d) 27 : 125

14.Mean and standard deviation of a data are 48 and 12 respectively. The coefficient of variation is

a) 42

b)25

c) 30

d) 48

15.The

probability

that

a

student

will

score

centum

in

mathematics

is

4 5

.

The

probability

that

he

will

not score centum is a) 1

b) 2

c) 3

d) 4

5

5

5

5

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ONE MARK - FOURTH TEST

CLASS : X

TIME:10 MINUTES

1.If { (x, 2) , (4, y ) } represents an identity function, then (x ,y) is

a) (2,4) b) (4,2) c) (2,2)

d) (4,4)

2. If a , b ,c are in G.P , then - is equal to

a)

b) c)

d)

-

3.In a G.P, t2

=

3 5

,

and

,

t3

=

1 5

. Then the common ratio

a)

1 5

b)

1 3

c)1 d)5

4.The sum of two zeros of the polynomial f(x) = 2x2 + (p + 3) x + 5 is zero, then the value of p

a)3

b)4

c) - 3

d) - 4

5.The square root of x2 + y2 + z2 ? 2xy + 2yz -2zx

a) x + y ? z

b) x ? y + z

c) x + y + z

d) x ? y ? z

6.If A X (10 12) = (1 2) then the order of A is a) 2 X 1

b) 2 x 2 c) 1 X 2 d) 3 X 2

7.The point P which divides the line segment joining the points A( 1 ,-3 ) and B(-3,9) internally in the

ratio 1:3 is

a) (2,1) b) (0,0)

c) ( 5, 2) d) (1 , -2)

3

8. The equation of the straight line having slope 3 and y ? intercept -4 is

a) 3x ? y ? 4 = 0

b) 3x + y ? 4 = 0

c) 3x ? y + 4 = 0 d) 3x + y + 4 = 0

9.If the straight line intersects the sides AB and AC of a ABC at D and E respectively and is parallel to

BC , then

=

a)

b)

c)

d)

10. A point P is 26cm away from the centre O of a circle and PT is the tangent drawn from P to the

circle is 10 cm , then OT is equal to

a) 36cm

b)20cm c)18cm d)24cm

11. sin (90 - ) cos + cos (90- )sin = a)1

b) 0

c) 2

d) -1

12. 9 tan2 - 9 sec 2 =

a)1

b)0

c)9

d) -9

13.Radius and height of aright circular cone and that of right circular cylinder are respectively , equal .If the volume of the cylinder is 120 cm3 , then the volume of the cone is equal to

a) 1200 cm3

b) 360 cm3

c) 40 cm3

d) 90 cm3

14.If the variance of 14, 18, 22, 26 , 30 is 32 ,then the variance of 28, 36, 44, 52,60 is

a) 64

b)128

c) 322

d) 32

15.Two dice are thrown once. The probability of getting a doublet

a) 1

36

b) 1

c) 1

d) 2

3

6

3

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ONE MARK - FIFTH TEST

CLASS : X

TIME:10 MINUTES

1.If A ={ 5,6,7} , B= {1,2,3,4,5} and f: AB is defined by f(x) = x ? 2 ,then the range of is

a){1,4,5}

b){ 1,2,3,4,5}

2. If a , b ,c

are

in

A.P

,

then

- -

is equal to

sequence -3, -3, -3,... is

c) {2,3,4, }

a)

b)

d) {3,4,5}

c)

d) 1

3.The

a) an A.P only

b)a G.P only

c)neither A.P nor G.P d)both A.P and G.P

4.The lowest form of the rational expression

x2+ 5x + 6 2- -6

is

a) -3

b) +3

c) +2

+3

-3

-3

5.If b = a + c , then the equation ax2 + bx + c = 0 has a) a = c

d) -3

+2

b) a = -c c) a = 2c

d) a = -2c

6. (-01 01) ( ) = (10 -01), then the matrix B =

a) -1,0,0,1

b)1,0,0,1

c)-1,0,1,0

d)1,0,0,0

7.Area of the triangle formed by the points (1,1) ,(0,1) , (0,0) and (1,0) is

a) 1 sq.units

b) 2 sq.units

c) 4 sq.units

d) 8 sq.units

8. The point of intersection of the straight lines y = 0 and x = -4 is

a) ( 0, -4)

b) (-4,0)

c) (0,4)

d) (4,0)

9.In the triangle ABC and DEF ,B = E, C = F , then

a)

=

b)

=

c)

=

d)

=

10.The perimeters of two similar triangles are 24cm and 18cm respectively. If one side of the first

triangle is 8cm ,then the corresponding side of the other triangle is

a) 4cm

b)3cm

c)9cm

d)6cm

11. ( 1 ?sin2 ) sec2

a) 0

b) 1

c) tan2 d) cos2

12. (cos2 - 1) (cot2 + 1) + 1 = a)tan2 - sec2 b) sin2 -cos2 c)sec2 - tan2 d) cos2 - sin2

13.Base area of right circular cylindrical cylinder is 80 cm2.If its height is 5 cm , then the volume is

equal to

a) 400cm3

b) 16cm3

c) 200cm3

d)

400 3

cm3

14.If t is the standard deviation of x,y,z, then the standard deviation of x +5 , y + 5, z +5 is

a)

3

b) t + 5

c) t

d) xyz

15.The probability of sure evhtetpn:/t/wisww.trbtnap)sc.c1om/2013/09/1b0)th-0study-materiacls).h1tm0l0

d) 0.1

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ONE MARK - SIXTH TEST

CLASS : X

TIME:10 MINUTES

1. Which one of the following is not true

a) A|B =A B'

b) A | B = A B c)A | B = (AB)B'

d)A|B = (AB)|B

2. In a GP, t2 = 3/5 and t3=1/5, then the common ratio is

a)1/5

b)1/3

c)1

d)5

3. The sequence -5,-5,-5,............is

a) an A.P only b) a G.P only c) neither A.P nor G.P d) both A.P and G.P

4. The remainder when x2-2x+7 is divided by x+4 is

a) 28

b)29

c) -3

d)-4

5. Let b=a+c then the equation ax2+bx+c=0 has equal roots, if

a) a=c

b) a = -c

c)a=2c

d)a = -2c

6. If (8 48) = 4(21 12) ,then the value of x is

a) 1

b) 2

c) ?

d) 4

7. Area of the triangle formed by the points are (0,0),(2,0) and (0,2) is

a) 1 sq.Units

b)2sq.units

c)4 sq.units

d) 8 sq.units

8. The value of k if the straight line 3x+6y+7=0 and 2x+ky=5 are perpendicular is

a)1

b) -1

c)2

d)1/2

9. ABC and DEF are similar. If their area are 100 cm2 and 49 cm2 respectively and BC is 8.2 cm then

EF = a)5.47cm

b)5.74cm

c)6.47cm

d)6.74cm

10.In the joining figure, chord AB and CD interest at P. if AB = 16 cm, PD = 8 cm, PC=6 cm, and AP>PB,

then AP = a)8cm

b)4cm

c)12cm

d)6cm

11. if x=a sec, y=btan, then the value of x2 - y2 = a2 b2 1 b) -1

c) tan2 d) cosec2

12. (1+cot - cosec) (1+tan+sec) =

a)1

b)2

c)3

d)5

13. If the surface area of a sphere is 36cm2, then the volume of the sphere is equal to________

a) 12cm3

b)36cm3

c)72cm3

d)108cm3

14. Variance of the first 11 natural numbers is ____

a)5

b)10

c)52

d)10

15. A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected at random, the

probability that it is not red is

a)

5 12

b)

4 12

c)

3 12

d)

3 4



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ONE MARK - SEVENTH TEST

CLASS : X

TIME:10 MINUTES

1.If n[P(A)]=64, then n (A) is

a) 6

b) 8

2.If a,b,c are in G.P, then - is equal to

-

a)

b)

3. In a t2=53and t3=15. Then the common ratio is

a) 1

b) 1

5

3

4.The remainder when x2-2x+7 is divided by x+4 is

a) 28

b)29

5.The square root of 49 (x2-2xy+y2)2 is

a) 7| - |

b) 7(x+y) (x-y)

c)4 c)

c) 1 c)30 c) 7(x+y)2

d)5 d)

d) 5 d)31 d) 7(x-y)2

6.If A= ( -) is such that A2= I, then a) 1+2+ = 0 b) 1-2+ = 0

c) 1-2- = 0

d) 1+2- = 0

7.Area of the triangle formed by the points (0,0),(2,0) and (0,2) is

a) 1 sq.units

b) 2 sq.units

c) 4 sq.units

d) 8 sq.units

8.The equation of a straight line passing through the point (2,-7) and parallel to x- axis is

a) x=2

b) x=-7

c)y=-7

d) y=2

9.The sides of two similar triangles are in the ratio 2:3, then their areas in the ratio

a)9:4

b) 4:9

c)2:3

d) 3:2

10.The perimeter of two similar triangles ABC and DEF are 36cm and 24cm respectively. If DE=10 cm, then AB

is

a) 12cm

b) 20cm

c)15cm

d)18cm

11. If x=

,

y=

b

tan,

then

the

value

of

2 2

-

2 2

=

a) 1

b) -1

c) tan2

d) cosec2

12.sin2+1+12 =

a) cosec2 +cot2

b) cosec2 - cot2 c) cot2 - cosec2 d)sin2-cos2

13.If the radius of a sphere is half of the radius of another sphere, then their respective volumes are in the ratio.

a)1:8

b) 2:1

c)1:2

d) 8:1

14. The variance of 10,10,10,10,10 is

a)10

b) 10

c)5

d) 0

15.Probability of sure event is

a) 1 X_STD MATHS

b) 0 )s1c.0co0m/2013/09/10th-studdy-)m0.a1terials.html

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