Free Printable CBSE CLASS 10 TERM -1

1.

Non terminating & recurring decimal is called

a)

rational number

b)

irrational number

c)

real number

d)

both 1 & 3

2.

Fundamental theorem of arithmetic is not applicable for

a)

16

b)

81

c)

64

d)

11

3.

Application of Euclid's algorithm is to find

a)

LCM

b)

HCF

c)

both LCM & hcf

d)

none

4.

Solve for x and y if 2ˣ+5ʸ=33

a)

x=3 , y=2

b)

x=2 , y=3

c)

x=-3 , y=-2

5.

if 1 is a zero of the polynomial ax²-3(a-1)-1 then find the value of 'a'

a)

-1

b)

1

c)

2

d)

4

6.

What is the sum of the reciprocal of the roots of the equation x²-7x+12=0

a)

-12/7

b)

7/12

c)

12/7

d)

7/20

7.

In the figure find AB/AC

a)

3/5

b)

5/4

c)

5/3

d)

53

8.

Find the value of acute angle B if A=30° and sinA =CosB

a)

60°

b)

30°

c)

Other

d)

-60°

9.

Find the value of (PR+OR)

a)

17cm

b)

16cm

c)

15cm

d)

14cm

10.

Find x if the mode of the given data is 29:

27,16, x+10 , 23 , 29 , 27 , 31 , 29

a)

x=19

b)

x=-18

c)

x=18

d)

x=-19

11.

Find the area of the shaded region .

a)

-77m²

b)

770²m

c)

770m²

d)

77³

12.

If the bisector of the angle A of a Triangle ABC is perpendicular to the base BC of the triangle ,then the triangle ABC is:

a)

Obtuse Angled

b)

Scalene

c)

Isosceles

d)

Equilateral

13.

If (2,0) is a solution of the linear equation 2x+3y=k,then the value of k is:

a)

6

b)

5

c)

2

d)

4

14.

The height of a right circular cone of radius 5 cm and slant height 13 cm is:

a)

8 cm

b)

14 cm

c)

6 cm

d)

12 cm

15.

If triangle ABC is similar to triangle PQR then which of the following is true:

a)

CA=RP

b)

AB=RP

c)

AC=RQ

d)

CB=QP

16.

Each side of a square is 6²/₃ m long. Find its Area.

a)

44⁴/₉ m²

b)

12³/₂ m²

c)

65 ¹/₂ m²

d)

None of these.

17.

The average of first 50 natural numbers is?

a)

25.30

b)

25.5

c)

25

d)

12.25

18.

The number which is neither prime nor composite is ?

a)

1

b)

5

c)

3

d)

2

19.

If in AP a= -2, d=2 then

a_{10}=

a)

20

b)

18

c)

-16

d)

16

20.

Probability of Sure event is

a)

0

b)

1

c)

-1

d)

2

21.

Probability of Impossible event is

a)

0

b)

1

c)

2

d)

3

22.

Even prime number is _______

a)

4

b)

-2

c)

1

d)

2

23.

$If\ 2^x=32\ then\ x\ =?$

a)

3

b)

4

c)

5

d)

8

24.

Class mark of 35 to 75 is

a)

60

b)

50

c)

55

d)

65

25.

Discriminant of px^2 + qx + r = 0

a)

$q^2-4pr$

b)

$\sqrt{ }$ $q^2-4pr$

c)

$p^2-4qr$

d)

$r^2-4pq$

26.

Mean of first five odd number is

a)

5

b)

7

c)

6

d)

9

27.

Distance between

A\ \left(5\cos\theta,\ 0\right)

and

B\ \left(0,\ 5\sin\theta\right)

a)

1 unit

b)

5 units

c)

10 units

d)

50 units

28.

Empirical relation between mean, median, mode is

a)

3 Mean = Mode + Median

b)

3 Mean = Mode - Median

c)

Mode = 3 Median - 2 Mean

d)

3 Mode = 3 Mean - Median

29.

Median of first six prime numbers is

a)

6.6

b)

5

c)

6

d)

7

30.

Perimeter of semi circle with radius 7 cm is

a)

22 cm

b)

36 cm

c)

78 cm

d)

44 cm

31.

Area of sector of a circle of radius 14 cm and length of arc 20 cm is

a)

280 cm²

b)

140 cm²

c)

350 cm²

d)

70 cm²

32.

Area of triangle with vertices (0,-3), (0,0), and (2,0) is

a)

6 cm²

b)

3 cm²

c)

5 cm²

d)

10 cm²

33.

After how many places will the decimal expansion of 189/125 terminate

a)

2

b)

3

c)

4

d)

5

34.

LCM of

p = a³b² and q = b³a²

a)

ab

b)

a³b³

c)

a²b²

d)

a⁵b⁵

35.

Cards marked with numbers 13, 14, 15, ........, 60 are placed in a box and mixed thoroughly. one card is drawn at random from the box then probability of that card drawn divisible by 3 and 7 is

a)

21/47

b)

21/48

c)

1/47

d)

2/48

36.

$\sqrt{2\ }x^2\ +\ 7x\ +\ 5\sqrt{2}\ =\ 0\$ has

a)

no real roots

b)

only one real roots

c)

two rational roots

d)

two irrational roots

37.

If a, b, c are in AP then

a)

a = b + c

b)

b = a + c

c)

2b = a + c

d)

c = a + b

38.

Which of the following is not true?

a)

$\tan\ A\ =\ \frac{1}{\sqrt{\operatorname{cosec}^{2^{ }}A\ -\ 1}}$

b)

$\tan\ A\ =\ \frac{Sin\ A}{\sqrt{1\ -\ \sin^2A}}$

c)

$\tan\ A\ =\ \frac{\sqrt{1-\sin^2A}}{\sqrt{1-\cos^2A}}$

39.

If the ratio of the length of a pole and it's shadow is 1:1, then angle of elevation of the sun is

a)

30 degree

b)

45 degree

c)

60 degree

d)

10 degree

40.

Slant height of cone is equal to

a)

$√(r^2+h^2)$

b)

$√(l^2+h^2)$

c)

$√(l^2+4r)$

d)

None of given

41.

Area of base of Cone

a)

πrl

b)

R^2

c)

πr^2

d)

2πrh

42.

Volume of hemispherical shell

a)

$2/3π(R^3+r^3)$

b)

$2/3π(R^3-r^3)$

c)

$2/3π(R^3+r^2)$

d)

$2/3π(R^2+r^2)$

43.

Volume of cylindrical pipe

a)

$πr^2(R^2-h^2)$

b)

$Πh(R^2+r^2)$

c)

$Πh(R^2-r^2)$

d)

$Πh(R^3-r^3)$

44.

The area of the circle that can be inscribed in a square of side 6 cm is

a)

$36\ \pi\ cm^2$

b)

$9\ \pi\ cm^2$

c)

$6\ \pi\ cm^2$

d)

$18\ \pi\ cm^2$

45.

Perimeter of a quadrant of circle of radius 7 cm is

a)

44 cm

b)

25 cm

c)

18 cm

d)

8 cm

46.

If finding mean using assumed mean method "d" is

a)

difference of class interval

b)

class mark

c)

deviations from assumed mean

d)

deviation from class mark

47.

probability of 53 Tuesday's in a leap year is

a)

$\frac{2}{7}$

b)

$\frac{1}{7}$

c)

$\frac{53}{365}$

d)

$\frac{5}{339}$

48.

one hectare is unit of

a)

area

b)

volume

c)

perimeter

d)

length

49.

orthocentre is the point of intersection of

a)

median of a triangle

b)

altitudes of a triangle

c)

angle bisectors of a triangle

d)

perpendicular bisectors of sides of triangle

50.

which of the following cannot be the probability of an event?

a)

1.7

b)

0.7

c)

0.73

d)

15%

51.

A polynomial of degree "n" can have

a)

at least n zeroes

b)

at the most n zeroes

c)

n+1 zeroes

d)

n-1 zeroes

52.

Length of diagonal of cuboid

a)

$√(l^2+b^2+h^2)$

b)

$√(l^2+b^2-h^2)$

c)

$√(l+b+h)$

d)

No formula for this

53.

If p, q, r are the +ve integers then HCF(p, q, r) is

a)

$\frac{p.q.r.\ HCF\left(pqr\right)}{LCM\ \left(p,\ q,\ r\right)}$

b)

$\frac{p.q.\ HCF\left(pq\right)}{LCM\ \left(p,\ r\right)}$

c)

$\frac{q.r.\ +\ HCF\left(pqr\right)}{LCM\ \left(p,\ q,\ r\right)}$

d)

$\frac{p.q.r\ LCM\left(p,q,r\right)}{LCM\left(p,q\right).LCM\left(q,r\right).LCM\left(p,r\right)}$

54.

What is the formula of Sin2A?

a)

2*SinA*CosA

b)

Cos^2A-Sin^2A

c)

2Cos^2A-1

d)

1-2Sin^2A

55.

WHAT is the value of sin30?

a)

1

b)

1/2

c)

2

d)

3

56.

What\ is\ the\ value\ of\ Tan60?

a)

$\sqrt{3}$

b)

$\sqrt{3}\div2$

c)

1/2

d)

3

57.

What is the formula of Cos2A?

a)

2*SinA*CosA

b)

Sin2A

c)

2Cos^2A-1

d)

2CosA-1

58.

$What\ is\ the\ value\ of\ \theta\ if\ Sin\theta=1$

a)

0

b)

90

c)

45

d)

30

59.

What is the value of x if Tanx=1

a)

45

b)

60

c)

30

d)

90

60.

Is the sequence arithmetic: 0.2, 0.22, 0.222, 0.2222, ...

a)

Yes

b)

No

61.

If for an AP d = 5 then

t_{18}\ -\ t_{13}\ =\

a)

5

b)

20

c)

25

d)

30

62.

In an AP the first term is 1 and last term is 20. Sum of all terms is 399, then n =

a)

42

b)

38

c)

21

d)

19

CBSE CLASS 10 TERM -1

Total questions: 62

Worksheet time: 1hrs 2mins

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