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Worksheets

msm 10th

Total questions: 100

Worksheet time: 1hrs 14mins

Name
Class
Date
1.

If two positive integers p and q can be expressed’ as p=ab2 and q = a3b; where 0, b being prime numbers, then LCM (p, q) is equal to

(a)  

2.

HCF of 441,567and693 is

a)

1

b)

441

c)

126

d)

63

3.

HCF of 45 and 105is 15 then LCM is

(a)  

4.

If the HCF (16,y) =8 and LCM(16,y)=8 then y=

a)

48

b)

8

c)

16

d)

24

5.

For some integer p every odd integer of the form

a)

2p+1

b)

1p

c)

2p

d)

None of these

6.

If the LCM(77,99)=693, HCF (77,99) is

a)

22

b)

9

c)

11

d)

7

7.

HCF of 8,9,25 is

a)

8

b)

9

c)

25

d)

1

8.

987/10500 have the decimal expansion of the form

a)

Terminating

b)

Non-terminating

c)

Non-terminating and non repeating

d)

None of these

9.

HCF of 8,9,25 is

a)

8

b)

9

c)

25

d)

1

10.

HCF of 45 and 105 is 15 then LCM is

a)

15

b)

105

c)

315

d)

215

11.

If HCF (16,y)=8,LCM(16,y)=8 then value of y is

a)

16

b)

8

c)

48

d)

24

12.

For postive integer a and 3 there exists a unique integer q and r such that a=3q+r where r can be

a)

0 to 2

b)

1 to 3

c)

Greater than 4

d)

None of these

13.

The farmers have 490 kg ,588 kg and 882 kg of wheat respectively .find the maximum capacity of a bag so that the wheat can be packed exact number of bags

a)

350kg

b)

200kg

c)

290kg

d)

98kg

14.

The zeroes of the quadratic polynomial x2 + 7x + 10 are

a)

-4.-3

b)

2,5

c)

-2,-5

d)

-2,5

15.

The zeroes of the quadratic polynomial x2 - 27 are

a)

+3√3,− 3√3

b)

3,3

c)

9,9

d)

+√3, − √3

16.

A quadratic polynomial can have at most ______ zeroes.

a)

0

b)

1

c)

2

d)

INFINITE

17.

A quadratic polynomial, whose zeroes are −2 and 4, is

a)

𝑥² – 2𝑥 + 8

b)

𝑥² + 2𝑥 + 8

c)

𝑥² – 2𝑥 - 8

d)

2𝑥² – 2𝑥 + 24

18.

The number of polynomials having zeroes as −2 and 5 is

a)

1

b)

2

c)

3

d)

MORE THAN 3

19.

The sum and the product of the zeroes of polynomial 6x2 – 5 respectively are

a)

0, −6 /5

b)

0, 6/ 5

c)

0, 5/6

d)

0, -5/6

20.

The zeroes of the quadratic polynomial 𝑥 2 + 𝑘𝑥 + 𝑘 where k ≠ 0,

a)

cannot both be positive (b) cannot both be negative (c) are always unequal (d) are always equal

b)

cannot both be negative

c)

are always unequaL

d)

are always equal

21.

If the zeroes of the quadratic polynomial 𝑎𝑥² + 𝑏𝑥 + 𝑐, where 𝑐 ≠ 0, are equal, then

a)

c and a have opposite signs

b)

c and b have opposite signs

c)

c and a have the same signs

d)

c and b have the same signs

22.

If one of the zeroes of a quadratic polynomial of the form 𝑥² + 𝑎𝑥 + 𝑏 is the negative of the other, then it.

a)

has no linear term and the constant term is negative

b)

has no linear term and the constant term is positive

c)

has no linear term and the constant term is positive

d)

can have a linear term but the constant term is positive

23.

If one zero of the quadratic polynomial 𝑥² + 3𝑥 + 𝑘 is 2, then the value of 𝑘 is

a)

10

b)

-10

c)

5

d)

-5

24.

If one zero of the quadratic polynomial x2 − 4x + 1 is 2 + √3, then the other zero is

a)

−2 + √3

b)

−2 - √3

c)

2 -√3

d)

√3 +1

25.

If 2 is a zero of the polynomial p(x) = k x2 +3 x + k, then the value of k is

a)

5/6

b)

-5/6

c)

6/5

d)

-6/5

26.

If one of the zeroes of the quadratic polynomial (𝑘 – 1)𝑥 2 + 𝑘𝑥 + 1 is – 3, then the value of 𝑘 is

a)

4/3

b)

-4/3

c)

2/3

d)

-2/3

27.

If the sum of the zeroes of the quadratic polynomial kx2 + 2x + 3k is equal to their product, then k is equal to

a)

1/3

b)

-2/3

c)

-1/3

d)

2/3

28.

. If zeroes of p(x) = 2x2 − 7x + k reciprocal of each other find the value of k?

a)

1

b)

2

c)

3

d)

4

29.

If the zeroes of a quadratic polynomial 𝑝(𝑥) = 𝑎𝑥2 + 𝑥 + 𝑎 are equal, then the value of 𝑎 is

a)

1/2

b)

-1/2

c)

+1/2. -1/2

d)

1,-1

30.

A quadratic polynomial whose one zero is 6 and sum of the zeroes is 0, is

a)

x2– 6x + 2

b)

x2– 36

c)

x2– 6

d)

x2– 3

31.

If α, β are the zeroes of the polynomial x² – 16, then αβ (α + β) is

a)

0

b)

4

c)

-4

d)

16

32.

If 2 and 3 are zeroes of polynomial 3x2 – 2kx + 2m, then the value of k and m are, respectively

a)

9/2,15

b)

15/2,9

c)

9,15/2

d)

15, 9

33.

If zeroes α and β of a polynomial x2 – 7x + k are such that α − β = 1, then the value of k is

a)

21

b)

12

c)

9

d)

8

34.

The intersction point of x+y=10 and x-y=2 is

a)

(6,4)

b)

(-6,2)

c)

(2,3)

d)

(4,6)

35.
This system has _____ solutions
a)
no
b)
1
c)
2
d)
Infinitely many
36.

if a1x+b1y+c1=0 and a2x+b2y+c2=0 are in consistent then,

a)
b)
c)
d)
37.

If a pair of equations is consistent then the lines will be

a)

always intersecting

b)

parallel

c)

always coincident

d)

intersecting or coincident

38.

If a pair of equation is inconsistent ,then the lines will be

a)

parallel

b)

always coincident

c)

always intersecting

d)

both coincident and intersecting

39.

The solution of the equations x + y = 14 and x - y = 4 is

a)

x = 5 and y = 9

b)

x = 10 and y = 4

c)

x = 4 and y = 10

d)

x = 9 and y = 5

40.
How many solutions will this system have?
a)
No Solution
b)
Infinitely Many Solutions
c)
No Clue
d)
One solution
41.

The equations 4x + 3y – 5 = 0 and 12x + 9y = 15 represent

a)

No solution

b)

Infinite many solution

c)

Unique solution

d)

2 solutions

42.
For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?
a)
1/2
b)
−1/2
c)
2
d)
−2
43.

Is (1,10) a solution to

y=7x+5

y=x+9

a)

yes

b)

no

44.
Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are
a)
intersecting at exactly one point
b)
intersecting at exactly two points.
c)
coincident. 
d)
 parallel.
45.
The pair of linear equations 3x + 5y = 3 ; 6x + ky = 8 do not have any solutions if : 
a)
k = 5
b)
k = 10
c)
k ≠ 10
d)
k ≠ 5
46.

if a1x+b1y+c1=0 and a2x+b2y+c2=0 has infinitely many solutions then,

a)
b)
c)
d)
47.

.If the sum of two number is 41 and their product is 400.then the numbers are

a)

25,16

b)

28,13

c)

20,20

d)

40,10

48.

3 years ago age of Amaresh is y, what is the age of him 2 years from now

a)

y+5

b)

y+3

c)

y-5

d)

y-3

49.

Differece of two supplementary angles is 600, then the smaller angle is

a)

600

b)

1000

c)

800

d)

1200

50.

General form of the linear equations in one variables is

a)

ax+b

b)

ax+by+c=0

c)

ax+by+c

d)

ax+b=0

51.

if x+y=30 and x-y= 20 then x=

(a)  

52.

A linear equation indicates a

a)

parabola

b)

circle

c)

line

d)

plane

53.

x= 5 is a line

a)

Parallel to X-axis

b)

Parallel to Y-axis

c)

Passes through origin

d)

passes through (0,5)

54.

A chemical reaction has taken place can be represented by which of the following condition?

a)

(i) Evolution of gas

b)

(ii) Heat released

c)

(iii) Change in color

d)

(iv) All the above

55.

A chemical equation is said to be balanced if number of

a)

(i) Compounds are same in both side

b)

(ii) Molecules are same in both side

c)

(iii) Number of atoms is same in both side

d)

(iv) Number of electrons are same in both side

56.

Write values of a,b and c if following chemical reaction is balanced .

aMg + bO2 → cMgO

a)

(i) a=2, b=1, c=2

b)

(ii) a=1, b=1, c=2

c)

(iii) a=2, b=1, c=1

d)

(iv) a=2, b=2, c=2

57.

Which of the following reactions satisfies this condition? :

Iron nails kept with dilute sulphuric acid and ferric sulphite solution is formed and hydrogen gas is released.

a)

(i) 2Fe(s) + 3H2 SO4(l)→ Fe2 (SO4)3(l) + 3H2(g)

b)

(ii) 2Fe(s) + 2H2SO4(aq) → Fe2(SO4)3(s) + 4H2 (g)

c)

(iii) 2Fe(s) + 2H2SO4 (aq) → 3Fe2(SO4)3(aq) + 2H2(g)

d)

(iv) 2Fe(s)+3H2SO4 (aq) → Fe2(SO4)3 (aq) + 3H2 (g)

58.

Calcium oxide reacts with water to form calcium Hydroxide. Which type of reaction is this?

a)

(i) Combination and endothermic reaction

b)

(ii) Combination and exothermic reaction

c)

(iii) Decomposition and Endothermic reaction

d)

(iv) Decomposition and exothermic reaction

59.

On thermal decomposition of lead nitrate, nitrogen dioxide gas is evolved. How it presence can be verified?

a)

(i) It will turn lime water milky

b)

(ii) Rotten egg odour

c)

(iii) Brown fumes can be observed

d)

(iv) Reddish fume is observed

60.

The electrolytic decomposition of water gives H2 and O2 in the ratio of :

a)

(a) 1 : 2 by volume

b)

(b) 2 : 1 by volume

c)

(c) 8 : 1 by mass

d)

(d) 1 : 2 by mass

61.

We store silver chloride in a dark coloured bottle because it is


a)

(a) a white solid

b)

(b) undergoes redox reaction

c)

(c) to avoid action by sunlight

d)

(d) none of the above

62.

What is A and B ?

a)

A - Hydrogen

B - Nitrogen

b)

A - oxygen

B - Hydrogen

c)

A - Hydrogen

B - oxygen

d)

A - Nitrogen

B - Hydrogen

63.

What is the color of ash formed in this experiment ?

a)

Black

b)

Brown

c)

White

d)

Yellow

64.

The bouncing back of light in the same medium after skriking smooth, polished surface is called

a)

a. Reflection of light

b)

b. Refraction of light

c)

c. Scattering of light

d)

d. Dispersion of light

65.

The angle between the incident ray and the normal ray is called

a)

a. Angle of abnormality

b)

B. angle of refraction

c)

C. angle of incidence

d)

D. angle of reflection

66.

The reflection by the rough surfaces is called

a)

Regular reflection

b)

Irregular reflection

c)

Regular refraction

d)

Irregular refraction

67.

Which one among the following is correct about laws of reflection

a)

Incident ray, normal and reflected ray in different plane

b)

Incident ray and normal lie in same plane while reflected ray in different plane

c)

Incident ray and reflected ray lie in different plane while normal lie in opposite plane

d)

Incident ray, normal and reflected ray all lie in same plane

68.

A light ray strikes a reflective plane surface at an angle of 54° with the surface.

a. Calculate the angle of incidence

b. Calculate the angle of reflection

c. Calculate the angle made by the reflected ray and the surface

d. Calculate the angle made by the incident and reflected rays

a)

A 36

b)

B 36

c)

C 54

d)

D 72

69.

A ray of light that strikes a plane mirror PQ at an angle of incidence of 30°, is reflected from the plane mirror and then strikes a second plane mirror QR placed at right angles to the first mirror. The angle of reflection at the second mirror is :

a)

a 30°

b)

B 45°.

c)

C 60°

d)

D 90°

70.

The angle of incidence for a ray of light having zero reflection angle is

a)

0°

b)

30°

c)

45°

d)

90 °

71.

An object is placed at a distance of 0.25m in front of a plane mirror. The distance between the object and image will be

a)

0.25m

b)

1.0m

c)

0.5m

d)

0.125m

72.

What is the magnification of the images formed by plane mirrors.

a)

a. Unity

b)

B Two

c)

C. Three

d)

D. Zero

73.

An object is placed 20 cm in front of a plane mirror. The mirror is moved 2 cm towards the object. The distance between the position of the original and final images seen in the mirror is

a)

2cm

b)

4cm

c)

10cm

d)

22cm

74.

Centre of the sphere of which the mirror is a part is called

a)

Radius of curvature

b)

Pole

c)

Principal axis

d)

Centre of curvature

75.

which is the following is correct for concave mirror

a)

It is a diverging mirror

b)

It is a converging mirror

c)

Can be both converging and diverging

d)

Can’t say

76.

Focal length of a plane mirror is

a)

At infinity

b)

Zero

c)

Negative

d)

None of these

77.

Calculate the focal length of a spherical mirror if radius of curvature is 20cm

a)

20cm

b)

10cm

c)

15cm

d)

At infinity

78.

A concave mirror of focal length 20cm forms an image having twice the size of object. For the virtual position of image, the position of object will be at

a)

25cm

b)

40cm

c)

10cm

d)

At infinity

79.

3.THE FEATURES OF RESPIRATORY ORGAN IS:

a)

THIN AND DELICATE

b)

LARGE SURFACE AREA

c)

HIGHLY VASCULARISED

d)

ALL OF THE ABOVE

80.

where does absorption take place

a)

stomach

b)

mouth

c)

small intestine

d)

large intestine

81.

1.THE ENERGY CURRENCY OF THE CELL IS FOUND IN

(a)  

82.
  1. THE END PRODUCT OF ANAEROBIC RESPIRATION IS
a)

ETHANOL , CARBON DIOXIDE AND ENERGY

b)

ETHANOL ,WATER AND ENERGY

c)

ETHAANOL, CARBON DIOXIDE AND ENERGY

d)

ALL OF THE ABOVE

83.

NAME THE STRUCTURE THAT IS LOCATED BETWEEN LEFT ATRIUM AND LEFT VENTRICLE WHICH PREVENTS THE BACK FLOW OF BLOOD.

a)

SEMI LUNAR VAVLE

b)

TRICUSPID VALVE

c)

BICUSPID VALVE

d)

BICUPSID VALVE

84.

BLOOD IS A FLUID CONNECTIVE TISSUE THAT HELPS IN

a)

TRANSPORT OF OXYGEN

b)

TRANSPORT OF NUTRIENTS

c)

TRANSPORT OF HORMONES

d)

ALL OF THE ABOVE

85.

LARGE AMOUNT OF ENERGY IS PRODUCED DURING

(a)  

86.

2 tubes entering the lungs

a)

pharynx

b)

larynx

c)

bronchus

d)

bronchioles

87.

smaller branches in lungs

a)

pharynx

b)

epiglottis

c)

bronchioles

d)

alveoli

88.

exchange of gases

a)

bronchus

b)

alveoli

c)

larynx

d)

pharynx

89.

________ is the tube that connects the larynx to the lungs.

a)

alveoli

b)

larynx

c)

pharynx

d)

trachea

90.

The ___________ is the dome shaped muscle below the lungs

a)

diaphragm

b)

rib

c)

alveoli

d)

trachea

91.
What are the reactants for cellular respiration?
a)
glucose and carbon dioxide
b)
water and glucose
c)
glucose and ATP
d)
glucose and oxygen
92.
What does it mean for something to be anaerobic?
a)
It requires CO2
b)
It does not require CO2
c)
It requires oxygen
d)
It does not require oxygen
93.
Where in the cell does aerobic respiration take place?
a)
Nucleus
b)
Cytoplasm
c)
Mitochondria
d)
Cell membrane
94.
What are the products of aerobic respiration?
a)
Glucose and oxygen
b)
Carbon dioxide and water
c)
Lactic acid
d)
Carbon monoxide
95.

The correct word equation for aerobic respiration is

a)

carbon dioxide + water (+ energy) → glucose + oxygen

b)

water + oxygen → carbon dioxide + glucose (+ energy)

c)

glucose + oxygen → carbon dioxide + water (+ energy)

d)

glucose + water → carbon dioxide + water (+ energy)

96.
Cellular respiration is similar in both plants and animals in what way?
a)
Energy is required and oxygen is released.
b)
Nitrogen is required and energy is released.
c)
Oxygen is required and energy is released.
d)
Oxygen is required and carbon is released.
97.
What happens to your breathing rate when you exercise?
a)
It increases
b)
It decreases
c)
It stays the same
98.

Cellular respiration is

a)

a chemical reaction and NOT the same as breathing

b)

the movement of air in and out of the lungs

c)

not a chemical reaction

99.

During heavy exercise when supply of oxygen to our muscles is insufficient food breakdown is by

a)

anaerobic respiration

b)

aerobic respiration

c)

cellular respiration

100.

What are the products of anaerobic respiration in a human cell?

a)

Energy and Lactic Acid

b)

Lactic Acid

c)

Lactic Acid and Carbon Dioxide

d)

Carbon Dioxide and Water