Free Printable IIT-JEE & NEET LEVEL

1.

Simplify the following surd...

a)

3√2

b)

2√3

c)

9√2

d)

3√6

2.

Simplify the following surd...

a)

4√2

b)

2√3

c)

6√2

d)

4√3

3.

Simplify fully:
√32

a)

4√8

b)

16√2

c)

4√2

d)

4√4

4.

Simplify fully:
√32 + 5√32

a)

6√32

b)

24√8

c)

24√2

d)

6√8

5.

Simplify fully:
2√45 - 5√45 + 9√16

a)

-9√5 + 36

b)

-3√45 + 144

c)

6√16

d)

6√106

6.

Simplify fully:
√32 + √12

a)

4√2 +2√3

b)

6√5

c)

√44

d)

2√11

7.

$\sqrt{7}\times\sqrt{7}=$

a)

$7$

b)

$49$

c)

$\sqrt{7}$

d)

$14$

8.

$\sqrt{3}\div\sqrt{3}=$

a)

$1$

b)

$3$

c)

$0$

d)

$\sqrt{3}$

9.

$\sqrt{5}+\sqrt{5}=$

a)

$2\sqrt{5}$

b)

$0$

c)

$5$

d)

$\sqrt{10}$

10.

$\sqrt{3}-\sqrt{3}=$

a)

$0$

b)

$3$

c)

$\sqrt{3}$

d)

$1$

11.

$\sqrt{12}=$

a)

$2\sqrt{3}$

b)

$3\sqrt{2}$

c)

$4\sqrt{3}$

d)

$3\sqrt{4}$

12.

$4\sqrt{5}=$

a)

$\sqrt{80}$

b)

$\sqrt{100}$

c)

$\sqrt{20}$

d)

$\sqrt{9}$

13.

$\sqrt{2}\times\sqrt{3}=$

a)

$\sqrt{6}$

b)

$\sqrt{5}$

c)

$6$

d)

$5$

14.

$\sqrt{12}\div\sqrt{2}=$

a)

$\sqrt{6}$

b)

$\sqrt{10}$

c)

$6$

d)

$10$

15.

$2\sqrt{5}+3\sqrt{5}=$

a)

$5\sqrt{5}$

b)

$6\sqrt{5}$

c)

$5\sqrt{10}$

d)

$6\sqrt{10}$

16.

$2\sqrt{5}\times3\sqrt{5}=$

a)

$30$

b)

$25$

c)

$5\sqrt{5}$

d)

$6\sqrt{5}$

17.

$12\sqrt{6}-3\sqrt{6}=$

a)

$9\sqrt{6}$

b)

$4\sqrt{6}$

c)

$4$

d)

$9$

18.

$12\sqrt{6}\div3\sqrt{6}=$

a)

$9\sqrt{6}$

b)

$4\sqrt{6}$

c)

$4$

d)

$9$

19.

Which option shows the result of dividing 2 by 0?

a)

undefined

b)

indeterminate

c)

0

d)

2

20.

Which option shows the correct naming of the number −5?

a)

minus five

b)

negative five

c)

subtract five

d)

remove five

21.

Carbon

a)

CA

b)

Ca

c)

C

d)

Cn

22.

Zinc

a)

Z

b)

Zc

c)

Zi

d)

Zn

23.

Sn

a)

tin

b)

iron

c)

sulfer

d)

sodium

24.

Sulfur

a)

Sf

b)

Sr

c)

S

d)

Su

25.

Neon

a)

Nn

b)

No

c)

N

d)

Ne

26.

Calcium

a)

Ca

b)

CA

c)

Cl

d)

CL

27.

Copper

a)

C

b)

Co

c)

Cu

d)

CP

28.

Helium

a)

H

b)

He

c)

HE

d)

Hl

29.

Hydrogen

a)

H

b)

Hy

c)

Hg

d)

h

30.

Au

a)

Silver

b)

Golg

c)

Gold

d)

sliver

31.

Nickel

a)

Nc

b)

Ni

c)

N

d)

NI

32.

Mercury

a)

HG

b)

Hg

c)

H

d)

M

33.

Silver

a)

Ag

b)

AG

c)

S

d)

Au

34.

Carbon

a)

CA

b)

C

c)

Ca

d)

Cn

35.

N

a)

Sodium

b)

Nitrogon

c)

Nonium

d)

Nitrogen

36.

Pb

a)

Gold

b)

Lead

c)

peanut butter

d)

Paribium

37.

Iron

a)

Ir

b)

In

c)

Fe

d)

FE

38.

Potassium

a)

P

b)

K

c)

Pt

d)

k

39.

Aluminum

a)

A

b)

Al

c)

Am

d)

Au

40.

Mg

a)

Manganese

b)

Mangium

c)

Magnesium

d)

Manzanium

41.

What is light?

a)

Is all around us, and we need it to see.

b)

Is a force that we need.

42.

Light is a KIND of ENERGY.

a)

True

b)

False

43.

Which of these are examples of NATURAL sources of light?

a)

Sun

b)

Stars

c)

Lightning

d)

ALL of them

44.

Which of these are examples of ARTIFICIAL sources of light?

a)

Lightbulbs

b)

Neon signs

c)

Televisions

d)

ALL of them

45.

How does light travel/move?

a)

In ONE direction, VERY fast

b)

In ALL directions, VERY fast

46.

Energy waves bouncing off the surface of an object and returns energy back to the source.

a)

Reflection

b)

Refraction

c)

Lens

47.

The bending or redirection of energy waves as they pass from one substance to another.

a)

Reflection

b)

Refraction

c)

Lens

48.

A clear piece of curved glass or plastic that bends passing light to focus or spread the light rays.

a)

Reflection

b)

Refraction

c)

Lens

49.

Figure 1 demonstrates light travels in

a)

zig zags

b)

circles

c)

a straight line

d)

random bursts

50.

Lenses in glasses, binoculars, telescopes, etc will cause

a)

Rewind

b)

Reflection

c)

Refraction

d)

Reverse

51.

Smooth shiny objects will cause

a)

Rewind

b)

Reflection

c)

Refraction

d)

Reverse

52.

Which of these provides the best explanation for why the pencil appears broken?

a)

The pencil absorbs the light rays that hit it.

b)

Water reflects light rays away from the pencil.

c)

Light rays are bent by the water in the glass.

d)

The surface of the water reflects the light rays.

53.

Caleb is sitting near the window on a sunny day. When he closes the curtain, the room becomes darker. What property of the curtain allows it to make the room darker?

a)

The curtain absorbs light.

b)

The curtain is brightly colored.

c)

The curtain folds easily.

d)

The curtain is rectangular shape.

54.

At what point is the laser being reflected?

a)

A

b)

B

c)

C

d)

D

55.

Light travels in straight lines until reflected by another object. Which illustration best shows the light being reflected?

a)

b)

c)

d)

56.

Which of the following is the best example of an object absorbing light?

a)

A black sweater in the sun.

b)

A clean window in the sun.

c)

A curved mirror in the sun.

d)

A long shadow in the sun.

57.

Light rays from any light source travel outward in all directions along a straight path until they hit something. which of the following best represents what occurs when light rays hit a glass of water?

a)

The light rays will pass straight through from air to water.

b)

The water absorbs the light, and it will no longer be seen.

c)

The light rays will bend at the boundary of air and water.

d)

The surface of the water will reflect the light off the water.

58.

Which of the following types of electromagnetic radiation has the shortest wavelengths?

a)

Infrared

b)

Ultraviolet

c)

Visible light

d)

Radio waves

59.

When can water reflect light?

a)

When it's moving

b)

When it's still

c)

When it's flowing

60.

When we look into a glass mirror, light...

a)

Bends as it passes through

b)

Bounces back in a random order

c)

Hits the mirror and is absorbed

d)

Bounces back at the same angle it strikes the mirror at

61.

Calculate the area of a square with a side of 6.7cm.

(a)

62.

If a triangle has a base of 17mm and a height of 6.3mm, calculate the area.

(a)

63.

The area of a square is 8742.25cm². What is the length of one side?

(a)

64.

Solve for c

a)

7

b)

9

c)

13

65.

AREA OF CIRCLE IS ....

a)

$2\pi r$

b)

$\pi r^2$

c)

$\pi r$

66.

AREA OF SECTOR OF A CIRCLE IS .....

a)

$\frac{X\degree}{360\degree}\times\pi r^2$

b)

$\frac{X\degree}{360\degree}\times2\pi r$

c)

$\frac{X\degree}{360\degree}\times\pi r^3$

67.

THE PERIMETER OF THE REGULAR HEXAGON IS 21cm. CALCULATE THE LENGTH OF ONE SIDE.

a)

3.5cm

b)

216cm

c)

4.2cm

68.

CALCULATE THE PERIMETER OF THIS SHAPE

a)

440cm

b)

565cm

c)

630cm

69.

A quadrilateral having a pair of opposite sides parallel is called as

a)

rectangular

b)

square

c)

trapezium

d)

parallelogram

70.

The number of diagonals of a trapezium is

a)

0

b)

1

c)

2

d)

none of these

71.

a)

53.1

b)

62

c)

73

d)

52.9

72.

what is the formula for the perimeter of a rectangle

a)

2(l+b)

b)

l *w

c)

L *H

73.

A basketball court has a length of 4 feet and a height of 6 feet. What is the area of this basketball court?

a)

24 ft

b)

20 ft

c)

10 ft

d)

12 ft

74.

What is the perimeter of the basketball court in question 1? (length is 4 feet and height is 6 feet)

a)

22 ft

b)

25 ft

c)

28 ft

d)

20 ft

75.

Do you add, subtract, multiply or divide the sides to find perimeter?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

76.

Find the perimeter

a)

40 cm

b)

42 cm

c)

49 cm

d)

41 cm

77.

Find the area of a rectangle if its sides are equal to 4cm

and 10cm

a)

40

b)

42

c)

63

d)

84

78.

if a cube has a side with length 6cm. Calculate the total surface area.

a)

$216cm^2$

b)

$216cm^3$

79.

A cylinder-shaped glass has a base with radius of 5cm and the height is 15cm. Find the volume of the glass.

a)

$375\pi\ cm^2$

b)

$375\pi\ cm^3$

80.

a)

24 cm

b)

24 cm²

c)

25 cm

d)

25 cm²

IIT-JEE & NEET LEVEL - 4 (9-O)

Total questions: 80

Worksheet time: 1hrs 20mins

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