Free Printable IIT-JEE & NEET LEVEL- 2 (9

1.

Expand

a)

A

b)

B

c)

C

d)

D

2.

Condense

a)

A

b)

B

c)

C

d)

D

3.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

4.

Approximate its value to the nearest ten-thousandths using change of base formula. log₃7

a)

2.7712

b)

1.7712

c)

2

d)

1.7718

5.

Approximate the value to the nearest ten-thousandths using the change of base formula. log₂35

a)

1.5592

b)

5.9187

c)

5.1293

d)

1.8990

6.

7^y = 15

a)

2.8970

b)

1.3917

c)

1.8956

d)

5.2342

7.

Solve using the properties log₅x - log₅2 = log₅15

a)

6

b)

8

c)

15

d)

30

8.

Solve using the properties.

log₂(4x) + log₂5 = log₂40

a)

2

b)

1

c)

10

d)

8

9.

The common logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

10.

Write as a single log: log 12 + 2 log x

a)

log (12 + 2x)

b)

log (14x)

c)

log (12 * 2x)

d)

log (12x²)

11.

Condense each expression.
$\log_511+\log_57+2\log_53$

a)

$\log_5\left(77\cdot3^2\right)$

b)

$\log_5\left(3^2\sqrt{11}\right)$

c)

$\log_5\ \frac{11^6}{7^3}$

d)

$\log_5\sqrt{231}$

12.

Solve
$\log_4\ 4p\ =\ \log_4\ \left(2p+10\right)$

a)

$\frac{17}{15}$

b)

$5$

c)

-2

d)

No Solution

13.

Solve
$\log\ 5x^2-\log2=3$

a)

$\left\{5,\ -5\right\}$

b)

$\left\{2\right\}$

c)

$\left\{2,\ -2\right\}$

d)

{20, -20}

14.

Solve for x.
$\log_52+\log_5x=\log_520$
x = (a)

15.

Solve

\log_5x+\log_x25=3

a)

5

b)

10

c)

25

d)

30

16.

If log₅y – log₅√y = 2 log_y 5, then find the value of y.

a)

25

b)

35

c)

10

d)

15

17.

If\ \log\frac{a}{b}+\log\frac{b}{a}=\log\left(a+b\right).\ Then

a)

a + b = 1

b)

a - b = 1

c)

a = b

d)

ab=1

18.

Find the logarithm of 144 to the base $2\sqrt{3}$

a)

2

b)

4

c)

8

d)

None of these

19.

Which of the following statements is not correct?

a)

$\log10$ = 1

b)

$\log\left(2+3\right)=\log\left(2\times3\right)$

c)

$\log1=0$

d)

$\log\left(1+2+3\right)=\log\left(1\times2\times3\right)$

20.

If x, y and z are the sides of a right angled triangle, where ‘z’ is the hypotenuse, then find the value of

$\frac{1}{\log_{\left(x+z\right)}\ y}+\frac{1}{\log_{\left(x-z\right)}\ y}$

a)

1

b)

2

c)

3

d)

4

21.

What is an ionic bond?

a)

A bond between atoms where electrons are shared.

b)

A secret bond

c)

A bond that transfers to neutrons to another atom.

d)

A bond between atoms where one atom gains an electron and another loses an electron.

22.

What part of the atom makes a bond?

a)

Electrons

b)

Protons

c)

Neutrons

d)

Any subatomic particle

23.

What type of bond is formed between a metal and a nonmetal?

a)

Covalent

b)

Ionic

c)

Metallic

d)

Carina

24.

What type of bond is formed between two nonmetals?

a)

Artemis

b)

Ionic

c)

Metallic

d)

Covalent

25.

Hydrogen atoms come together to form a _________________

a)

Dancing bear

b)

Hydrogen molecule

c)

Carina molecule

d)

Artemis molecule

26.

What is the octet rule?

a)

Elements just are

b)

Elements keep electrons to make changes

c)

Elements keep electrons to stay the same

d)

Elements gain or lose electrons to fill their outer shell with 8 electrons

27.

Ionic Bonding involves...

a)

The transfer of protons

b)

The transfer of nuetrons

c)

The transfer of electrons

d)

None Of the above

28.

What two types of atoms make a covalent bond?

a)

2 Nonmetals

b)

1 Nonmetal and 1 Metal

c)

2 Metals

d)

2 Noble Gases

29.

What is the number of valence electrons for Oxygen?

a)

8

b)

6

c)

2

d)

1

30.

When drawing Lewis structures, all elements follow the _____ rule (except H and He) in order to be the most stable.

a)

Octave Rule

b)

Duet Rule

c)

Triad Rule

d)

Octet Rule

31.

What is the number of valence electrons for Oxygen?

a)

8

b)

6

c)

2

d)

1

32.

Ionic Bonding involves...

a)

The transfer of protons

b)

The transfer of nuetrons

c)

The transfer of electrons

d)

None Of the above

33.

What two types of atoms make a covalent bond?

a)

2 Nonmetals

b)

1 Nonmetal and 1 Metal

c)

2 Metals

d)

2 Noble Gases

34.

What type of bond is formed between a metal and a nonmetal?

a)

Covalent

b)

Ionic

c)

Metallic

d)

Carina

35.

What type of bond is formed between two nonmetals?

a)

Artemis

b)

Ionic

c)

Metallic

d)

Covalent

36.

What part of the atom makes a bond?

a)

Electrons

b)

Protons

c)

Neutrons

d)

Any subatomic particle

37.

What part of the atom makes a bond?

a)

Electrons

b)

Protons

c)

Neutrons

d)

Any subatomic particle

38.

What is the number of valence electrons for Oxygen?

a)

8

b)

6

c)

2

d)

1

39.

What is the number of valence electrons for Oxygen?

a)

8

b)

6

c)

2

d)

1

40.

What is the number of valence electrons for Oxygen?

a)

8

b)

6

c)

2

d)

1

41.

Ionic Bonding involves...

a)

The transfer of protons

b)

The transfer of nuetrons

c)

The transfer of electrons

d)

None Of the above

42.

12 Inches = Foot

a)

1

b)

3

c)

2

d)

4

43.

5280 Feet = Mile

a)

2

b)

1

c)

3

d)

4

44.

Cups = 1 Pint

a)

0

b)

1

c)

3

d)

2

e)

6

45.

Quarts = 1 Gallon

a)

3

b)

2

c)

5

d)

4

46.

How Many Tons are in 2000 Pounds

a)

1

b)

4

c)

2

d)

3

47.

1 Hour = Minutes

a)

70

b)

50

c)

61

d)

60

48.

1 Year = How Many Years ( Not Counting Leap Year )

a)

364

b)

375

c)

365

d)

367

49.

3 Feet = Yard(s)

a)

1

b)

3

c)

2

d)

5

50.

1 Cup = Ounces

a)

3

b)

8

c)

6

d)

4

51.

1 Quart = Pint

a)

5

b)

2

c)

3

d)

1

52.

1 Pound = Ounces

a)

15

b)

17

c)

16

d)

18

53.

24 Hours = Day

a)

4

b)

2

c)

3

d)

1

54.

24 Hours = Day

a)

4

b)

2

c)

3

d)

1

55.

24 Hours = Day

a)

4

b)

2

c)

3

d)

1

56.

24 Hours = Day

a)

4

b)

2

c)

3

d)

1

57.

a)

10 blocks

b)

11 blocks

c)

9 blocks

d)

13 blocks

58.

a)

5 blocks

b)

4 blocks

c)

6 blocks

d)

1 block

59.

a)

11 blocks

b)

7 blocks

c)

12 blocks

d)

5 blocks

60.

a)

9 blocks

b)

2 blocks

c)

1 block

d)

10 blocks

61.

There are three tenets of the Cell Theory. Which of the following is NOT a tenet?

a)

Cells are the basic structure and function of life.

b)

All living things are made of one or more cells.

c)

The cell is the basic unit of matter.

d)

All cells come from preexisting cells.

62.

____ is credited with being the first scientist to observe cork cells.

a)

Leewenhoek

b)

Shleidon

c)

Hooke

63.

Sometimes called the “powerhouse” of the cell, this organelle is where respiration takes place.

a)

Mitochondria

b)

Nucleus

c)

Vacuole

64.

Bacteria is classified as a what?

a)

Prokaryote

b)

Eukaryote

65.

There are three types of bacteria - Coccus, Bacilli, & Spirilla. Which of the following picture shows the spirilla.

a)

b)

c)

66.

If it does not rain for a long period of time, plants’ leaves will begin to wilt or sag. They have used up the water that they stored in their ___________

a)

Vacuole

b)

Chloroplast

c)

Mitochondria

67.

Which scientist was credited as being the first in observing cells?

a)

Hooke

b)

Leewenhoek

c)

Virchow

68.

This early cell theory scientist looked in a microscope and discovered "animalcules" in the gunk from his teeth and pond water.

a)

Schleiden

b)

Leeowenhoek

c)

Hooke

d)

Virchow

e)

Schwann

69.

Who discovered and named cells while looking at cork?

a)

Captain Hook

b)

Robert Hooke

c)

Matthais Schleiden

d)

Rudolf Virchow

70.

What was Schleiden convinced of?

a)

All plants are made of cells

b)

All animals are made of cells

c)

All cells are prokaryotic

d)

None of the above

71.

Who noted that all animals are made of cells and helped write the first two parts of cell theory?

a)

Rudolf Virchow

b)

Anton van Leeuwenhoek

c)

Theodor Schwann

d)

Robert Hooke

72.

Who discovered that all cells come from other living cells and had research that lead to the last major principle of cell theory?

a)

Matthias Schleiden

b)

Theodore Schwann

c)

Robert Hooke

d)

Rudolf Virchow

73.

Robert Hooke, Anton van Leeuwenhoek, Theodor Schwann, Rudolf Virchow, and Matthias Schliden were all responsible for what theory?

a)

The Theory of Gravity

b)

The Theory of Relativity

c)

The Cell Theory

d)

The Theory of Continental Drift

74.

All living things are made up of...

a)

cells

b)

tissues

c)

organ

d)

organ systems

75.

What is the basic structural and functional unit of all living things?

a)

atom

b)

cell

c)

bacteria

d)

animalcules

76.

All cells -----

a)

come from other dead cells

b)

come from other living cells

c)

crystallize out of the air

77.

The type of transport that uses energy

a)

active

b)

passive

c)

osmosis

d)

diffusion

78.

the type of transport that does not use energy

a)

active

b)

endocytosis

c)

exocytosis

d)

passive

79.

what are two types of transport that require energy?

a)

osmosis and diffusion

b)

endo and exocytosis

c)

cookies and milk

d)

active and passive

80.

what are two types of passive transport?

a)

endo and exocytosis

b)

cookies and milk

c)

active and passive

d)

Osmosis and diffusion

81.

The area of a rhombus whose diagonals are 9 cm and 7 cm is ______

a)

16 cm²

b)

63 cm²

c)

63 cm²

d)

16 cm²

82.

The side of a cube whose surface area is 600 cm² is____

a)

10 cm

b)

10 cm²

c)

60 cm

d)

6 cm

83.

Two cubes with 9 cm edge are joined end to end. Find the length of the newly formed solid.

a)

18 cm

b)

9 cm

c)

27 cm

d)

None of the above

84.

The sum of lengths of all sides of plane figure is called its____

a)

Area

b)

Perimeter

c)

Boundary

d)

None of the above

85.

a)

24 cm

b)

24 cm²

c)

25 cm

d)

25 cm²

86.

Say 'TRUE' or 'FALSE'
The perimeter of square of area 36 cm² is 24 cm.

a)

TRUE

b)

FALSE

87.

The side of a square whose perimeter is 64 cm is __________

a)

32 cm

b)

8 cm

c)

16 cm

d)

12 cm

88.

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

a)

60π

b)

68π

c)

120π

d)

136π

89.

Frustum of a right circular cone of height 16cm with radii of its ends as 8 cm and 20 CM then the volume of the frustum is

a)

3328π

b)

3228π

c)

3240π

d)

3340π

90.

What is the perimeter of an equilateral triangles whose side is 25 cm?

a)

50 cm

b)

100 cm

c)

75 cm

d)

125 cm

91.

The side of a square whose perimeter is 64 cm is __________

a)

32 cm

b)

8 cm

c)

16 cm

d)

12 cm

92.

6 km 435 m

a)

64,350 meters

b)

6,435 grams

c)

6,435 liters

d)

6,435 meters

93.

work out the perimeter of this shape

a)

29cm

b)

23cm

c)

35cm

d)

34cm

94.

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

a)

12cm

b)

10cm

c)

13cm

d)

5cm

95.

The area of a rhombus whose diagonals are 9 cm and 7 cm is ______

a)

16 cm²

b)

63 cm²

c)

63 cm²

d)

16 cm²

96.

Choose the correct answer to find the area of a circle

a)

$\pi r^2$

b)

$2\pi r^2$

c)

$2\pi r$

97.

Which of the following is the correct Pythagoras' Theorem?

a)

$c^2=a^2+b^2$

b)

$\ c^2=a^2-b^2$

c)

$a^2=b^2+c^2$

98.

Volume of a cube is 125 cu cm. Find its total surface area.

a)

150 sq cm

b)

25 sq cm

c)

150 sq cm

d)

100 sq cm

99.

The total surface area of a cuboid with dimension 10cm X 6cm X 5cm is

a)

280sq.cm

b)

300sq.cm

c)

360sq.cm

d)

600sq.cm

100.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

IIT-JEE & NEET LEVEL- 2 (9 - O)

Total questions: 100

Worksheet time: 2hrs 40mins

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