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IIT-JEE & NEET LEVEL- 5 (9-T)

Total questions: 100

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
Write as one logarithm. Simplify, if possible.
log39 + log327
a)
-1
b)
5
c)
4
d)
1
2.
Write as one logarithm. Simplify, if possible.
log2800 - log2100
a)
8
b)
3
c)
-3
d)
1
3.
Write as one logarithm. Simplify, if possible.
log5125 - log525
a)
1
b)
0
c)
5
d)
-1
4.
Evaluate.
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
5.
Evaluate.
3 log24
a)
3
b)
6
c)
2
d)
4
6.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
7.

Rewrite log28 = 3 in exponential form

a)

28 = 3

b)

23 = 8

c)

32 = 8

d)

83 = 2

8.

Write in exponential form

log232 = 5

a)

2-5 = 32

b)

232 = 5

c)

25 = 32

d)

325 = 2

9.
Solve for x.
3x = 27
a)
2
b)
4
c)
3
d)
5
10.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
11.

Write the logarithm expression as a single logarithm

log54 + log53

a)

log57

b)

log512

c)

log75

d)

3log54

12.

Write the logarithm expression as a single logarithm

log625 - log65

a)

log6125

b)

log520

c)

log65

d)

log630

13.

Write as one logarithm. Simplify, if possible.

log39 + log327

a)

log33

b)

log3243

c)

log31/3

d)

not possible

14.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
15.
Write in exponential form.
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
16.
Evaluate:
log416
a)
2
b)
4
c)
1/2
d)
-2
17.
log5(25) = y
a)
y = 2
b)
y = 0.5
c)
y = 5
d)
y = (1/2)
18.
log3(1) = y
a)
y = 0
b)
y = 1
c)
y = (1/3)
d)
y = 2
19.
Solve for x:
log33x = 5
a)
5
b)
4
c)
3
d)
243
20.

Evaluate the following logarithm:


log327

a)

3

b)

2

c)

-3

d)

1/3

21.

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

22.

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

23.

Total surface area of a hemisphere is how much times the square of its radius

a)

π

b)

4π

c)

3π

d)

2π

24.

How many faces does a cuboid have?

a)

12

b)

10

c)

6

d)

8

25.

Which of these is a 3D shape?

a)

Square

b)

Rectangle

c)

Circle

d)

Cube

26.

Which faces of cuboid have the same area?

a)

top and bottom

b)

front and back

c)

side faces

d)

all of these

27.

Shape of all the faces of cube are

a)

square

b)

rectangle

c)

trapezium

d)

rhombus

28.

Area of circle is equal to

a)

πr2

b)

2πr

c)

πr3

d)

4πr

29.

Area of parallelogram is equal to

a)

length x breadth

b)

1/2(base)(height)

c)

side x side

d)

base x height

30.
The sum of lengths of all sides of a plane figure is called its_____
a)
Area
b)
Perimeter
c)
Boundary
d)
None of the above
31.
Fill the blanks:
1 m2 = _________ cm2
a)
100
b)
1000
c)
500
d)
None of the above
32.
Write 'True' or 'False'
The perimeter of a square of area 36 cm2 is 24 cm  
a)
TRUE
b)
FALSE
33.
What is the surface area?
a)
420
b)
Red
c)
218.9
d)
339.3
34.
What shape is this?
a)
Triangle
b)
Octogon
c)
Cylinder
d)
This is not a shape (Fake news)
35.
The side of a cube whose surface area is 600 cm2 is____
a)
10 cm
b)
10 cm2
c)
60 cm
d)
6 cm
36.

The formula to find the volume of a hemisphere =

a)

 2πr22\pi r^2 

b)

 4πr24\pi r^2  

c)

 43πr3\frac{4}{3}\pi r^3  

d)

 23πr3\frac{2}{3}\pi r^3 

37.

The volume of a cone is ____________ of that of a cylinder

a)

three times

b)

equal

c)

half

d)

one third

38.

What is the formula to find the volume of a sphere ?

a)

23πr3\frac{2}{3}\pi r^3

b)

53πr3\frac{5}{3}\pi r^3

c)

43πr3\frac{4}{3}\pi r^3

d)

πr3\pi r^3

39.

Calculate the volume of the cuboid.

(a)  

40.
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
41.
Small grains that contain a plant's male reproductive cells.
a)
stamen
b)
pollen
c)
anther
d)
stigma
42.
The stalks in a flower that produce the male reproductive cells
a)
pistil
b)
stamen
c)
filament
d)
stigma
43.
Small leaf-like structures forming an outer circle at the base of a flower.
a)
petals
b)
sepal
c)
anthers
d)
dicots
44.
The part of a flower that produces the male reproductive cells.
a)
anther
b)
style
c)
stigma
d)
filament
45.
Brightly colored parts of flowers that attract insects.
a)
petals
b)
pistils
c)
stamen
d)
filaments
46.
The stalk connecting the ovaries and stigmas.
a)
filament
b)
pistil
c)
style
d)
anther
47.
They enclose the egg cells inside the ovaries.
a)
ovules
b)
anther
c)
seeds
d)
angiosperms
48.
They enclose the egg cells inside the ovaries.
a)
ovules
b)
anther
c)
seeds
d)
angiosperms
49.
The transfer of pollen, containing the sperm cells, to the female part of the flower. 
a)
seed disperal
b)
pollination 
c)
germination
d)
fertilization
50.
When a seed sprouts and begins the early growth of a young plant.
a)
germination
b)
pollination
c)
seed dispersal
d)
fertilization
51.
All of the following are examples of seed disbursement except:
a)
wind
b)
volcanic eruptions
c)
physical movement (rolling)
d)
animals feces
52.
This occurs after a tube grows down from the pollen grain through the style to the ovary.
a)
pollination
b)
germination
c)
fertilization
d)
seed dispersal
53.
Seed dispersal does not reduce competition between the seedlings and the parent plant for
a)
light
b)
oxygen
c)
water
d)
nutrients
54.

There are two types of pollination which are :

a)

cross pollination

b)

sexual pollination

c)

self pollination

d)

animal pollination

e)

water pollination

55.

Pollination is the transfer of mature pollen grains ____________________ of a flower

a)

from stigma to anther

b)

from anther to stigma

c)

from filament to style

d)

from style to filament

56.

-Do not have nectar

-Have large amount of pollen grain

-Floating pollen grains

Identify the correct pollination agents for the plant with above characteristics

a)

Wind

b)

Insect

c)

Animal

d)

Water

57.

-Long filament with big anthers

-Long style and feathery stigma

-Produce large quantities of light pollen grains

-Produce many small flowers

Based on the above characteristics of plants. Identify the plant's pollination agent.

a)

Insect

b)

Water

c)

Animal

d)

Wind

58.

When pollen grains land on the stigma, each pollen grain produces _________________

a)

sugary fluid

b)

pollen tube

c)

micropyle

d)

style

59.

Pollen tube carrying two male gametes grow down through the style and into _______________________

a)

ovule in the ovary

b)

ovary of the flower

c)

ovule in the petal

d)

ovule in the sepal

60.

Advantages of cross pollination are :

a)

High yield and better qualities of seed

b)

New plants are more resistant to diseases and pests

c)

New varieties of plants are produced

d)

Plants produce in large quantities

e)

Seeds are low qualities

61.
A distance vs. time graph shows an object's
a)
frame of reference
b)
speed
c)
acceleration
d)
favorite food
62.
All motion is described as relative because
a)
how do you ever really know if something is in motion
b)
motion means different things to different people
c)
everything in the universe is constantly in motion, so it depends on your frame of reference
63.

Kinematic equations links all of these things together

a)

time, space, and speed

b)

motion, acceleration, and force

c)

time, position, velocity, and acceleration

d)

force, acceleration, rate, and Roxann

64.
The graph represents
a)
No motion
b)
Constant velocity
c)
Acceleration
d)
Deceleration
65.
Which runner had a head start?
a)
A
b)
B
c)
C
66.
To find average velocity over a time interval,  divide the change in ___________by the change in time.
a)
position
b)
speed
c)
velocity
d)
acceleration
67.
Acceleration is the rate of change of ________________.
a)
position
b)
velocity
c)
speed
d)
swag
68.
The absolute value of velocity is ____________.
a)
position
b)
speed
c)
acceleration
d)
swag
69.
When velocity and acceleration are both negative, then the particle is _____________
a)
slowing down
b)
speeding up
c)
changing direction
d)
swagging
70.
If velocity is positive and speed is decreasing, then acceleration is _____________.
a)
positive
b)
negative
c)
zero
d)
unknown
71.
If the particle is moving to the left and speed is decreasing, then acceleration is _____________.
a)
positive
b)
negative
c)
zero
d)
unknown
72.
A turtle starts at x = 2 and travels to the right to stand briefly at x = 5, and then travels to the left and comes to a stop at x = -1.  What is the turtle's change in position (displacement)?
a)
negative 3 spaces
b)
positive 3 spaces
c)
7 spaces
d)
6 spaces
73.
A turtle starts at x = 2 and travels to the right to stand briefly at x = 5, and then travels to the left and comes to a stop at x = -1.  What is the turtle's total distance traveled?
a)
negative 3 spaces
b)
5 spaces
c)
7 spaces
d)
9 spaces
74.
a)

get tired

b)

get up

c)

get snacks

d)

wake up

75.
a)

go with the dog

b)

come with dog

c)

walk the dog

d)

go out with the dog

76.
a)

brash my teeth

b)

clean my teeth

c)

tidy up my teeth

d)

brush my teeth

77.
a)

play handball

b)

play volleyball

c)

play basketball

d)

play hockey

78.

Stolica

a)

Capital

b)

Porridge

c)

Steamed

d)

Caption

79.

The science of how the whole world works

a)

biology

b)

chemistry

c)

physics

d)

physiology

80.

A change in position

a)

displacement

b)

movement

c)

physics

d)

acceleration

81.

Chemical symbol for carbon

a)

Ca

b)

Cn

c)

C

d)

Cb

82.

Chemical symbol for magnesium

a)

Mg

b)

M

c)

Ma

d)

M

83.

Chemical symbol for sodium

a)

So

b)

No

c)

S

d)

Na

84.

Chemical symbol for oxygen

a)

O

b)

Ox

c)

On

d)

Oy

85.

Chemical formula for carbon dioxide

a)

CO

b)

CO2

c)

CO3

d)

C2O

86.

Name this compound MgCl2

a)

magnesium chlorine

b)

chlorine magnesium

c)

magnesium chloride

d)

magneium chlorate

87.

Name the compound with the formula KOH

a)

potassium hydride

b)

potassium oxide

c)

potassium oxygen hydrogen

d)

potassium hydroxide

88.

Chemical formula for sodium chloride

a)

NaCl2

b)

NaCl

c)

Na2Cl

d)

NaClO2

89.

The chemical symbol for carbon

a)

C

b)

H

c)

O

d)

Na

90.

The chemical formula for water.

a)

H

b)

O

c)

H2

d)

H2O

91.

The chemical symbol for nitrogen.

a)

N

b)

Cl

c)

Fe

d)

Pb

92.

The chemical symbol for chlorine.

a)

C

b)

Cl

c)

Fe

d)

Pb

93.

The chemical symbol for hydrogen.

a)

C

b)

H

c)

O

d)

Na

94.

What is the chemical formula of Magnesium chloride?

a)

MgCl

b)

MgCl2

c)

MgC

d)

MgC2

95.

What is the chemical formula of sodium sulfate?

a)

SSO4

b)

SoSO4

c)

NaSO4

d)

Na2SO4

96.

What is the name of this chemical, H2SO4?

a)

Hydrogen sulfate

b)

Sulfuric acid

c)

Sulfate

d)

Sulfate hydrogen

97.

What is the formula of nitric acid?

a)

H2SO4

b)

HNO3

c)

HCl

d)

hno3

98.

The chemical symbol for carbon

a)

C

b)

H

c)

O

d)

Na

99.

The chemical symbol for nitrogen.

a)

N

b)

Cl

c)

Fe

d)

Pb

100.

The chemical formula for ammonia.

a)

ClO

b)

NH3

c)

H2O

d)

CO2

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