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IIT-JEE & NEET LEVEL- 5 (8-O)

Total questions: 101

Worksheet time: 2hrs 41mins

Name
Class
Date
1.

Is 5 a factor of 32?

a)

yes

b)

no

2.

Is 4 a factor of 30?

a)

yes

b)

no

3.
Which number is a factor of 10
a)
3
b)
4
c)
5
d)
8
4.

What is the LCM of 2,4,6

a)

4

b)

6

c)

2

d)

12

5.

HCF of 27 and 70

a)

5

b)

7

c)

10

d)

3

6.

Using a factor tree ,find the prime factorization of 48 in expanded form

a)

7x7x7

b)

2x2x2x2x3x3x5

c)

2x2x2x2x3

d)

2x12x12

7.

Which pair of numbers has a GCF of 5 ?

a)

50 and 25

b)

30 and 40

c)

10 and 25

d)

45 and 9

8.

Which of these is NOT a factor of 20?

a)

2

b)

6

c)

20

d)

4

9.

Prime Numbers have:

a)

2 pairs of factor

b)

1 factor

c)

Exactly 2 factors

d)

More than 2 factors

10.

Which answer lists all the factors for 40?

a)

1,2,4,5,8,12,14,40

b)

1,2,3,4,5,8,10

c)

1,2,4,5,8,10,20,40

d)

1,2,4,5,6,7,8,9,10

11.

What are the next three multiples? 6, 12, 18, ___ ,___ ,___

a)

24, 30, 34

b)

24, 36, 42

c)

24, 30, 36

d)

22, 28, 34

12.

write 140 as th product of its prime factors

a)

2x2x5x7

b)

2x2x2x2

c)

3x2x3x5

d)

7x9x5x2

13.
Solve
a)
15.64
b)
5.21
c)
16.64
d)
not here
14.
Solve
a)
6.15
b)
- 61.5
c)
55.5
d)
not here
15.
Solve
a)
-  2/3
b)
1/3
c)
- 1/3
d)
not here
16.
Solve
a)
1.24
b)
12.4
c)
.124
d)
not here
17.
What is the multiplicative inverse of 2/3?
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
18.
What is the additive inverse of 2/3?
a)
-2/3
b)
3/2
c)
2/3
d)
-3/2
19.
Identify the property
a(b + c) = ab + ac
a)
Associative of addtion
b)
Distributive
c)
Commutative of addition
d)
Inverse
20.

What property allows this statement to be true?

ab = ba

a)

Associative Property of Multiplication

b)

Distributive Property

c)

Commutative Property of Multiplication

d)

Associative Property of Addition

21.
Find the perimeter.
a)
32 in
b)
32 in2
c)
50 in
d)
50 in
22.
a)
52 cm2
b)
28 cm2
c)
1 cm2
d)
25 cm2
23.

Find the perimeter

a)

40 cm

b)

42 cm

c)

49 cm

d)

41 cm

24.
The side of a cube whose surface area is 600 cm2 is____
a)
10 cm
b)
10 cm2
c)
60 cm
d)
6 cm
25.
What is the area of the shaded figure? 
a)
4 square units 
b)
6 square units 
c)
10 square units 
d)
2 square units 
26.

What is the perimeter of this rectangle

a)

8cm

b)

15cm2

c)

16mm

d)

16 cm

27.

Area of parallelogram

a)

½ X Base X Height

b)

Base X Height

c)

A + B + C

d)

2(Length + Breadth)

28.

Which is the correct formula for the total surface area of a cone?

a)

πr2\pi r^2

b)

13πr2h\frac{1}{3}\pi r^2h

c)

πrl\pi rl

d)

πr2+πrl\pi r^2+\pi rl

29.

Which is the correct formula for the total surface area of a sphere?

a)

43πr2\frac{4}{3}\pi r^2

b)

4πr24\pi r^2

c)

4πr34\pi r^3

d)

43πr3\frac{4}{3}\pi r^3

30.
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
31.
The semi-perimeter of a triangle having sides 15cm,20cm and 25cm is
a)
60cm
b)
45cm
c)
30cm
d)
15cm
e)
32.
If the sides of a triangle are 3cm,4cm,and 5cm,then the area is
a)
3sq.cm
b)
6sq.cm
c)
9sq.cm
d)
12sq.cm
33.
The capacity of a water tank of dimensions 10m X 5m X 1.5 m is
a)
75 lits
b)
750 lits
c)
7500 lits
d)
75000 lits
34.
The volume of a cube whose side is 10 cm is
a)
1000 cu,cm
b)
2000cu.cm
c)
3000cu.cm
d)
100 cu.cm
35.
The volume of a cuboid whose dimensions are 12cm X8cm X6cm is
a)
576cu.cm
b)
276cu.cm
c)
176cu.cm
d)
256cu.cm
36.

The length of the edge of a cube is 60 cm. Find the volume of the cube.

a)

180 cm3180\ cm^3

b)

21600 cm221600\ cm^2

c)

216000 cm3216000\ cm^3

d)

720 cm3720\ cm^3

37.

Convert 216000 cm3cm^3  into  m3m^3  .

(a)  

38.

A toy is formed by joining a solid cone (base radius 6 cm, height 5 cm) to a hemisphere (radius 6 cm).

Calculate the volume of the toy. Give your answer to 3 sig. fig.

(a)  

39.

The outside of the bowl is to be painted. If it costs $0.30 to paint 1 cm2, how much does it cost to paint the bowl?

a)

$377

b)

$188

c)

$283

d)

$388

40.
Fill in the blanks:
1 m² = ___________ cm²
a)
100
b)
10000
c)
1000
d)
500
41.
A quantity that is ignorant of direction is referred to as a
a)
vector quantity
b)
scalar quantity
42.
A quantity that is has magnitude and  direction is referred to as a
a)
vector quantity
b)
scalar quantity
43.
An object can be moving for 10 seconds and still have zero displacement.
a)
True
b)
False
44.
You run from your house to a friend's house that is 3 km away. You then walk home. The distance you traveled is 6 km. What is your displacement? 
a)
6  km
b)
0 km
45.
A _________ quantity is completely described by magnitude alone. A _________ quantity is
completely described by a magnitude with a direction.
a)
vector, scalar
b)
scalar, vector
46.
Speed is a __________ quantity and velocity is a __________ quantity.
a)
scalar, vector
b)
vector, scalar
47.
The fastest trains are magnetically levitated above the rails to avoid friction (and are therefore called
MagLev trains...cool, huh?). The fastest trains travel about 250 km in a half an hour. What is their
average speed in km/hour?
a)
250 km/hr
b)
500 km/hr
c)
125 km/hr
48.
What is the formula to calculate speed?
a)
S = t/d
b)
S = d/t
c)
S = d x t
d)
S = t x d
49.
What is the formula to calculate speed?
a)
S = t/d
b)
S = d/t
c)
S = d x t
d)
S = t x d
50.
What is speed?
a)
how far you go
b)
how much distance is covered over a period of time
c)
how fast you accelerate
d)
the change in the location of a object
51.
What is velocity?
a)
the quickness of an object
b)
the location of an object
c)
acceleration
d)
speed in a specific direction
52.
A change in velocity over time is known as:
a)
acceleration
b)
constant speed
c)
average speed
d)
displacement
53.
How do you calculate average speed?
a)
divide total time by total distance
b)
multiply total time by total distance
c)
divide total distance by total time
d)
subtract total time from total distance
54.
The correct equation to calculate speed is
a)
distance/time
b)
time/distance
c)
distance x time
d)
distance/time2
55.
A distance vs. time graph shows an object's
a)
frame of reference
b)
speed
c)
acceleration
d)
favorite food
56.
Velocity is both ____ and _____. 
a)
speed , direction 
b)
direction, mass
c)
volume, density 
d)
direction, magnitude 
57.
The unit we use to measure acceleration is ___. 
a)
meters / second 
b)
meters 
c)
seconds 
d)
meters / second / second 
58.
The speedometer on your car tells you
a)
average velocity
b)
instantaneous velocity
c)
average speed
d)
instantaneous speed
59.
What is this graph representing?
a)
Constant Speed
b)
Acceleration (speeding up)
c)
Deceleration (slowing down)
d)
No motion
60.
What two measurements are necessary for calculating speed?
a)
Mass and time
b)
Temperature and mass
c)
Mass and distance
d)
Distance and time
61.
Most microorganisms cannot be seen without a...
a)
microscope
b)
magnifying lens
c)
telescope
d)
x-ray machine
62.
Which is a true statement?
a)
All microorganisms are harmful.
b)
All microorganisms are beneficial.
c)
Some microorganisms are harmful while others are beneficial.
d)
Microorganisms are beneficial only to humans.
63.
Yeast is used to make...
a)
rolls
b)
cakes
c)
pizza crust
d)
all of the above
64.
What is the cause of the common cold?
a)
bacteria
b)
cold temperatures
c)
sneezing and coughing
d)
viruses
65.
What is a way that you can protect yourself from microorganisms that can live on food?
a)
Store uncooked meats in a refrigerator or freezer. 
b)
Wash hands with soap and water before and after handling food.
c)
Cook chicken and other raw meats thoroughly.
d)
All of the above
66.
Which best describes where you would find microorganisms?
a)
in ponds, lakes, and oceans.
b)
in animals, plants, and humans.
c)
on food that has rotted.
d)
everywhere around us.
67.
______________ helps us  digest our food and they produce needed vitamins.
a)
Bacteria
b)
Fungi
c)
Protozoa
d)
Algae
68.
Yogurt and cheese  can be produced from ___________.
a)
Bacteria
b)
Virus
c)
Protozoa
d)
Algae
69.
The smallest microorganism on earth is known as  _____________
a)
a virus
b)
bacteria
c)
algae
d)
fungi
70.
Algae and plankton are helpful microorganisms.
a)
True
b)
False
71.
What is Penicillin (medicine) made from?
a)
Water
b)
Sugar
c)
Mold
d)
Algae
72.
Some fungus can provide food.
a)
True
b)
False
73.
Toxic algae is:
a)
Helpful
b)
Harmful
c)
Both
d)
Neither
74.
Anti-bacterial means:
a)
active against bacteria.
b)
feeds bacteria and helps it grow.
c)
has no effect on bacteria.
d)
sometimes works against bacteria, but not always.
75.
Anti-bacterial agents can include:
a)
creams, lotions, water
b)
hot water, soap, 
c)
lotion, soap, cold water
d)
tissues, hand sanitizer, soap
76.
Most microorganisms cannot be seen without a...
a)
microscope
b)
magnifying lens
c)
telescope
d)
x-ray machine
77.
One celled organism with a nucleus
a)
Bacteria
b)
Protists
c)
Fungi
d)
Virus
78.
One celled organisms with no nucleus
a)
Bacteria
b)
Protists
c)
Fungi
d)
Virus
79.
Tiny hair-like structures uses for movement and gathering food by single celled organisms
a)
Flagella
b)
Pseudopods
c)
Cilia
d)
Cytoplasm
80.
A disease, common in tropical areas of the world, that is caused by the the protist plasmodium
a)
E. Coli
b)
Black Plague
c)
Malaria
d)
Smallpox
81.
What is at the center of every atom?
a)
An electron
b)
A compound
c)
A molecule
d)
A nucleus
82.

What is the atomic number of chlorine?

a)

35

b)

18

c)

7

d)

17

83.

How many protons are there in an atom of aluminium?

a)

27

b)

13

c)

14

d)

17

84.

What is the symbol of manganese?

a)

Mg

b)

M

c)

Ma

d)

Mn

85.
What are valence electrons?
a)
electrons on the first orbital always
b)
nucleus
c)
the outermost shell
d)
the number of electrons on the outermost orbital
86.
Oxygen’s atomic number is 8. This means that an oxygen atom must have
a)
8 electrons
b)
8 protons
c)
8 neutrons
d)
a mass number of 8
87.

Protons are

a)

negative

b)

positive

c)

neutral

88.

Thompson was the first to discover a subatomic particle - the electron. What are the others?

a)

neutrons & positrons

b)

protons & neutrons

c)

positrons & quarks

d)

protons & positrons

89.

Rutherford concluded that the amount of positive charge varies

a)

with the amount of electrons in the nucleus.

b)

as the the amount of isotopes varies.

c)

with the amount of neutrons in the nucleus.

d)

with different elements.

90.

The word "proton" comes from an ancient Greek word meaning

a)

amber.

b)

to change or become flexible.

c)

proteus.

d)

positive.

91.

Electrons are subatomic particles that exist

a)

inside the nucleus.

b)

in simultaneous dimensions.

c)

in parallel universes.

d)

outside the nucleus.

92.
all matter is made of what 
a)
energy 
b)
atoms 
c)
electrons 
d)
compounds 
93.

Only protons & neutrons can be distinguished by mass, charge and position in an atom.

a)

True

b)

False

94.
Particles in an atom that are neutral and have no charge are 
a)
negatrons 
b)
electrons 
c)
neutrons 
d)
protons 
95.
an atom with atomic number 6 would have how many protons 
a)
6
b)
12
c)
3
d)
cannot be determined 
96.
the central region of an atom where its neutrons and protons are is its 
a)
nucleus 
b)
electron cloud
c)
core 
d)
center 
97.
The positive particles of an atom are 
a)
electrons 
b)
positrons 
c)
neutrons 
d)
protons 
98.
all matter is made of what 
a)
energy 
b)
atoms 
c)
electrons 
d)
compounds 
99.
How many protons are in the element, "Sodium?"
a)
23
b)
11
c)
13
d)
14
101.
How many electrons are in the element oxygen?
a)
7
b)
10
c)
8
d)
9
101.
How many electrons are in the element oxygen?
a)
7
b)
10
c)
8
d)
9