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ADMISSION TEST FOR IIT FOUNDATION

Total questions: 100

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Which algebraic expression represents the statement "4 more than the product of 6 and a number n"?

a)

4n+6

b)

6-4n

c)

4-6n

d)

6n+4

2.

What is the value of  33−(42−23)3^3-\left(4^2-2^3\right)  ?

a)

-1

b)

7

c)

19

d)

35

3.

Simplify  4(2x+1)−(−6x)4\left(2x+1\right)-\left(-6x\right)  

a)

14x + 4

b)

8x - 2

c)

2x + 4

d)

-14x - 4

4.

Write an equation for the sentence: the difference of 6n and -5 is -13.

a)

6n - 5 = -13

b)

5 - 6n = -13

c)

6n−5=−13\frac{6n}{-5}=-13

d)

6n - (-5) = -13

5.
What is the simplified form of this expression?
(0.2)4
a)
0.8
b)
0.16
c)
0.0008
d)
0.0016
6.
What is an algebraic expression for this word phrase?
Five times a number
a)
5n
b)
5 + n
c)
n - 7
d)
n/7
7.
Find the volume.
a)
160
b)
80
c)
240
d)
800
8.
How many vertices are on this shape?
a)
0
b)
16
c)
4
d)
24
9.
What is this the formula for?
Volume of ____________
a)
Pyramids
b)
Spheres
c)
Prisms
d)
Cylinders
10.

Which ordered pair below would PREVENT this table from being a function?

a)

(10, 10)

b)

(2, 4)

c)

(6, 1)

d)

(-2, 0)

11.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
12.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
13.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
14.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
15.
The sum of three consecutive integers is 225. What are the three integers?
a)
75, 75, 75
b)
100, 75, 75
c)
75, 76, 77
d)
74, 75, 76
16.

Given the equation 3x + y = 5 and x =1, what is the value of y?

a)

1

b)

2

c)

3

d)

4

17.

 7x−3=7x+57x-3=7x+5  

a)

No Solution

b)

Infinite Solutions

c)

 x=2x=2  

d)

 x=8x=8  

18.
If a pair of linear equations is consistent, then the lines will be 
a)
 parallel
b)
always coincident
c)
intersecting or coincident
d)
 always intersecting
19.
Which part of the equation is a variable?
81  ÷  n = 9
a)
9
b)
n
c)
81
d)
=
20.
Which of the following is a solution to the equation
2x + 3y = 12
a)
(0, 3)
b)
(3, 2)
c)
(2, 0)
d)
(-1, -4)
21.
Three times the sum of a number and 7 is equivalent to 57. 
a)
3x + 7 = 57 
b)
3(x + 7) = 57
c)
7x + 3 = 57 
d)
7(x + 3) = 57
22.
Translate the sentence into an equation:
The product of a number and two-thirds is 24.
a)
2/3 + x = 24
b)
2/3 x = 24
c)
3/2 x = 24
d)
x / (2/3) = 24
23.
Find the sum. 
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
24.
(4a + 6ab - b) + (-2a - ab + 3b)
a)
2a + 7ab + 2b
b)
6a + 5ab - 2b
c)
6a + 7ab + 4b
d)
2a + 5ab + 2b
25.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
26.
2 + (92 - 4)
a)
16
b)
77
c)
79
27.
Evaluate the equation:
4 · 3 - 7
a)
10
b)
20
c)
41
d)
5
28.
Round 23.542 to the nearest tenth.
a)
23.5
b)
23.6
c)
23.54
d)
23
29.
Find the LCM of 18 and 24
a)
6
b)
72
c)
24
d)
5
30.
Which operation would you do first?
10 - ( 9 + 3 ) ÷ 2
a)
Subtraction
b)
Addition
c)
Division
d)
Multiplication
31.

What is potential energy?

a)

moving energy

b)

stored energy

c)

renewable energy

d)

non renewable energy

32.

Which do you want the most of in your diet?

a)

Protein

b)

Sugar

c)

Trans Fat

d)

Saturated Fat

33.
The purpose of carbohydrates is:
a)
to provide a layer of insulation for protection.
b)
to boost the immune system and fight off infection.
c)
to provide the body with energy.
d)
to help us get a good night's rest.
34.

The body's main source of energy

a)

Protein

b)

Vitamins

c)

minerals

d)

Carbohydrates

35.
Which nutrient carries nutrients to cells and waste from the body?
a)
carbohydrates
b)
proteins
c)
fats
d)
water
36.
Which of the following foods is NOT a carbohydrate?
a)
rice
b)
bread
c)
fruit 
d)
fish
37.

This nutrient helps in digestion, removes waste, and regulates body temperature.

a)

Fats

b)

Water

c)

Carbohydrates

d)

Saturated fats

38.
Grains are a good source of...
a)
Protein
b)
Carbohydrates
c)
Sugar
d)
Water
39.
Which type of bond has an unequal sharing of electrons?
a)
Polar Covalent 
b)
Non Polar Covalent
c)
Ionic
d)
Metallic
40.
Chemical bonds form when atoms
a)
combined nuclei
b)
give up neutrons
c)
gain protons
d)
share or transfer electrons
41.
If an atom loses two electrons what charge will it have?
a)
+ 2
b)
 - 2
c)
+1
d)
-1
42.
How many valence electrons in this structure?
a)
6
b)
5
c)
4
d)
7
43.

Covalent bonding is between a

a)

nonmetal and nonmetal

b)

metal and nonmetal

c)

metal and metal

d)

It depends on the situation

44.
89 g = _________kg
a)
0.089
b)
8.9
c)
8,900
d)
89,000
45.

What is the symbol for the prefix kilo-?

a)

L

b)

m

c)

k

d)

kg

46.
What is the speed of an object that travels 60 meters in 4 seconds?
a)
240 m/s
b)
15 m/s
c)
0.067 m/s
d)
15 mph
47.
The equation to calculate momentum is
a)
p=mv
b)
p=1/2mv2
c)
p=mgh
d)
p=mg
48.
A 50 kg ball rolls down the street at 5 m/s. Calculate the momentum of the ball. 
a)
55 kg*m/s
b)
100 kg*m/s
c)
250 kg*m/s
d)
500 kg*m/s
49.
What is velocity?
a)
the quickness of an object
b)
the location of an object
c)
acceleration
d)
speed in a specific direction
50.
Which of the following is a unit for acceleration?
a)
km/s
b)
m/s2
c)
mi/hr
d)
ft
51.
What is the formula to calculate speed?
a)
Speed = time/distance
b)
Speed = distance/time
c)
Speed = distance x time
d)
Speed = time x distance
52.
Acceleration can be classified as _______________
a)
Speeding up
b)
Slowing Down
c)
Changing directions
d)
All of the above
53.

Newton's 1st Law (An object at rest will remain at rest, and an object in motion ... etc.) is also called the law of ______.

a)

inertia

b)

acceleration

c)

force

d)

motion

e)

mass

54.

______ is defined as "The tendency of an object to resist a change in its motion."

a)

acceleration

b)

velocity

c)

weight

d)

inertia

55.
A magnet is the strongest at the _________
a)
top
b)
middle
c)
bottom
d)
poles
56.
Which type of bond has an unequal sharing of electrons?
a)
Polar Covalent 
b)
Non Polar Covalent
c)
Ionic
d)
Metallic
57.

Which of the following may be heterogeneous?

a)

elements only

b)

compounds only

c)

mixtures only

d)

elements and compounds

58.

in which of the following diffusion is faster?

a)

solid in liquid

b)

liquid in liquid

c)

gas in gas

d)

none of the above

59.
The ray of light that strikes a reflecting surface is called ________.
a)
incident ray
b)
reflected ray
c)
normal ray
d)
none of the above
60.

Which of the following is NOT matter?

a)

a chair

b)

air

c)

light

d)

water

61.

S.I unit of thermodynamic temperature is

a)

degree Celcius

b)

kelvin

c)

Candela

d)

Mandela

62.

SI unit of luminous intensity :

a)

Mandela

b)

ampere

c)

mole

d)

Candela

63.

An unknown salt produces a red flame during in a flame test. What cation does it contain?

a)

chloride

b)

lithium

c)

copper

d)

calcium

64.

Which of the following elements will form a cation?

a)

Arsenic

b)

Copper

c)

Bromine

d)

Fluorine

65.
A powder is placed into a bunsen burner flame. The colour of the flame is red. The ion is
a)
Na
b)
Li+
c)
Cu2+
d)
Ca
66.
Silver nitrate and Nitric acid were mixed with an unknown solution. A cream ppt formed. The formula of the ion present is
a)
I-
b)
Br+
c)
Br-
d)
Cl+
67.
NaOH is added to an unknown solution. A blue ppt forms. The formula of the ion is:
a)
Fe
b)
Fe3+
c)
Fe2+
d)
Cu2+
68.
NaOH is added to an unknown solution. A green ppt forms. The formula of the ion is:
a)
Fe2+
b)
Fe3+
c)
Cu2+
d)
Na+
69.
How do you test for hydrogen gas?
a)
Relight a glowing splint
b)
Makes a squeaky pop with a lit splint
c)
Turns limewater milky
d)
Bleaches damp limtus paper
70.
How do you test for oxygen gas?
a)
Makes a squeaky pop with a lit splint
b)
Relights a glowing splint
c)
Bleaches damp litmus paper
d)
Turns limewater milky
71.
Metal ion with a lilac flame
a)
Na+
b)
K+
c)
Na2+
d)
K2+
72.

In flame testing, what element is indicated by an yellow flame?

a)

Carbon

b)

Sodium

c)

Copper

d)

Lithium

73.

A cream precipitate produced from an unknown salt with nitric acid and silver nitrate means the anion is?

a)

chloride

b)

bromide

c)

iodide

d)

sulphate

74.

A chloride salt is reacted with barium chloride, what observation would you make

a)

No change

b)

white precipitate

c)

bubbles

d)

white

75.

What gas is formed when a carbonate reacts with an acid

a)

oxygen

b)

carbon dioxide

c)

hydrogen

d)

chlorine

76.
If there was a one-to-one ratio of potassium ions to iodide ions, its formula would like like this - 
a)
PI
b)
K1I1
c)
KI
d)
None of the options
77.
You see a formula in which the symbols are connected by a long dash.  You can assume the chemical bonds are - 
a)
metallic
b)
unstable
c)
covalent
d)
ionic
78.
The elements most likely to form more than one type of ion are called  -
a)
the alkali metals
b)
halogens
c)
transition metals
d)
non-metals
79.
An alloy that contains mainly iron and carbon is - 
a)
bronze
b)
sterling silver
c)
stainless steel
d)
brass
80.
Potassium is a very highly reactive ____ with ____ valence electron(s).
a)
glass, 3
b)
metal, 1
c)
metal, 8
d)
none of the options
81.
In a ____ bond, atoms ____ electrons.
a)
ionic, share
b)
covalent, transfer
c)
covalent, share
d)
none of the options
82.

The chemical bond formation is always

a)

Endothermic

b)

Exothermic

c)

Either exothermic or Endothermic

d)

Neither exothermic nor Endothermic

83.

In CO2 the valence of Carbon is

a)

2

b)

4

c)

3

d)

5

84.

In Cl2O7 the valence of Cl is

a)

6

b)

5

c)

7

d)

2

85.

A group of stars that form a certain pattern in the sky.

a)

asteroids

b)

comets

c)

constellations

d)

galaxy

86.

who is responsible for the high and low tides in the ocean?

a)

the moon

b)

the human activity

c)

the animals in the ocean

d)

none of the above

87.

what is the name of the force that attracts the bodys to the center of the planet?

a)

magnetism

b)

electricity

c)

gravity

d)

kinetic movement

88.
The ability to make things move by doing work is called...?
a)
Light
b)
Energy
c)
Speed
d)
Position
89.
Objects that are higher have _________ potential energy than something on the ground
a)
the same amount of
b)
less
c)
more
d)
no
90.

For its propagation sound requires__________

a)

Air

b)

Iron

c)

Water

d)

All of the above

91.

The doctor advised me to avoid _______ fast food.

a)

a) eating

b)

b) to eat

c)

c) eat

d)

d) to eating

92.

The mice found _______ in a shallow swamp.

a)

a) itself

b)

b) herself

c)

c) himself

d)

d) themselves

93.

The ancient castle _______ in 1100 AD.

a)

a) was building

b)

b) was built

c)

c) will be built

d)

d) is built

94.

COMPLETE NEXT SENTENCE

_______ you want a cup of coffee?

a)

Does

b)

Are

c)

Do

95.

This is Melany

________ to meet you

________ to meet you _______

a)

Nice / good / to

b)

Nice / Nice / to

c)

Nice / Nice / too

96.

We should use energy – saving bulbs to save…………………………

a)

energy

b)

garbages

c)

water

d)

power

97.

What is the direction of the screwdriver to tighten the screw?

a)

clockwise

b)

counterclockwise

c)

push down

d)

push up

98.

The _____ is made up of millions of computers connected to form a network.

a)

Internet

b)

Search engine

c)

Firewall

d)

Web

99.

_____ are programs designed to help people find information stored on other sites on the Internet.

a)

URLs

b)

Search sites

c)

Web browsers

d)

Search engines

100.

the prefix for multiplex 10-6 is

a)

mega

b)

nano

c)

milli

d)

micro

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