Free Printable ADDMISSION TEST FOR IIT FOUNDATION

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 $3^3-\left(4^2-2^3\right)$ ?

a)

-1

b)

7

c)

19

d)

35

3.

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

a)

14x + 4

b)

8x - 2

c)

2x + 4

d)

-14x - 4

4.

What is an algebraic expression for this word phrase?
The quotient of a number and seven

a)

5n

b)

5 + n

c)

n - 7

d)

n/7

5.

What is an algebraic expression for this word phrase?
Five times a number

a)

5n

b)

5 + n

c)

n - 7

d)

n/7

6.

What is the simplified form of this expression?
(0.2)⁴

a)

0.8

b)

0.16

c)

0.0008

d)

0.0016

7.

The domain of the function is given by:

a)

D={x | -2< x < 2}

b)

D={x | -2≤ x ≤ 2}

c)

D={x | x≠±2}

d)

D={x | ℝ}

8.

What is the value of $-9\ +\ \left(2^3-3^2\right)$

a)

-26

b)

-10

c)

-8

d)

-4

9.

Tony purchased 5 tickets online for a show. The tickets cost $12 each plus there was a $3.50 service fee for the order. How much money did Tony spend for the tickets?

a)

$15.50

b)

$51.50

c)

$60.00

d)

$63.50

10.

Write an English phrase that would translate into the following mathematical expression.

$3z-2$

a)

3 less than the product of 2 and a number z

b)

The quotient of 3 times a number z and

c)

2 less than the product of 3 and a number z

d)

3 times the difference of a number z and 2

11.

Evaluate the expression below for x=5 and y=3.

x^2+3\left(x+y\right)

a)

27

b)

49

c)

54

d)

70

12.

Evaluate the expression for x=2 and y=6.

$\frac{2y-4}{x}$

a)

1

b)

2

c)

4

d)

8

13.

Write the equation in slope-intercept form.

$x\ +\ 2y\ =10$

a)

$y=-2x+5$

b)

$y=-\frac{1}{2}x+5$

c)

$y=-\frac{1}{2}x-5$

d)

$2y=-x+10$

14.

For the function,

f\left(x\right)=-3x+3

find

f\left(0\right)

.

a)

$0$

b)

$-3$

c)

$3$

d)

$-1$

15.

Simplify the expression

n+4-9-5n

a)

$4n-5$

b)

$-4n-5$

c)

$4n+5$

d)

$-4n+5$

16.

Solve

\frac{x}{4}+8=3

a)

$x=-10$

b)

$x=10$

c)

$x=-20$

d)

$x=20$

17.

Solve

\frac{6}{2y-5}=\frac{2}{y-7}

a)

$y=6$

b)

$no\ solution$

c)

$y=16$

d)

$\infty\ solutions$

18.

Solve for y:
y + 2 = 3x

a)

y = 2x + 3

b)

y= 3x +2

c)

y= 3x -2

d)

y= 6x

19.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

20.

Which operation would you do first?
10 - ( 9 + 3 ) ÷ 2

a)

Subtraction

b)

Addition

c)

Division

d)

Multiplication

21.

(4a + 6ab - b) + (-2a - ab + 3b)

a)

2a + 7ab + 2b

b)

6a + 5ab - 2b

c)

6a + 7ab + 4b

d)

2a + 5ab + 2b

22.

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

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.

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

25.

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)

26.

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

27.

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

28.

What is this the formula for?
Volume of ____________

a)

Pyramids

b)

Spheres

c)

Prisms

d)

Cylinders

29.

How many vertices are on this shape?

a)

0

b)

16

c)

4

d)

24

30.

Which expression is equivalent to -3.2(2x - 2.1) ?

a)

-6.4x + 6.72

b)

-6.4x - 6.72

c)

6.4x + 6.72

d)

-6.4x + 2.1

31.

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

a)

6n - 5 = -13

b)

5 - 6n = -13

c)

$\frac{6n}{-5}=-13$

d)

6n - (-5) = -13

32.

Find the area of the regular polygon.

a)

$4\sqrt{2}\ m^2$

b)

$16\ m^2$

c)

$64\ m^2$

d)

$32\ m^2$

33.

$u=a+k$
Solve for $a$

a)

$a=u-k$

b)

$a=-u-k$

c)

$a=ku$

d)

$a=\frac{u}{k}$

34.

$5\left(1-4x\right)-4\left(5x+2\right)=x-3+4x$

a)

-5

b)

6

c)

13

d)

0

35.

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

36.

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

37.

In a ____ bond, atoms ____ electrons.

a)

ionic, share

b)

covalent, transfer

c)

covalent, share

d)

none of the options

38.

An alloy that contains mainly iron and carbon is -

a)

bronze

b)

sterling silver

c)

stainless steel

d)

brass

39.

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

40.

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

41.

A scientific theory

a)

is a guess about how or why something happens

b)

is a broad explanation of how the natural world works based on evidence

c)

can never be altered

d)

none of the above

42.

Which statement below correctly identifies the difference between a hypothesis and a theory?

a)

A hypothesis is a prediction, while a theory is an explanation

b)

A hypothesis is an explanation, while a theory is just an opinion

c)

A hypothesis is a guess, while a theory is a fact

d)

A hypothesis is a fact, while a theory is a guess

43.

Which of the following is a scalar?

a)

Displacement

b)

Distance

c)

Velocity

d)

None of the above

44.

sound can not travel through .......

a)

ocean water

b)

distilled water

c)

vacuum

d)

air

45.

The hearing range of human ear is

a)

20 Hz to 20,000 Hz

b)

Less than 20 Hz

c)

More than 20,000 Hz

d)

20 Hz to 25,000 Hz

46.

What is the number of sound waves that pass a point in one second called?

a)

compression

b)

frequency

c)

speed

d)

wavelength

47.

What word describes how loud or soft a sound is?

a)

frequency

b)

pitch

c)

timbre

d)

volume

48.

Sound travels fastest in

a)

Solid

b)

Liquid

c)

Gas

d)

All of the above

49.

Police and ambulance sirens use sound of ....

a)

Low energy

b)

Low wavelenght

c)

Low frequency

d)

High speed

50.

The range of normal person able to hear is called

a)

Infrasound

b)

Ultrasound

c)

Audible frequency

51.

Which type of bond has an unequal sharing of electrons?

a)

Polar Covalent

b)

Non Polar Covalent

c)

Ionic

d)

Metallic

52.

Which of the following may be heterogeneous?

a)

elements only

b)

compounds only

c)

mixtures only

d)

elements and compounds

53.

What is matter made up of?

a)

particles that are too large to be seen

b)

tiny butter particles

c)

particles that are too small to be seen

d)

tiny water particles

54.

Which among the following is synthetic materials?

a)

wood

b)

water

c)

clothes

d)

air

55.

The angle produced as a source of light bounces off a reflecting surface is called ______.

a)

angle of crookedness

b)

angle of reflection

c)

angle of incidence

d)

angle of bounce

56.

what is the angle between the incident ray and the normal called as

a)

angle of incidence

b)

angle of reflection

c)

angle of convergent

d)

angle of divergent

57.

straight lines that represent light waves

a)

rays

b)

image

c)

reflection

d)

visible light

58.

Which of these statements is true?

a)

Light travels in straight lines.

b)

Light is stopped when it meets a solid object.

c)

Light does not travel in straight lines.

d)

Light will only travel for about 2000km before it stops.

59.

What does NPK stand for?

a)

Nutrients, Pancakes, Kittens

b)

Nitrogen, Phosphorus, Potassium

c)

Nitrogen, Potassium, Phosphorus

60.

C.G.S Units of accelaratoin

a)

M/Sec²

b)

Km/h²

c)

Cm/Sec²

d)

Sec/m²

61.

Which gas put off the fire with a "pop"Sound

a)

N₂

b)

H₂

c)

O₂

d)

CO₂

62.

Chemical formula of Common Salt

a)

BaCl₂

b)

KCl

c)

NaCl

d)

MgCl₂

63.

_______ Partical as Negitive Charge

a)

Molecule

b)

Protein

c)

Neutron

d)

Electron

64.

cell organette present in the plant cell, absent in animal cell

a)

vacuole

b)

nucleus

c)

mitochondria

d)

plasma

65.

Element present in bones

a)

calcium

b)

Manganese

c)

Magnesium

d)

Iodine

66.

Universal donar is

a)

O

b)

A

c)

B

d)

AB

67.

Chemical bonds form when atoms

a)

combined nuclei

b)

give up neutrons

c)

gain protons

d)

share or transfer electrons

68.

Covalent bonding is between a

a)

nonmetal and nonmetal

b)

metal and nonmetal

c)

metal and metal

d)

It depends on the situation

69.

What is the symbol for the prefix kilo-?

a)

L

b)

m

c)

k

d)

kg

70.

What is velocity?

a)

the quickness of an object

b)

the location of an object

c)

acceleration

d)

speed in a specific direction

71.

Which of the following is a unit for acceleration?

a)

km/s

b)

m/s²

c)

mi/hr

d)

ft

72.

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

73.

Which of the following may be heterogeneous?

a)

elements only

b)

compounds only

c)

mixtures only

d)

elements and compounds

74.

SI unit of luminous intensity :

a)

Mandela

b)

ampere

c)

mole

d)

Candela

75.

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

76.

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+

77.

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

a)

No change

b)

white precipitate

c)

bubbles

d)

white

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.

In a ____ bond, atoms ____ electrons.

a)

ionic, share

b)

covalent, transfer

c)

covalent, share

d)

none of the options

80.

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

a)

asteroids

b)

comets

c)

constellations

d)

galaxy

81.

O-H bond is weaker in the case of _______________ as electron density increases between O-H bond

a)

Primary alcohols

b)

tertiary alcohols

c)

both(1) & (2)

d)

none of the above

82.

the correct acidic nature of alcohols as follows

a)

CH₃OH< primary alcohols < secondary alcohols < tertiary alcohols

b)

CH₃OH>primary alcohols > secondary alcohols > tertiary alcohols

c)

CH₃OH>primary alcohols < secondary alcohols > tertiary alcohols

d)

both (1) & (3)

83.

the physical state of alcohols, which are having less than 12 carbon atoms?

a)

liquid

b)

gas

c)

solid

d)

plasma

84.

identify the correct combination of multiplex and its prefix

a)

10⁺¹ - deci

b)

10^-9 - gogo

c)

10⁹ - giga

d)

all the above

85.

identify the wrong combination of multiplex and prefix

a)

yocto - 10^-24

b)

femto - 10^-15

c)

pico - 10^-12

d)

none of the above

86.

the multiplex of prefix peta & exa respectively

a)

10¹⁵ & 10¹⁸

b)

10¹⁸ &10¹⁵

c)

10²⁴ &10^-24

d)

10¹⁸ &10^-18

87.

In the compound MgCl2, the subscript 2 indicates that -

a)

the chloride ion is twice the size of the magnesium ion.

b)

there are 2 chloride ions for each magnesium ion.

c)

there are 2 magnesium ions for each ion of chlorine.

d)

the chlorine ion is twice the size of the magnesium ion.

88.

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

89.

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

90.

The name iron(II) indicates that a compound contains -

a)

iron ions with an 11+ charge

b)

iron ions with a 2+ charge

c)

two types of iron

d)

none of the options

91.

Which statement about metals is true?

a)

Generally, metals have a low melting point.

b)

a metal lattice is extremely rigid.

c)

The bonds within a metal lattice are very weak.

d)

Electrons in a metal lattice are free to move.

92.

Potassium is a very highly reactive ____ with ____ valence electron(s).

a)

glass, 3

b)

metal, 1

c)

metal, 8

d)

none of the options

93.

In a ____ bond, atoms ____ electrons.

a)

ionic, share

b)

covalent, transfer

c)

covalent, share

d)

none of the options

94.

Formation of the bond is accompanied by

a)

increase in potential energy

b)

a decrease in potential energy

c)

Either increase or decrease in potential energy

d)

Neither increase nor decrease in potential energy

95.

An atom or group of atoms which can exist independently at normal conditions is called

a)

molecule

b)

mixture

c)

miscible

d)

immiscible

96.

balance LiCl + Ag3PO4 --> _______ + ________

a)

1331

b)

2132

c)

3131

d)

3113

97.

Ni + AgCl --> If these were mixed, what would you see in the new solution?

a)

Ni

b)

Ag

c)

Cl

d)

nothing/clear

98.

Write the formula for sodium carbonate.

a)

Na2CO3

b)

(Na)2 CO3

c)

NaCO3

d)

NaCO

99.

Write the formula for silver cyanide.

a)

AgCN

b)

Ag2CN

c)

AgCN2

d)

Ag(CN)2

100.

Ionization energies tend to -

a)

decrease from the bottom to the top of a group.

b)

increase from left to right across a period.

c)

decrease from left to right across a period.

d)

increase from top to bottom of a group.

ADDMISSION TEST FOR IIT FOUNDATION

Total questions: 100

Worksheet time: 2hrs 40mins

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