# Mathematics-Physics-Chem- JAMB Similar Questions for UTME

Mathematics, Physics and Chemistry JAMB Similar Questions for UTME Candidates. This is for candidates who are prepared for the 2020 UTME and want to test their ability.

This page is for candidates who want to write Mathematics, Physics, and Chemistry, in the JAMB UTME.

It is a page that we will help you test how prepared you are for the UTME Exam schedule to commence on March 14th.

When you are ready, click on the start button below to test your knowledge in the aforementioned subjects.

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Maths-Phy-Chem

Enter your name, email address and phone number in the appropriate column below.

1 / 120

Find the range of values of x is 2x-3>3x +2

2 / 120

A carpenter on top of a roof 20.0m high dropped a hammer of mass 1.5kg and it fell
freely to the ground. The kinetic energy of the hammer just before hitting the ground
is? (g=10m/s2)

3 / 120

Find the value of K 4 / 120

In which of the following field is repulsion not experience?

5 / 120

An object 3.0cm high is placed 60.0cm from a converging lens whose focal length is
20.0cm. calculate the distance of the image formed.

6 / 120

A student spent 1/5 of his allowance on books, 1/3 of the remainder on food and kept the rest for contingencies. What fraction was kept.

7 / 120

If y = (1-2x)^3, find the value of dy/dx at x = -1

8 / 120

Which of the following is the correct order of decreasing activity of the metals?

9 / 120

Differentiate x/cos x with respect to x.

10 / 120

Express the product of 0.21 and 0.34 in standard form

11 / 120

The defect of the eye lens which occurs as a result of weak ciliary muscles is called

12 / 120

When a pentavalent impurity is added to a pure semiconductor, it becomes?

13 / 120

What mss of gold is deposited during the electrolysis of gold (iii) tetraoxosulpate (vi)
when a current of 15A is passed for 193sconds. (Au= 97, F= 96500 C/mol)

14 / 120

TO convert a galvanometer to a voltmeter, a

15 / 120

A certain source emits radiation that was found to be deflected by both magnetic and
electric fields. The radiation is?

16 / 120

Find the derivative of f(x) = 2x(x^2 + 3)

^ means raised to power.

17 / 120

At what value of x is the function y = x^2 -2x -3 minimum

18 / 120

The fundamental frequency of a plucked wire under a tension of 400N is 250Hz.
When the frequency is changed to 500Hz at constant length, what will be the tension
in the string?

19 / 120

The heat produced in a conductor carrying electric current is?

20 / 120

The IUPAC name for the compound below is? CH3C(CH3)2CH2CH(CH3)2

21 / 120

56.00cm3 of a gas at s.t.p weighed 0.11g. What is the vapour density of the gas? (Molar volume at s.t.p=22.4dm3)

22 / 120

Simplify (25)^-1/2 x (27)^1/3 + (121)^-1/2 x (625)^-1/4

23 / 120

Which of the following statement is correct about a long sited boy who does not put
on glasses?

24 / 120

When an atom undergoes beta decay, the atomic number will?

25 / 120

The property used in the industrial preparation of nitrogen and oxygen from air is?

26 / 120

Moving from left to right across a period, the general rise in the first activation energy
can be attributed to the

27 / 120

A body at rest dropped from a height reaches the ground at about 0.15s. Calculate the
height from which it dropped. (g=10m/s2).

28 / 120

If y =3 cos(x/3), find dy/dx when x=3ℼ/2

29 / 120

If the 9th term of an AP is five times the 5th term, find the relationship between a and d.

30 / 120

A 120V, 60W lamp is to be operated on 220V A.C supply mains. Calculate the value
of non-inductive resistance that would be required to ensure that the lamp is run on
correct value?

31 / 120

Mortar is not used for underwater construction because

32 / 120

Solve for x in the equation given as 10^x X 5^(2x-2) X 4^(x-1) =1

33 / 120

An ammeter of resistance 5ohms has a full scale deflection when a current of 50mA
flows in it. The value of the resistor required to adapt it to measure a current of 5A is?

34 / 120

A spring of force constant 500N/m is compressed such that its length shortens by
5cm. The energy stored in the spring is?

35 / 120

Given that Evaluate {𝑄 + |2𝑃/}

36 / 120

The quality of petrol as an engine fuel improves with a higher amount of?

37 / 120

A ball of mass 100g falls from a height of 5m into a concrete floor and rebound to a
height of 3m. Calculate the energy lost. (g=10m/s2).

38 / 120

The graph of (x)=x^2
-5x + 6 crosses the x-axis at the points

39 / 120

A house has ten 40w and five 100w bulbs. How much will it cost the owner of the
house to keep them 10hours if the cost of unit is N5.

40 / 120

A glass block of thickness 10cm is placed on an object. If an observer views the
object vertically, the displacement of the object is?

41 / 120

The slope of the tangent to the curve y = 3x^2-2x + 5 at the point (1,6) is

42 / 120

Given that tan( x – y) = ¾ and tan x = 2 find the value of tan y

43 / 120

The defect of the eye lens which occurs as a result of weak ciliary muscle is called?

44 / 120

NO (g) + CO (g) → N2 (g) + CO2 (g) ∆H= -89.3KJ. What conditions would favour maximum conversion of Nitrogen (ii) oxide and Carbon (ii) oxide in the reaction above?

45 / 120

The gas that gives brown colouration in brown ring test is?

46 / 120

The densities of two gases X and Y are 2.5gdm-3 and 10.0gdm-3 respectively. What s
the rate of diffusion of X relative to Y?

47 / 120

The total length of a spring when a mass of 20g is hung from its end is 14cm, while its
total length is 16cmwhen a mass of 30g is hung from the same end. Calculate the
unstretched length of the spring assuming Hooke’s law is obeyed.

48 / 120

During summer the balance wheel of clocks expands what effect does this have on the
accuracy of the clock?

49 / 120

i) density of the liquid , ii) acceleration due to gravity, iii) type of the container of
the liquid, iv) the constituents of the liquid. Which of the above conditions will not
affect the pressure of fluid?

50 / 120

Silicon doped with aluminium and germanium doped with arsenic becomes?

51 / 120

A stone Q is thrown with a velocity u at an angle of 75଴
to the horizontal. Another
stone R is thrown with the same velocity u, but at an angle of 15଴
to the horizontal the
ranges covered by the stone will be?

52 / 120

Atomic bomb operates under

53 / 120

In an attempt to remove sugar from a beaker containing a quantity of sand and sugar, 2M ammonium chloride solution was accidentally added instead of water. Which of the following methods could be used to remove ammonium chloride from the mixture?

54 / 120

A moving coil galvanometer of 300 ohms resistance gives full deflection for 1.0mA.
the resistance, R, of the shunt that is required to convert the galvanometer into a 3.0A
ammeter is?

55 / 120

Three cells each of e.m.f 1.5V and internal resistance 2.5ohms are connected in
parallel. Find the net e.m.f and effective internal resistance of the circuit.

56 / 120

If x-1 and x+1 are both factors of the equation x^3+px^2+qx+6=0 evaluate p
and q.

57 / 120

If a solution contains 4.9g of H2SO4, calculate the amount of CuO that will react with it? (Cu=64, O=16, S=32, H=1)

58 / 120

The gas responsible for fatal explosions in coal mines is

59 / 120

A gas occupies 30.0dm3

at S.T.P. What volume will it occupy at 91o

c and 380mmHg?

60 / 120

Which of the following is not involved in the extraction of metals from their ores?

61 / 120

A binary operation is defined on the set (R) of real numbers by a ٭ b=a^2-b^2 +ab where a and b are real numbers. Evaluate √3٭√2

62 / 120

Find the positive values of p if the expression 2x^2
-px+p leaves a remainder 6
when divided by x-p.

63 / 120

The IUPAC nomenclature of the compound CH3CH2COOCH2CH3 is?

64 / 120

Which of the following substances undergoes sublimation?

65 / 120

Find the derivative of (2 + 3x)(1 – x) with respect to x

66 / 120

What volume of oxygen measured at s.t.p would be liberated on electrolysis by 9650 coloumbs of electricity? (Molar volume of gas t s.t.p=22.4dm3, F=96,500 C per mole)

67 / 120

The following are the products of crude oil except?

68 / 120

The bond which joins two ethanoic acid molecules in the liquid state is?

69 / 120

When excess chlorine is mixed with ethene at room temperature, the product is?

70 / 120

Chlorine, bromine and iodine resemble each other in that all

71 / 120

If the numbers M,N,Q are in the ratio 5:4:3 find the value of 2N -Q/ M

72 / 120

In a common emitter configuration, the output voltage is through the?

73 / 120

The alkaline hydrolysis of fats and oil produces and

74 / 120

Solve for the equation 5^(x+2y) =5 and 4^(x+3y) =16, find 3^(x+y)

75 / 120

In photoelectric effect, electron will leave the metal surface when illuminate by light
of appropriate frequency if the photon energy is?

76 / 120

In dry Leclenche cell, it is made up of zinc rod wile in wet Leclenche is?

77 / 120

A current of 0.5A flowing for 3hrs deposits 2g of a metal during electrolysis. The quantity of the metal that would be deposited by a current of 1.5A flowing for 1hr is?

78 / 120

In a pure semiconductor, the number of electrons in the conduction band is?

79 / 120

Find the quadratic equation in m whose roots are -3/4 and 4/3

80 / 120

If 3√42y = 8, find y

81 / 120

Find the derivative of the function y=2x^2(2x-1) at the point x=-1

82 / 120

Chlorine consisting of two isotopes of mass number 35 and 37 has n atomic mass of 35.5. The relative abundance of the isotope with mass number 37 is?

83 / 120

Which of the following substances has the lowest vapour density?

84 / 120

Solve the equation 125^(x+3) = 5

85 / 120

The sum of the first three terms of a geometric progression is half the sum to
infinity. Find the positive common ratio of the progression.

86 / 120

An arrow of mass 0.1kg moving with a horizontal velocity 15m/s is shot into a
wooden block of mass 0.4kg lying at rest on a smooth horizontal surface. Their
common velocity after impact is?

87 / 120

A given volume of methane diffuses in 20s. How long will it take the same volume of sulphur (iv) oxide to diffuse under same conditions? (C=12, H=1, S=32, O=16)

88 / 120

A pair of compounds that can be used to generate a gas which has physiological effect
on human beings is?

89 / 120

In how many ways can 6 coloured chalks be arranged. If 2 are of the same colour?

90 / 120

The length of mercury thread when it is at 0
଴c, 100଴ܿ, and at an unknown
temperature θ is 25mm, 225mm and 175mm respectively. The value θ is?

91 / 120

A device that convert sound wave into electrical energy is?

92 / 120

What is the Kelvin equivalent of 45o
c?

93 / 120

Evaluate the integral ∫ 2𝑐𝑜𝑠2𝑥𝑑𝑥 ℼ/4
ℼ/12

94 / 120

The cost of renovating a 6m square room is 540 naira what is the cost of
renovating a 9m square room

95 / 120

The defect of the eye lens which occurs as a result of weak ciliary muscle is called?

96 / 120

In the periodic table, what is the property that decrease along the period and increases down the group?

97 / 120

A body of mass travelling at 4.2m/s collides with a second body of mass 18kg at rest.
Calculate their common velocity if the two bodies coalesce after collision.

98 / 120

When the expression pm^2 +qm+1 is divided by (m-1), it has the
remainder 2 and when divided by (m+1), the remainder is 4, find p and q
respectively.

99 / 120

Solubility curve shows the variation of solute concentration with?

100 / 120

After three half life, the fraction of a radioactive material that has decayed is?

101 / 120

.If the 6th term of an arithmetic progression is 11 and the first term is 1, find
the common difference.

102 / 120 103 / 120

A short chain is sometimes attached to the back of a petrol tanker to?

104 / 120

What property of duralumin makes it more useful than its constituent metals?

105 / 120

Find the positive number n, such that thrice its square is equal to twelve
times the number

106 / 120

A student has 5 courses to take from mathematics and physics. There are 4 courses in mathematics and 3 in physics which he can choose from at will.
In how many ways can he choose his course so that he takes exactly 2
courses in physics..

107 / 120

In how many ways can 9 bulbs can be selected from 4 red, 5 green, and 6 yellow bulbs if three each are to be included

108 / 120

Which of the following pairs of colours gives widest separation in the spectrum of
white light?

109 / 120

The velocity ratio of a machine is 5 and its efficiency is 75%. What efforts would be
needed to lift a load of 150N with the machine?

110 / 120

What current in amperes will deposit 2.7g of aluminium in 2hrs? (Al=27, F=96500).

111 / 120

2.0g of a monobasic acid was made up to 250cm3 with distill water. 25.0cm3 of this solution required 20.0cm3 of 0.1M NaOH solution for complete neutralization. The molar mass of the acid is?

112 / 120

The salt formed between citric acid and NaOH in solution will be?

113 / 120

A force F is required to keep a 5kg mass moving round a cycle of radius 3.5m at a
speed of 7m/s. what is the speed, if the force is tripled?

114 / 120

The maximum permissible current through a galvanometer G of internal resistance 10
ohms is 0.05A. A resistance R is used to covert G into voltmeter with a maximum
leading of 100v. Find the value of R and how it is connected to G.

115 / 120

If the minimum value of y = 1 + hx – 3x^2
find h

116 / 120

A good drying agent should be?

117 / 120

What is: 118 / 120

Find the derivative of (2 + 3x)(1 – x) with respect to x

119 / 120

Oil spillage in ponds and creeks can be cleaned up by?

120 / 120

Evaluate 8^1/3 x 5^2/3 ÷ 10^2/3

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