*MATHS 1:30pm*

1 :- Add 1011 base 2 and 11101 base 2

CORRECT ANSWER =

(101000) base 2

2 :- Rationalize 2 – square root 3 / square root 3 + square root 2

CORRECT ANSWER =

square root 3 – 2 square 2 + square root 6 – 3

3 :- Calculate the interior angle of a regular polygon with 6 sides

CORRECT ANSWER =

120

4 :- If P = [2,4,0 1,5,-2 3,6,-3] Find |P|

CORRECT ANSWER =

-18

5 :- Express 8.3 x 10 power -5 as decimal fraction

CORRECT ANSWER =

0.000083

6 :- Represent the inequality -1 < x < or = 3 on a niumber line

CORRECT ANSWER =

-1 3

7 :- From the diagram above, calculate the area of the triangle

CORRECT ANSWER =

4.0cm square

8 :- The coordinates of the mid point of the line joining (x base 2 y base 2) are

CORRECT ANSWER =

1/2(x base 1 y base 1), 1/2 (x base 2 + y base 2)

9 :- Solve 3x p9 power 3 x = 27

CORRECT ANSWER =

3

10 :- if the factory employs 108 people. How many are mangers

CORRECT ANSWER =

6

11 :- Given the equation 8y – 10x = 28 and 2y = 6x, Find the value of x and y

CORRECT ANSWER =

2, 6

12 :- In how many ways on the word STATISTICS be arranged?

CORRECT ANSWER =

10! / 3! 3! 2!

13 :- A teacher spent 1/5 of her salary on shoes, 1/3 of the reminder on food and kept the rest for miscellaneous expenses. What fraction was kept

CORRECT ANSWER =

8/15

14 :- Find the sum of the first five terms of the sequence 3,6,9,?

CORRECT ANSWER =

45

15 :- Find the distance between the points on aline P(2,6) and Q(5,9)

CORRECT ANSWER =

3 square root 2

16 :- If a fair coin is tossed thrice, find the probability of obtaining at least 2 heads

CORRECT ANSWER =

1/2

17 :- In the diagram above QU//RT, RS//TU, QR = 4cm, QS = 4cm, RT = 6cm. Find the ratio of the area of UTRS to the area of QUTR

CORRECT ANSWER =

24:16

18 :- Defin the binary operation * by a * b = a power 2 + b power 2. Evaluate 4 * 3

CORRECT ANSWER =

25

19 :- Find 2M + 3N

CORRECT ANSWER =

(3,8,2 10,3,2 3,6,4)

20 :- Find the nth term n of the geometric sequence 8,4,2,?.

CORRECT ANSWER =

16 (1/2) power n

21 :- Find the number of ways of selecting 5 cups out 12 cups for tea break

CORRECT ANSWER =

792

22 :- From the diagram above, find the value of y degree

CORRECT ANSWER =

45 degree

23 :- If p varies directly as the square of z and p = 20 when z = 5, find p when z = 8

CORRECT ANSWER =

51.2

24 :- If P {factor of 12 less than 12}. Q {even numbers greater than 2 but less than or equal to 10}

CORRECT ANSWER =

{4,6}

25 :- In the diagram above PQ // RS The size of the angle marked y is

CORRECT ANSWER =

85 degree

26 :- Find the value of log a power 5 base a

CORRECT ANSWER =

5

27 :- Given the diagram above, PQRS is a cyclic quadrilateral, Find the angle marked x

CORRECT ANSWER =

82

28 :- Calculate the simple intertst on N6,500 for 4 years at 6%

CORRECT ANSWER =

N1560

29 :- Find it mode of the given data. 1,0,5,3,2,4,3,1,2,6,3,5

CORRECT ANSWER =

3

30 :- Evaluate S (6 cos x – 4 x power 2)

CORRECT ANSWER =

6 sin x – 4/3 x power 3 + k

31 :- Given the function y = 3x square – 5x, find the dy/dx at x = -1

CORRECT ANSWER =

-11

32 :- Divide 3x power 3 – 2x square – 5 + 3 by x + 2

CORRECT ANSWER =

(x+1) (3x power 2 – 8x + 11) – 19

33 :- In a right angled triangle 0,0 show that sin square 30 + cos square 30 = x. Find x

CORRECT ANSWER =

1

34 :- Find the limit of a givenm fractrion lim / x -> 3 x square – 4 / x + 2

CORRECT ANSWER =

1

35 :- From the table above, find the range of the distribution

CORRECT ANSWER =

5

36 :- Convert 733 base ten to a number in base five

CORRECT ANSWER =

(10413) base five

37 :- List the members of (M n H) n L

CORRECT ANSWER =

{t}

38 :- If V varies inversely as x square and V = 9 when x = 10 find V when x = 5

CORRECT ANSWER =

36

39 :- If f(x) = 3x power 3 – 2x square 5x + 3 find f(-1)

CORRECT ANSWER =

3

40 :- Find the median of the number 4,7,9,3,11 and 6

CORRECT ANSWER =

6.5

=========================

SUBJECT: *BIOLOGY*

*TIME: 1:30pm*

1 :- the biome that is characterized

with large herbivores . Few and

scattered fire resistant trees is

CORRECT ANSWER =

savanna

2 :- nephridium is a structure that

removes waste product from the

body of CORRECT ANSWER = an

earthworm

3 :- the joint between the femur and

tibia is known as CORRECT ANSWER

= hinge joint

4 :- the part that attracts insects for

pollination is CORRECT ANSWER = II

5 :- an example of insects that

undergoes complete metamorphosis

is CORRECT ANSWER = butterfly

6 :- the structure is adapted for

CORRECT ANSWER = omnivores

7 :- the lung of the lungfish is an

adaption for respiration CORRECT

ANSWER = to compliment gills while

in water

8 :- which of the following is an

adaption of grassland vegetation

CORRECT ANSWER = possession of

fewer tree branches bearing large

sized numbers of leaves

9 :- the protists that is a producer in

an aquatic food chain is CORRECT

ANSWER = chlamydomonas

10 :- the diagram represents a

CORRECT ANSWER = wind vane

11 :- an example of insects that

undergoes complete metamorphosis

is CORRECT ANSWER =

butterfly

12 :- the feeding relationship among

a set of members of a community is

referred to as CORRECT ANSWER =

food web

13 :- the colour of the left eye of two

out of three newly born kittens of

the same parents is different from

the right eyes because of CORRECT

ANSWER =

mutation

14 :- ability to taste PTC in some

individuals is a characteristics that is

CORRECT ANSWER = heritable

15 :- the part labelled III is CORRECT

ANSWER = guinea savanna

16 :- red blood cells are also known

as CORRECT ANSWER = erythrocytes

17 :- the dentition is found in

CORRECT ANSWER = man

18 :- the bacteria that is spherically

shaped is called CORRECT ANSWER =

coccus

19 :- the excretory products common

to both plants and animals are

CORRECT ANSWER = water and

carbon(iv) oxide

20 :- the continuous absence of iron

in a diet of man result to CORRECT

ANSWER = anaemia

21 :- epiphytic plants are more

abundant in the part labelled

CORRECT ANSWER =

IV

22 :- the level of organization of

Amoeba and Eagle a cell is CORRECT

ANSWER = cell

23 :- the instrument is used to

measure CORRECT ANSWER =

direction of wing

25 :- the soil component which has

the ability to retain a high amount of

water is CORRECT ANSWER = clay

26 :- the modification in structure

physiology and behaviour of plant

and animals is called CORRECT

ANSWER = adaption

27 :- agglutination can occur during

blood transmission when CORRECT

ANSWER = blood of incompatible

blood groups is mixed

28 :- the host of Teania solium is

CORRECT ANSWER = pig

30 :- when an ovary is placed on the

receptacle above the other floral

parts is referred to as CORRECT

ANSWER = superior ovary

31 :- an example of organism which

exists as a colony is CORRECT

ANSWER = volvox

32 :- size colour and finger prints are

examples of CORRECT ANSWER =

morphological variation

33 :- the allele which phenotypically

expresses itself from heterogenous

pairing is said to be

CORRECT ANSWER = a hybrid

34 :- which of the following is a

characteristic of fungus? CORRECT

ANSWER = they are both saprophytic

and parasitic

35 :- carbon(iv) oxide is added to the

atmosphere when CORRECT

ANSWER =

36 :- the soil type which when

present in high proportion will not

support the cultivation of vegetable

is CORRECT ANSWER =

clay

37 :- in mosses the structure which

performs the function of water

absorption is the CORRECT ANSWER

= rhizoids

38 :- the matured sex cell which

takes place in sexual reproduction is

referred to as CORRECT ANSWER =

gamete

39 :- the most efficient respiratory

structure used by free living

protozoan is CORRECT ANSWER =

body surface

40 :- which of the following factors

can reduce the population of a

community ? CORRECT ANSWER =

emigration

==================================

*jamb chemistry 1:30pm*

(1)Electron affinity

(2)NH3

(3)Ammonia

(4)3

(5)!G!*aH*y/A*aB*b

(6)Fe3o3

(7)3

(8)dissolving sugar in water

(9)Oxygen gas is given at the cathode.

(10)Neutron

(11)solubility

(12)Hcl

(13)activation energy

(14)NH4CL

(15)finely divided iron

(16)6.6×10*19

(17)(G*x)(H) *y/(A)*a(B)*b

(18)the equality of the rate of the forward and reverse reaction

(19)metalic and coordinate covalent bond

(20)mass

(21)yellow

(22)silving

(23)26.53%

(24)alpha particles

(25)alkaline pyrogallol

(26)CH2O

(27)carbon(iv) and noble gasses

(28)reduction

(29)by downward displacement of air

(30)pottasium metal is deposited at the cathode

(31)electron dissolves

(32)27.0g

(33)reduced

(34)CnH2n-2

(35)esterifucation

(36)number of molecule present

(37)negetive

(38)hydrogen sulphide

(39)Basic

(40)green to orange

================================

*PHYSICS 1:30pm*

1 :- find the potential energy of an object of an mass 10kg placed on a building floor 10m above the ground level (g = 10ms -2)

CORRECT ANSWER = 1000J

2 :- if a catapult is used to project a stone, which of the fdllowing energy conversion takes place as the stone is released?

CORRECT ANSWER = the elastic potential

3 :- which of the followingj graphs coprrectly describe the variation of the mechanical advantage with load for a simple manchione whose velocity ratio is 4?

CORRECT ANSWER = load

4 :- two forces, each of magnititude 20N, act in opposite directions at the opposite ends of a circular ring. If the diameter of the ring is 50cm, calculate the magnitude of the couple acting on the ring.

CORRECT ANSWER = 10Nm

5 :- the power of accomodation of the human eye is controlled by

CORRECT ANSWER = ciliary muscles

6 :- the following phenomena are conqequences of rectilinear prompagation of light excerpt

CORRECT ANSWER = diffraction

7 :- the product PV where P is pressure and V is volume has the same unit as

CORRECT ANSWER = work

8 :- which of the following graph is the output of a.d.c dynamo?

CORRECT ANSWER =

9 :- if the apparent expansivity of a liquid is 10 -4K-1 contained in a vessel of linear expansivity of 10 -5 K-1, the total expansivity of liquid is

CORRECT ANSWER = 1.3 x 10 -4 K-1

10 :- which of the following pairs of light rays shows the widest separation in the spectrum of white light?

CORRECT ANSWER = red and indigo

11 :- a charge 1C liberates 0.00-44 g of ciopper in an electrolytic process. How long will it take a current of 2A to liberate 2.64g of copper in such a process

CORRECT ANSWER = 300s

12 :- thye presence of a dielectric in a parallel plate capacitor

CORRECT ANSWER = increase its capacitance

13 :- the alterration in loudness observed when two notes of nearly equal frequencies sounded together resulting in periodic rise and fall in loudness is known as

CORRECT ANSWER = beats

14 :- at the neutral point, the horizontal components of the earth’s magnetic field and that due to the magnet are

CORRECT ANSWER = equal and opposite

15 :- the function of zener diode is

CORRECT ANSWER = voltage regulation

16 :- in the diagram above, calculate the current flowing in the a.c circuit

CORRECT ANSWER = 2.00A

17 :- if an object is placed 20cm in front of a concave mirror of focal length is 30cm; calculate the position and nature of the image formed.

CORRECT ANSWER = 60cm and virtual

18 :- which of the liquid below is non-volatile?

CORRECT ANSWER = mercury

19 :- calculated the current flowing through the soleniod of inductance 30mH required to produce energy of 0.45J used in producing the magnetic field in and around the coil.

CORRECT ANSWER = 5.5A

20 :- which of the above are derived quantities

CORRECT ANSWER = I, II and IV only

21 :- calculate the viscous force acting on an object of mass 0.3kg travelling at terminal velocity in a fluid with an upthrust of 0.5N

CORRECT ANSWER = 2.5N

22 :- the pseed of sound in air at sea-level is 420ms-1 while that of light is 3 x 10-8ms -1. how far from the centre of a thurderstorm is an observer who hears a thunder 3 s after a lighting flash?

CORRECT ANSWER = 1260m

23 :- what is the number of electrons contained in the element 238/92U

CORRECT ANSWER = 146

24 :- when one arm of a u-tube manometer is connected to a gas supply, the levels of mercury in the two arms of the u-tube are as shown in the diagram above. If the atmosphere pressure is 86.0cmHg, the gas pressure is

CORRECT ANSWER = 96.2cm Hg

25 :- a piano wire 0.8m long has a total mass of 0.02kg and is stretched with a tension of 60N. Calculate the frequency of the wire when it sounds its fundamental note

CORRECT ANSWER = 112.7Hz

26 :- if the motion of an object ina straight line is uniformly retarded so that it comes to rest in 40s after travelling a distance of 50m, calculate the initial velocity of the object.

CORRECT ANSWER = 2.5m/s

27 :- the nuclear reaction above above is

CORRECT ANSWER = fission

28 :- if a tap supplies water at 24 0C and another supplies at 80 0C. What will be the ration of the mass of cold water and hot water for a man that wishes to bath with water at 38 0C?

CORRECT ANSWER = 1.3

29 :- if an object of mass 40kg experiences a gravititation force of 68N on a planet, what will be the gravitational field intensity on that planet?

CORRECT ANSWER = 1.7N kg-1

30 :- a boat travels due east at a speed of 40ms-1 across a river flowing due at 30ms-1. what is the resulted speed of the boat?

CORRECT ANSWER = 50m/s

31 :- the above infmormation describe the phenomenon of

CORRECT ANSWER = mirage

32 :- what is the process of changing molescules of liquid into bubbles of vapour or gas called?

CORRECT ANSWER = vaporization

33 :- calculate the length of the liquid in a barometer tube that would support an atmosphere pressure of 3.06 x 10 5Nm-2 if the desnity of the liquid is 1.36 x 10 4kgm -3

CORRECT ANSWER = 2.25m

34 :- the motion of smoke aprticles in air is an example of

CORRECT ANSWER = random motion

35 :- when heat is applied to one end of a metal rod, the molescules at the other end soon begin to vibrate with greater amplitude than before because heat has been transferred by

CORRECT ANSWER = conduction

36 :- which of the following graphs of current against voltage illustration ohm’s law?

CORRECT ANSWER =

37 :- how long does it takes a 650W heater to raise the temperature of 2kg of water from 30 0C to 50 0C

CORRECT ANSWER = 258s

38 :- which of the following will an insulated rod rubbed with a material acquire?

CORRECT ANSWER = a positive change of glass

39 :- the function of a granulated carbbon mixed with mangase (IV) oxide in a leclanche cell is to

CORRECT ANSWER = prevent polerization

40 :- a metal of mass 1.5kg was heated from 27 0C in 4minutes by a boiling ring of 75W rating. Calculate the specific heat capacity of th

e metal

CORRECT ANSWER = 6.0 x 10 2 J kg -1 K -1

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