05-12-2017, 01:10 PM

You can't fail Maths. Jamb 2017 if you practice these questions well and also work other examples under the topic,I advice my candidates to study hard*

1. Integrate 2x²+2x/x with respect to x

A. 2x³/3 - 2x + k

B. x3 + 2x + k

C. 2x³/3 + 2x + k

D. x3 - 2x + k

2. If the mean of 4, y, 8 and 10 is 7. Find Y?

A. 6

B. 10

C. 7

D. 9

3. In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?

A.45

B.10

C.35

D.30

4. If the 2nd term of a G.P is 8/9 and the 6th term is 4½. Find the common ratio.

A. 2

B. ³/²

C. ⅔

D. 3

5. The sum of the interior angles of a polygon is a given as 1080o. Find the number of the sides of the polygon.

A. 5

B. 7

C. 6

D. 8

6. Evaluate ∫(cos4x + sin3x)dx

A. sin4x - cos3x + k

B. sin4x + cos3x + k

C. ¼sin4x - ⅓cos3x + k

D. ¼sin4x + ⅓cos3x + k

7. If x(base10) = 23(base 5). Find x

A. 12

B. 14

C. 15

D. 13

8. Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.

A. 32

B. 36

C. 33

D. 40

9. Factorize k² - 2kp + p².

A. (k +p)2

B. (k - p)2

C. k2 + p2

D. k2 - p2

10. Calculate the perimeter of a sector of a circle of radius 12cm and angle 60°.

A. (12 + 4π)cm

B. (24 + 4π)cm

C. (12 + 6π)cm

D. (24 + 6π)cm

11. Marks| 2 | 3 | 4

___________________

Frequency| 4 | 4 | y

The table above shows the frequency distribution of marks obtained by a group of students. If the total mark is 48, find the value of y.

A. 5

B. 8

C. 6

D. 7

12. Given U = {x:x is a positive integer less than 15} and P = {x:x is even number from 1 to 14}. Find the compliment

A. {1, 3, 5, 7, 9, 11, 13, 15}

B. {2, 3, 5, 7, 9, 11, 13}

C. {1, 3, 5, 7, 9, 11, 13}

D. {2, 3, 5, 7, 11, 15}

13. A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?

A. 15

B. 25

C. 30

D. 50

14. Calculate the perimeter of a sector of a circle of radius 9cm and angle 36°.

A. 18cm

B. (18 + 9π/5)cm

C. (9 + 9π/5)cm

D. 9π/5cm

15. Scores 3 6 5 2

Frequency 2 3 4 6

From the table above, find the median

A. 3

B. 5

C. 4

D. 6

16. An arc subtends an angle of 30° at the centre of a circle radius 12cm. Calculate the length of the arc.

A. 6πcm

B. 2πcm

C. 3πcm

D. 9πcm

17. The mean of 2-t, 4+t 3-2t, 2+t and t-1 is

A. 2

B. t

C. -2

D. -t

18. The nth term of the sequence 3, 9, 27, 81.....is

A. 3 x 3n-2

B. 3 x 3n-1

C. 3 x 3n+2

D. 3 x 3n+1

19. If y = 2x³ + 6x² + 6x + 1, Find dy/dx

A. 6x² + 12x + 1

B. 6x² + 6x + 1

C. 6x² + 6x + 6

D. 6x² + 12x + 6

20. Evaluate ∫(sinx - 5x²)dx

A. -cosx - 10x + k

B. cosx - 5x³/3 + k

C. -cosx - 5x³/3 + k

D. cosx - 10x + k

21. Solve for x and y respectively

3x - 5y = 9

6x - 4y = 12

A. ¾, 1

B. ⁴/3, 1

C. ¾, -1

D. ⁴/3, -1

22. OGIVE is constructed using

A. Third quartile range

B. Semi-quartile range

C. Cummulative frequency

table

D. Inter-quartile table

23. Rationalize 6√−4 / √6√+4√

A. 5 + 2√6

B. 5 - 4√6

C. 5 + 4√6

D. 5 - 2√6

24. If three admin. of Prep. JAMB CBT 2017/18 agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is N120,000.00K, How much does the second staff received?

A. N36,000

B. N44,000

C. N40,000

D. N15,000

25. X and Y are two sets such that n(X) = 15, n(Y) = 12 and n{∩ Y} = 7. Find ∩{X ∪ Y}

A. 21

B. 225

C. 15

D. 20

26. Find the total surface area of a cylinder of base radius 5cm and length 7cm ( π = 3.14)

A. 17.8cm²

B. 15.8cm²

C. 75.4cm²

D. 54.7cm²

27. A man with an annual salary of N2000, has allowances of N600. If Income Tax is 5%. How much tax does he pay each year?

A. 15

B. 20

C. 30

D. 25

28. Find the equation of a line which is form origin and passes through the point (−3,

−4)

A. y = 3x/4

B. y = 4x/3

C. y = 2x/3

D. y = x/2

29. Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

A. {1, 2, 3, 4, 5, 6, 7, 8, 9,12,

15}

B. {1, 2, 3, 5, 6, 8, 12, 15}

C. {2, 4, 5, 9, 12, 15}

D. {1, 5, 6, 7, 8, 9, 12, 15}

30. The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s.

A. 2

B. 1

C. 0

D. 3

31. If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

A. 2, ½

B. ½ , 2

C. 1, ½

D. 0, 2

32. The volume of a cylinder whose height is 4cm and whose radius 5cm is equal to (π = 3.14)

A. 3.13cm²

B. 145cm²

C. 314cm²

D. 214cm²

33. The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both

A. 2/15

B. ¾

C. 7/15

D. 1/15

34. Find the distance between the points (-2,-3) and (-2,4)

A. 3m

B. 2.4m

C. 3.2m

D. 5.1m

35. Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14)

A. 17.1cm²

B. 27.2cm²

C. 47.1cm²

D. 37.3cm²

36. *Practice Circle Geometry*

37. *Venn Diagram*

38. *Pie,bar chart*

39. *Logarithm and surds*

40. *Changing to subject of the formula*

41. *Simple interest/compound interest*

S.I= PRT/100

C.I= (A) = P ( 1 + R/100)^n

42. *Probability*

43. *Polynomials*

C.S.A of a cone = πrlL²= h² +

r²

Volume of a cylinder = πr²h

Length of arc = tita/360 x 2πr

Perimeter of a sector = Length of arc + 2r

Area of segment = tita/360 x πr² + r²/2 Sintita

44. *Polygon*

Interior angles n represents number of sides (n-2)180 or (2n-4)90

Exterior angle= 360/n

4- quadrilateral

5- Pentagon

6- hexagon

7- heptagon

8- octagon

9- nonagon

10- decagon

45. *Range, Mean deviation, variance, standard deviation, mean, median, mode.

CHEMISTRY QUESTIONS BY JAMB STAFF

1. X is crystalline salt ofsodium. Solution of X in water

turnslitmusred produces a gas which turnslime water

milky when added to sodium carbonate. With barium

chloride solution, X gives a white precipitate which is

insoluble in dilute hydrochloric acid. X is

A. Na2

CO3

B. NaHCO3

C NaHSO4

D Na2

SO3

E. Na2

SO4

2. The alkanol obtained from the production of soap is

A. ethanol

B. glycerol

C. methanol

D. propanol

E. glycol

3. The flame used by welders in cotton metals is

A. butane gas flame

B. acetylene flame

C. kerosene flame

D. oxy-acetylene flame

E. oxygen flame

4. Consecutive members of an alkane homologousseries

differ by

A. CH

B. CH2

C. CH3

D. CnHn

E. CnH2n+2

5. If an element has the lectronic configuration 1s2 2s2 2p6

3s2

3p2

, it is

A. ametal

B. an alkaline earth metal

C. an s-block element

D. a p-block element

E. a transition element

6. Some copper (11)sulphate pentahydrate (CuSO4

5H2O),

was heated at 120oC with the following results: Wt of

crucible= 10.00 g;Wt ofcrucible +CuSO4

5H2O=14.98g;

Wt of crucible + residue = 13.54g. How manymolecules

of water of crystallization were lost? [H=1, Cu =63.5,

O=16,S= 32]

A. 1

B. 2

C. 3

D. 4

E. 5

7. The three-dimensional shape of methane is

A. hexagonal

B. tigonal

C. linear

D. tertrahedral

E. cubical

Question 8-10 are based on the following

An unknown organic compound X has a relative

molecular mass of 180. It is a colourless crystalline solid,

readily soluble in water. X contains the element C, H,

and O in the atomic ratio 1:2:1. The compound has a

sweet taste and melts on heating. In the presence of

yeast and in the absence of air X is converted to

compound Y in the absence of air, X is converted to

compound Y and colourless gas.

Compound Y reacts with sodium metal to produce a

gas Z which gives a ‘pop’ sound with a glowing splint.

Y also reacts with ethanoic acid to give a sweetsmelling

compound W.

8. Compound W is

A. a soap

B. an oil

C. an alkane

D. an ester

E. sucrose

9. Themolecular formula of X is

A. C12H22O11

B. C6H12O6

C. C3H6O3

D. C7H14O7

E. C4H3O4

10. reaction of X with yeast forms the basic of the

A. plastic industry

B. textile industry

C. brewing industry

D. soap industry

E. dyeing industry.

11. A mixture of common salt, ammonium chloride and

barium sulphate can best be separated by

A. addition of water followed by filtration then

sublimation

B. addition of water followed by sublimation then

filtration

C. sublimation followed byaddition of water then

filtration

D. fractional distillation

E. fractional crystallization.

12. Which of the following relationships between the

pressure P, the volume V and the temperature T,

represents and ideal gas behaviors?

A. P&VT

B. P&T/V

C. PT& V

D. PV&VT

E. P & V/T

13.

In the above experiment (fig1) the litmus paper will

initially

A. be bleached

B. turn green

C. turn red

D. turn blue

E. turn black

14. The colour imparted to a flame by calcium ion

is

A. green

B. blue

C. brick-red

D. yellow

E. lilac

15. In the reaction M + N P; H = + Q kJ.

Which of the following would increase the

concentration of the product?

A. Decreasing the concentration of N

B. Increasing the concentration of P

C. Adding a suitable catalyst.

D. Decreasing the temperature

16. In which of the following processes is iron being

oxidized?

1. Fe + H2

SO4

H2 + FeSO4

2. FeSO4

+ H2

S FeS + H2

SO4

3 FeCl + CI2

2FeCL3

4 FeCl3

+ SnCI2

2FeCL2 + SnCI4

A. 1 only

B. 2 only

C. 3 only

D. 1 and 3

E. 2 and 4.

17.

Fig.2

In the above experiment (fig.2), a current was passed

for 10 minutes and 0.63 g of copper was found to be

deposited on the cathode of CuSO4

cells. The weight

of AgNO3 cell during the same period would be [Cu =

63,Ag –108]

A. 0.54 g

B. 1.08 g

C. 1.62 g

D. 2.16 g

E. 3.24 g

18. In the reaction Fe + Cu2+ Fe2+ + Cu, iron displaces

copper ions to form copper. Thisis due to the fact that

A. iron isin themetallic formwhile dthe copper is

in the ionic form

B. the atomic weight of copper is greater than

that of ion

C. copper metal has more electronsthan ion metal

D. iron is an inert metal

E. iron is higher in the electrochemicalseriesthan

copper.

19. C2H5 C =CH2

CH3

The correct name of the compound with the above

structural formula is

A. 2-methylbut-1-ene

B. 2-methylbut-2-ene

C. 2-methylbut-1-ene

D. 2-ethyprop-1-ene

E. 2-ethylprop-2-ene

20. How many isomeric forms are there for the molecular

formula C3H6Br2

?

A. 1

B. 2

C. 3

D. 4

E. 5

21. A piece of burning sulphur will continue to burn in a

gas jar of oxygen to give misty fumes which readily

dissolve in water. The resulting liquid is

A. sulphur (1V) trioxide

B. Tetraoxosulphate acid (V1)

C. Trioxosulphate (1V) acid

D. Dioxosulphate (11) acid

E. Hydrogen sulphide

22. Sodium decahydrate (Na2

SO4

10H2O) an exposure to air

loses all its water of crystallization. The process of loss

is known as

A. Efflorescence

B. Hygroscopy

C. Deliquescence

D. Effervescence

E. Dehydration

23. Which of the following happens during the electrolysis

of molten sodium chloride?

A. Sodium ion loses an electron

B. Chlorine atom gains an electron

C. Chloride ion gains an electron

D. Sodium ion is oxidized

E. Chloride ion is oxidized.

24. Crude petroleum pollutant usuallyseen on some Nigeria

creeks and waterways can be dispersed or removed by.

A. heating the affected parts order to boil off the

petroleum

B. mechanicallystirring to dissolve the petroleum

in water

C. pouring organic solvents to dissolve the

petroleum

D. spraying the water with detergents

E. cooling to freeze out the petroleum.

25. An element is electronegative if

A. it has a tendency to exist in the gaseous form

B. its ions dissolve readily in water

C. it has a tendency to lose electrons

D. it has a tendency to gain electrons

E. it readily forms covalent bonds

26. Solution X,Y, and Z have pH values 3.0, 5.0 and 9.0

respectively. Which of the following statements is

correct?

A. All the solution are acidic

B. All solution are basic

C. Y and Z are more acidic than water

D. Y is more acidic than X.

E. Z is the least acidic

27. In the reactions

(1) H2 (g) + 1

2 O2

(g) H 2O(1); H=-2.86kJ

(11) C(s) + O2

(g) CO2

(g); H= -406 kJ

the equations imply that

A. more heat is absorbed heat is evolved in (1)

B. more heat is absorbed in (11)

C. less heat is evolved in (1)

D. reaction (11) proceeds faster than (1)

E. reaction (1) proceeds faster than (11)

28. Which of thesemetals, Mg, Fe, Pb, andCu will dissolve

in dilute HCI?

A. All the metals

B. Mgm Fe, and Cu

C. Mg, Fem and Pb

D. Mg and Fe only

E. Mg only

29. Stainless steel is an alloy of

A. Carbon, iron and lead

B. Carbon, ion and chromium

C. Carbon iron and copper

D. Carbon, iron and silver

E. Carbon and iron only

30. What volume of 0.50 MH2

SO4 will exactly neutralize

20cm3 of 0.1 M NaOH solution?

A. 2.0 cm3

B. 5.0 cm3

C. 6.8 cm3

D. 8.3 cm3

E. 10.4cm3

31. Which of the following pair of gases will NOT react

further with oxygen at a temperature between 30oCand

400oC?

A. SO2 and NH3

B. CO2 and H2

C. NO2 and SO3

D. SO3 and NO

E. CO and H2

32. Some metals are extracted from their ores after some

preliminary treatments by electrolysis (L) some by

thermal reaction(T) and some bya combination of both

processes(TL). Which set-up in the following for the

extraction of iron copper and aluminum is correct?

A. Iron (L), copper (L) m aluminum(T)

B. Iron (T), copper (L), aluminum (T)

C. Ion (TL), copper (TL), aluminium(TL)

D. Iron (L), copper (T), aluminium (T).

E. Ion (T), copper (L), aluminium (TL).

33. In the preparation of some pure crystals of Cu (NO3

)

2

starting with CuO, a student gave the following

statements assteps he employed. Which of these shows

a flaw in hisreport?

A. Some CuO was reacted with excess dilute

H2

SO4

B. The solution was concentrated

C. When the concentrate was cooled, crystals

formed were removed by filtration.

D. The crystals were washed with very cold water

E. The crystals were then allowed to dry.

34. Which of the following seperation processes is most

likely to yield high quality ethanol (>95%) from palm

wine?

A. Fractional disllation without a dehydrant

B. Simple distillation without a dehydrant

C. Fractional distillation with a dehydrant

D. Column chromatography

E. Evaporation

35. Increasing the pressure of a gas

A. lowers the average kinetic energy of the

molecules

B. decreases the density of the gas

C. decreases the temperature of the gas

D. increases the density of the gas

E. increases the volume of the gas.

36. 2.5 g of a hydrated barium salt gave on heating, 2.13 g

ofthe anhydrous salt. Given that the relativemolecular

mass of the anhydrous salt is 208, the number of

molecules of water of crystallization of the barium salt

is

A. 10

B. 7

C. 5

D. 2

E. 1

37. 3.06 g of a sample of potassium trioxochlorate

(v) (KCIO3

) was required to make a saturated solution

with 10cm3 ofwater at 25oC. The solubilityof the salt at

25oCis[K=39,CI =35.5,O=16]

A. 5.0 moles dm3

B. 3.0 moles dm3

C. 2,5 moles dm3

D. 1.0 moles dm3

E. 0.5 moles dm3

38. The cracking processis veryimportant in the petroleum

industry because it

A. gives purer products

B. Yields more lubricants

C. Yields more engine fuels

D. Yields more asphalt

E. Yieldmore candlewax

39. A gas that can behave as reducing agent towards

chlorine and as an oxidizing agent toward hydrogen

sulphide is

A. O2

B. NO

C. SO2

D. NH3

E. CO2

40. Which if the following solution will give a white

precipitate with barium chloride solution and a green

flame test?

A. Na2SO4

B. CuSO4

C. CaSO4

D. CaCI2

E. (NH4

)

2 SO4

41. The mass of an atom is determined by

A. itsionization potential

B. its electrochemical potential

C. the number of protons

D. the number of neutrons and protons

E. the number of neutrons and electrons

42. Which of the following is neutralization

reaction?

A. Addition of chloride solution

B. Addition of trioxonirate (V) acid (nitric acid)

to distilled water.

C. Addition of trioxonirate (V) acid (nitric acid)

to tetraoxosulphate (V1) acid (sulphuric acid)