UTME CBT Practice Mock Tests – Faculty of Engr/Envrn/Tech – (Maths; Chem; Eng; Phy) – Set 1

UTME CBT Practice Mock Tests – Faculty of Engineering/Environmental/Technology – (Maths; Chem; Eng; Phy) – Set 1

Hello! Welcome to UTME CBT Practice Mock Tests - Faculty of Engr/Envrn/Tech - (Maths; Chem; Eng; Phy) - Set 1

  1. You are to attempt 180 Objectives Questions ONLY in the following UTME subjects
    Use of English
  2. Time allowed is 120 minutes (2 hours)
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UTME Mathematics - 40 Questions

A rectangular picture 6 cm by 8 cm is enclosed by a frame of ½ cm wide, calculate the area of the frame

A. 15 cm2       B. 20 cm2       C. 13 cm2       D. 16 cm2

The sum of  3\frac{7}{8}  and 1\frac{1}{3}  is less than the difference between  \frac{3}{8}  and  1\frac{2}{3}  by  _______

A. 3\frac{2}{3}      B. 6\frac{1}{2}      C. 5\frac{1}{4}      D. 1\frac{1}{2}

Multiply (x + 3y +5) by (2x2 + 5y + 2)

A. 2x3 + 3yx2 + 10xy + 15y2 + 13y + 10x2 + 2x + 10
B. 2x3 + 6y2 + 5xy + 15y2 + 31y + 10x2 + 2x + 10
C. 2x3 + 3yx2 + 5xy + 10y2 + 13y + 5x2 + 2x + 10
D. 2x3 + 6y2 + 5xy + 15y2 + 13y + 10x2 + 2x + 10

In the figure above, DE//BC, DB//FE, DE = 2 cm,   FC = 3 cm  and  AE = 4 cm.

Determine the length of EC.

A. 4 cm     B. 6 cm     C. 3 cm    D. 2 cm

In the figure below AB is parallel to CD

then x + y + z = ______

A. 195o      B. 200o      C. 360o      D. 180o

Arrange \frac{3}{5}\frac{9}{16}\frac{34}{59}  and  \frac{71}{97}  in ascending order of magnitude.

A. \frac{3}{5}\frac{9}{16}\frac{34}{59}\frac{71}{97}      B. \frac{9}{16}\frac{3}{5}\frac{71}{97}\frac{34}{59}      C. \frac{9}{16}\frac{34}{59}\frac{3}{5}\frac{71}{97}      D. \frac{34}{59}\frac{71}{97}\frac{3}{5}\frac{9}{16}

The sum of the progression 1 + x + x2 + x3 + ........ is _______

A. \frac{1}{1 - x}      B. \frac{1}{1 + x}      C. \frac{1}{x - 1}      D. \frac{1}{x}

The number of telephone calls N between two cities A and B varies directly as the population PA, PB in A and B respectively and inversely as the square of the distance D between A and B. Which of the following equations represents this relation?





Find the square root of 170 - 20

A.       B.     C.       D.

If x2 - 4 = 0, then x = _______

A. 4    B. -4    C. 2    D. -2

In the figure above, FD//AC. The area AEF = 6 cm2, AE = 3 cm, BC = 3 cm, CD = 5 cm, ∠BCD is an obtuse angle. Find the length of BD.

A.       B. 6      C. 4      D.

What is the number whose logarithm to base 10 is 2.3482?

A. 223.6     B. 0.228     C. 0.02229    D. 22.37

Five years ago, a father was three times as old as the son, now, their combined age amount to 110 years. Thus, the present age of the father is _____

A. 75 years     B. 60 years     C. 98 years    D. 80 years

If y = 2x2 + 9x = 35, find the range of values for which y < 0

A. -7 < x < \frac{5}{2}      B. -7 ≤ x < 5      C. -5 ≤ x < 7      D. - \frac{7}{2} < x ≤ 5

Father reduces the quantity of food bought for the family by 10% when he found out that the cost of living has increased by 15%. Thus, the fractional increase in the food bill is now ____

A. \frac{1}{12}     B. \frac{6}{35}     C. \frac{19}{300}     D. \frac{7}{200}

Given that a*b = ab +a + b and that a o b = a + b + 1, find an expression (not involving * or o) for (a * b) o (a * c) if a, b, a, are real numbers and the operations on the right are ordinary addition and multiplication of numbers.

A. ac + ab + bc + b + c + 1
B. ac + ab + a + c + 2
C. ab + ac + a + b + 1
D. ab + ac + 2a + b + c + 1

If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2 : 5, in what ratio is the surface area reduced?

A. 8 : 125    B. 2 : 5     C. 8 : 25    D. 4 : 25

If the four interior angles of a quadrilateral are (P + 10)o, (P - 30)o, (2P - 45)o and (P + 15)o, then P is ____

A. 125o        B. 82o        C. 135o        D. 105o


A.      B.      C.      D.

In the figure above, O is the center of the circle. ∠CED = 30o, ∠EDA = 40o. What is the size of ∠ABC?

A. 70o     B. 110o     C. 130o    D. 125o

 A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultant of the two forces is ______

A.   units     B.      C. units     D. units

The minimum point on the curve y = x2 - 6x + 5  is  at  _______ 

A. (1,5)      B. (2, 3)       C. (3, -4)      D. (-3, 4)

If 3x - \frac{1}{4}  -  x, then the interval of values of x is ______

A. x >\frac{1}{3}     B. x < \frac{1}{3}     C. x < \frac{1}{4}     D. x > \frac{9}{16}

A canal has rectangular cross section of width 10cm and breadth 1m. If water of uniform density 1gm cm-3 flows through it at a constant speed of 1000 mm per minute, the adjacent sea is _______

A 100 000     B. 1000 000     C. 120 000     D. 30 000

A man runs a distance of 9km at a constant speed for the first 4km and then 2km/h faster for the rest of the distance. The whole run takes him one hour. His average speed for the first 4km is _____

A. 6km/h     B. 8km/h     C. 9km/h     D. 11km/h

A pyramid is constructed on a cuboid. The figure has ______

A. Twelve faces     B. Thirteen vertices     C. Fourteen edges     D. Sixteen edges.

In a geometric progression, the first term is 153 and the sixth term is  \frac{17}{27} . The sum of the first four term is _____

A. \frac{860}{3}      B. \frac{680}{3}      C. \frac{608}{3}      D. \frac{806}{3}

An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is _____

A. 351     B. 531     C. 135     D. 315     E. 153.

A triangle has angles 30o, 15o and 135o. The side opposite to the angle 30o has length 6 cm. The side opposite to the angle 135o is equal to _____

A. 12 cm    B. 6 cm    C. 6 cm     D. 12 cm

A regular hexagon is constructed inside a circle of diameter 12 cm. The area of hexagon is _____

A. 36π cm2      B. cm2      C. 54 cm2     D. cm2

In a soccer competition in one season, a club had scored the following goals:

2, 0, 3, 3, 2, 1, 4, 0, 0, 5, 1, 0, 2, 2, 1, 3, 1, 4, 1 and 1.

The mean, median and mode are respectively are _______

A. 1, 1.8 and 1.5     B. 1.8, 1.5 and 1     C. 1.8, 1 and 1.5     D. 1.5, 1 and 1.8

If sec2θ + tan2θ = 3, then the angle θ is equal to ______

A. 30o      B. 45o       C. 60o        D. 90o

A hollow right prism of equilateral triangular base of side 4cm is filled with water up to a certain height. If a sphere of radius  \frac{1}{2} cm is immersed in the water then the rise of water is _______

A. 1 cm      B. cm      C. cm      D. cm

The set of values of x and y which satisfy the equation x2 - y - 1 - 0 and y - 2x + 2 = 0 is ______

A. 1, 0    B. 1, 1     C. 2, 2    D. 0, 2

A solid sphere of radius 3cm, a solid right cone of radius 3cm and heí9ht 12cm and a solid right circular cylinder of radius 3cm and height 4cm. Which of the following statements is true?

A. The volume of the sphere is greater than the volume of the cone.
B. The volume of the cone is less than the volume of the cylinder
C. The total surface area of the cone is greater than that of the sphere
D. The total surface area of the cylinder is less than that of the sphere

The quantity  (x + y) is a factor of _____

A. x2 + y2      B. x3 - y3      C. 2x2 - 3xy + y2 - x + 1      D. 2x3 + 2x2y - xy + 3x - y2 + 3y

Two triangles have the same area if ______

A. Two sides in one triangle are equal to two sides in the other
B. Three sides in one triangle are equal to three sides in the other
C. Two angles in one triangle are equal to two angles in the other.
D. Three angles in one triangle are equal to three angles in the other.

If (25)x - 1 = 64, then the value of x is ______

A. 7    B. 4   C. 32   D. 64

Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, evaluate  loge  \frac{7}{4}

A. 0.5326    B. 3.4958    C. 0.4816   D. 0.0142

The locus of all points having a distance of l units from each of the two fixed points a and b is ______

A. a line parallel to the line ab
B. a line perpendicular to the line ab through the mid-point of ab
C. a circle through a and b with centre at the mid point of ab
D. a circle with centre at a and passes through b

UTME Use of English - 60 Questions

Read the passage carefully and answer the questions that follow.

Curiosity is as clear and definite as any of our urges. We wonder what is in a sealed telegram or in a letter which someone else is absorbed or what is being said in the telephone booth or in low conversation. This inquisitiveness is vastly stimulated by jealousy suspicion, or any hint that we ourselves are directly or indirectly involved in. But there appears to be a fair amount of personal interest in other people’s affairs even when they do not concern us except as a mystery to be unravelled or a tale to be told. The reports of a divorce suit will have ‘news value’ for many weeks. They constitute a story like a novel, a play or a moving picture. This is not an example of pure curiosity. However, since readily, identify ourselves with others’ their joys and despair then become our own concern.

Adapted from Harris, W. and L.G Wilson (1963) The University Handbook New York Holt Rineht and Winston

1. Which of the following statements is true according to the passage?

A. Suspicion often stimulates inquisitiveness.
B. Every human conduct often gives rise to curiosity.
C. Our environment always inhibits curiosity.
D. Curiosity is effective where there is no room for it.

2. According to the passage, people wonder what is in a sealed telegram because.

A. it has taken long for the telegram to arrive.
B they are naturally curious about things.
C. the information is vital to them.
D. it is their responsibility to know.

3. The word absorbed, as used in the passage, means

A. disturbed   B. engrossed    C. covered    D. entailed

4. From the passage it can be deduced that curiosity thrives

A. through conducts that are inimical to our activities
B. if we are able to probe into what others are thinking
C. only if we become suspicious of people’s Motives
D. if the subject of discussion is of interest to us

5. The author seems to suggest that curiosity is

A. misleading    B. inborn    C. lamed    D. acquired

7. One argument given in support of personal writing is that it _______

A. makes writers more focused and less boring.
B. can be more objective than impersonal writing.
C. is the style to use in all situations involving businessmen.
D. has informal features which make it more diverting than impersonal writing.

From the passage, what determines the appropriateness of a style is the _____

A. situation     B. reader     C. writer     D. theme

9. According to the passage, most of the writing in the newspapers, news magazines and journals

A. impersonal and interesting.
B. impersonal and uninteresting.
C. personal and interesting.
D. personal and uninteresting

10. Which of the following best describes the writer of the passage?

A. He cannot be said to be objective.
B. He is completely non-committal.
C. He recognizes the need to be critical of report writing.
D. He is being unnecessarily analytic.

The passage below has gaps, immediately following each gap, four options are provided. Choose the most appropriate option for each gap.

Boxing is sometimes called ‘the noble art of self defence’. According to some people, boxing appeals to the lowest instincts in the ....6... [A. agitators B. witnesses C. congregations D. spectators]

who have conic to watch blood flow and their fellow human suffer. Boxers who are medically fit appear in the ....7... [A. stage B. circle C. track D. ring]

The referee sometimes allows the ….8... [A. bout B. match C. performance D. contest]

to go on for long so that one of the ... 9... [A. assailants B. disputant C. contestant D. brawlers] is reduced to a human punch bag.

It may happen that the boxers are not well ... 10... [A. levelled   B. groomed    C. sparred    D. staged], one being much stronger than the other, as a result of which he so much outclasses his opponent that he wins by knock-out.

his opponent that he wins ... 17... [A. by knock-out B. by a knock-down C. by a punch up D. by a punch down]

Many boxers having suffered permanent brain ...18... [A drain B. fatigue C damage P. sprain]

in the ……19... [A. barrage B. clutter C. rattle P. racket] of punches

that have been thrown at them during their ...20... [A. career B. calling C. vacation D. routine]
Adapted from Ogunsanwo. O. Duruaku, A. B. C., Ezechukwu J and Nwachukwu U.I (2003) Countdown to WASSCE/SSCE, NECO, JME English Language: Evans Brothers Ltd.

For these questions, select the option that best explains the information conveyed in the question.

11. Mr. Rufus bore the brunt in the last promotion examination.

. Mr Rufus failed the examination woefully.
B. Mr. Rufus excelled in the examination.
C. Mr. Rufus was excited about the examination.
D. Mr. Rufus toyed with the examination.

12. My friend is well on nowadays

. My friend is financially sound.
B My friend is well known to people.
C. My friend is now well.
D. My friend has lost focus.

13. The retired army officer did a yeoman’s service to the nation.

A. His activity brought disrepute to the nation
B. His service to the nation was not exemplary.
C. He was showered with the responsibility of the yeoman.
D. He was very loyal to the nation.

14. He suddenly found himself in the thick of the situation.

A. He did not agree with the situation.
B. He used his experience Lo settle the situation.
C. He saved himself that of the situation.
D. He found himself deeply involved in the situation.

15. Olu and Ado are about to come to blows.

A. They are about to agree with each other.
B. They are about to accept other people’s opinion.
C They are about to hit each other
D. They are about to disagree with other people’s opinion.

16. By refusing the offer, he has just cut down his own throat

. He has made a big mistake.
B. He has made the right decision.
C. He has given up on his idea.
D. He has used the knife on his throat.

17. These job cuts are just the thin end of the wedge.

A. Job cuts are very rampant.
B. Job cuts are inconclusive.
C. Job cuts are the beginning of unpleasant situations.
D. Job cuts are the beginning of healthy rivalries.

18. Jumai will do well if he was given a fair crack of the whip.

A. She would do well if she was given a fair whip.
B. She would excel if she used the whip well.
C. She would do well if she was given equal opportunity.
D. She would do well if she was made to cry.

19. Her death was a bolt from the blue to us.

A. Her death bolted us together.
B. Her death caused confusion.
C Her death sealed our hopes.
D. Her death was unexpected.

20. The students were nosing around.

A. They were roaming about.
B. They were searching for information.
C. They were playing around.
D. They were disseminating information.

For these questions, choose the option opposite in meaning to the word or phrase in italics

21. It is important not to let mistakes blight your life

A. damage    B. impart    C. improve    D. ruin

22. The film was shot in decrepit police station.

. an improved    B. a damaged    C. an impoverished    D. a dilapidated.

23. Jumoke is fond of carping her sister.

. praising    B. joking With    C. complaining about    D. faulting.

24. A cup of coffee invigorated him.

A. destroyed    B. energized    C. angered    D. debilitated.

25. It is ludicrous to suggest that she was a government agent.

. odd    B. exciting    C. farcical    D. sensible.

26. The idea makes me cringe.

A. quiver    B. tremble    C. resolute    D. writhe.

27. His book was one of those books that galvanised democracy.

A. stimulated    B. encouraged    C. dissuaded    D. promoted

28. He walks in a gawky way.

A. suitable    B. clumsy    C. lumbering    D. graceful

29. The nation is in a period of economic flux

. modification    B. change    C. fluidity    D. stability

30. Our son was highly active and exuberant.

. subdued     B. fulsome    C. lively    D. bright

For these questions choose the options that best complete the gap(s).

31. The book will sell in ……………

A. hundreds of thousands    B. a hundred thousand    C. hundreds of thousand    D. hundred thousands.

32. We must he ready to cater for

A. the poors and needy    B. poor and needs   C. the poor and needy   D. poors and needs.

33. After a three-day meeting, two presidents issued a ....... calling for peace.

A. bulletin    B. memorandum    C. communiqué    D. directive.

34. Timi has gone to Lagos and he will be back in _____ time.

A. two’s week    B. two week’s   C. two weeks   D. two weeks’.

35. The students have not come back from the school farm, ………….?

A. hadn’t they    B. have they    C. didn’t they    D. isn’t it

36. ‘Do not forget to reply…………. ‘ said the teacher.

. my letter    B. for my letter    C. of my letter    D. to my letter

37. You will need…………... to help the investigations.

. this information    B. this informations    C. these information    D. these informations.

For these questions, choose the option nearest in meaning the word or phrase in italics

38. Mr. Ojo has a fickle character.

. a genuine    B. a stable    C. an imperfect    D. an unpredictable

39. He picked up the phone expecting to hear the chairman’s gruff voice.

A. gracious    B. musical    C. husky    D. polite.

40. It has been a fraught day.

. difficult    B. pleasant    C. wonderful    D. solemn.

41. She scowled furiously at his back as he walked away.

A. whispered    B. grimaced    C. screeched    D. screamed.

42. The use of this equipment should obviate the problem

. prevent    B. improve    C. promote    D. worsen.

For these questions, choose the options that have the same vowel sound as the ones represented by the letter(s) underlined.

43. reprieve

A. rich    B. police    C. queer    D. probity

44. door

A. food    B. cough    C. sure    D. board

45. famous

A. soup    B. cook    C. pilot   D. colonel

For these questions, choose the most appropriate stress pattern from the options. The stressed syllables are written in capital letter(s).

46. inoffensive

A. inOffensive    B. inoffenSIVE    C. inoffensive    D. Inoffensive

47. obligation

A. obliGAtion    B. OBligation    C. obligaTiON    D. obligation

48. disagreement

A. disAgreement    B. disaGREEment    C. DiSagreement    D. disagreement

In each of questions below, the words in capital letters have the emphatic stress. Choose the option to which the given sentence relates.

49. The car CRUSHED him.

A. Who did the car crush?
B. Did a car crush him?
C. What crushed him?
D. Did the car injure him?

50. Lamide is VERY hostile?

A. Is Lamide so hostile?
B. Is Lamide friendly?
C. Was Lamide very hostile?
D. Who is hostile?

UTME Chemistry - 40 Questions

The reaction above is best described as ________

A. esterification    B. condensation    C. saponification    D. neutralization.

Which of the following methods can be used to obtain pure water from a mixture of sand, water and methanoic acid?

A. Neutralisation with NaCH followed by filtration.
B. Neutralisation with NaOH followed by distillation.
C. Fractional distillation.
D. Filtration followed by distillation.

How many atoms are present in 6.0 g of magnesium? [Mg = 24, NA = 6.02 x 102 mo1-1]

A. 1.20 x 1022    B. 2.41 x 1022    C. 1.51 x 1023    D. 3.02 x 1023

50 cm3 of a gas was collected over water at 10oC and 765 mm Hg. Calculate the volume of the gas at s.t.p. if the saturated vapour pressure of water at10oC is 5mm Hg.

A. 49.19 cm3    B. 48.87 cm3    C. 48.55 cm3   D. 48.23 cm3

An increase in the pressure exerted on a gas at a constant temperature results in ______

A. a decrease in the number of effective collisions
B. a decrease in volume
C. an increase in the average intermolecular distance
D. an increase in volume.

2H2(g) + O2(g) → 2H2O(g)

In the reaction above, what volume of hydrogen would be left over when 300 cm3 of oxygen and 1000 cm3 of hydrogen are exploded in a sealed tube?

A. 200 cm3.    B. 400 cm3.    C. 600 cm3.    D. 700 cm3.

I. Evaporation.
II. Sublimation,
III. Diffusion.
IV. Brownian motion.

Which of the above can correctly be listed as evidences for the particulate nature of matter? .
A. I and III only    B. II and IV only   C. I, Il and III only D. I, II, III and IV

If the elements X and Y have atomic numbers 11 and 17 respectively, what type of bond can they form?

A. Dative.   B. Covalent.    C. Ionic.   D. Metallic.

A hydrogen atom which has lost an electron contains

A. one proton only
B. one neutron only
C. one proton and one neutron
D. one proton, one electron and one neutron.

The electronic configuration of Mg2+ is ______

A. 1s2 2s2 2p6 3s2 3p2   
B. 1s2 2s2 2p6 3s2   
C. 1s2 2s2 2p6   
D. 1s2 2s2 2p4

Group VII elements are

A. monoatomic     B. good oxidizing agents    C. highly electropositive     D. electron donors.

Which of the following is used to study the arrangement of particles in crystal Lattices?

A. Alpha-particles.   B. Beta-particles.   C. Gamma-rays.   D. X-rays

I. It has a varied composition from one place to another.
II. Its constituents can be separated by physical means
III. it contains unreactive noble gases.

Which of the above shows that air is a mixture?

A. I and II only    B. II and III only   C. I and III only    D. I, ll and III

The chemicals used to soften hard water involves the addition of ______

A. insoluble sodium compounds which form soluble solutions of calcium and magnesium ions
B soluble sodium compounds which form soluble solutions of calcium and magnesium ions
C. soluble sodium compounds which form insoluble precipitates of calcium and magnesium ions
D. insoluble sodium compounds which form insoluble precipitates of calcium and magnesium ions.

Chlorination of water for town supply is carried out to ______

A. make the water colourless
B remove germs from the water
C. make the water tasteful
D. remove odour from the water.

The solubilities of different solutes in a given solvent can be compared by ______

A. plotting their solubility curves on separate axes
B. plotting their solubility curves on the same axes
C. plotting some of the solubility curves on the x-axis and others on the y-axis
D. plotting their solubility curves on the x-axis only.

Potassium trioxochlorate(V) has a solubility of 1.5 mol dm-3 at 45oC. On cooling this solution to a temperature of 20oC, the solubility was found to be 0.5 mol dm-3. What mass of KCIO3 was
crystalized out? [K = 39, Cl = 35.5, O = 16]

A. 1.00g.     B. 1000g.    C. 12.25 g.     D. 122.50 g.

Which of the following pollutants is associated with brain damage?

A. Carbon (lI) oxide.    B. Radioactive fallout.    C. Biodegradable waste.    D. Sulphur (IV) oxide.

Which of the following will produce a solution with pH less than 7 at equivalent point?

A. HNO3 + NaOH.    B. H2SO4 + KOH.    C. HCI + Mg(OH)2.    D. HNO + KOH.

The number of hydroxonium ions produced by one molecule of an acid in aqueous solution is its

A. basicity    B. acid strength    C. pH    D. concentration.

During a titration experiment, 0.05 moIes of carbon(IV) oxide is liberated. What is the volume of gas liberated? [Molar volume of a gas at s.t.p. = 22.4 dm3]

A. 22.40 dm3.    B. 11.20 dm3.   C. 2.24 dm3.    D. 1.12 dm3.

A major factor considered in selecting a suitable method for preparing a simple salt is its _____

A. crystalline form    B. melting point    C. reactivity with dilute acids    D. solubility in water.

The oxidation number of boron in NaBH4 is ______

A. -3    B. -1    C. +1    D. +3

2Na2O2(s) + 2H2O(l) → 4NaOH(s) + O2(g)

The substance that is oxidized in the reaction above is ______

A. 2Na2O2(s)    B. NaOH(aq)     C. H2O(l)    D. O2(g)

What number of moles of Cu2+ will be deposited by 360 coulombs of electricity? [F = 96500 C mol-1]

A. 5.36 x 10-4 mole.    B. 1.87 x 10-3 mole.    C. 9.35 x 10-4 mole.    D. 3.73 x 10-3mole.

A metal M displaces zinc from ZnCI2 solution. This shows that _______

A. electrons flow from zinc to M
B. M is more &ectropositive than zinc
C. M is more electonegative than zinc
D. zinc is more electropositive than M.

CO(g) + H2O(g)  → CO2(g) + H2(g)

Calculate the standard heat change of the reaction above, if the standard enthalpies of formation of CO2(g) , H2O(g) and CO(g) in kJ mol-1  are -394, -242 and -110 respectively.

A. +262 kJ mol-1    B. -262 kJ moI-1    C. +42 kJ mol-1    D. -42 kJ mol-1

An increase in entropy can best be illustrated by _______

A. mixing of gases     B. freezing of water    C. the condensation of vapour    D. solidifying candle wax

The highest rate of production of carbon(IV) oxide can be achieved using _______

A. 0.05 moI dm-3 HCI and 5g powdered CaCO3
B. 0.05 mol dm-3 HCl and 5g lump CaCO3
C. 0.10 moI dm-3 HCl and 5g powdered CaCO3 .
D. 0.025 mol dm-3 HCI and 5g powdered CaCO3.

In the reaction above, high pressure will favour the forward reaction because _______

A. high pressure favours gas formation
B. the reaction s in dynamic equilibrium
C. the reaction is exothermic
D. the process occurs with a decrease in volume.

A piece of filter paper moistened with lead (Il) ethanoate solution turns black when the paper is dropped into a gas jar containing an unknown gas. The gas is likely to be _______

A. sulphur (IV) oxide    B. hydrogen chloride    C. sulphur(V) oxide    D. hydrogen sulphide.

Which of the following gases has a characteristic pungent smell, turns red litmus paper blue and forms dense white fumes with hydrogen chloride gas?

A. N2   B.N2O    C. Cl2    D. NH3

The compound above exhibits

A. geometric isomerism    B. optical isomerism    C. structural isomerism    D. positional isomerism.

An organic compound has an empirical formula CH2O and vapour density of 45. What is its molecular formula? [C=12, H=1, 0=16]

A. C3H7OH    B. C2H5OH    C. C3H5O3    D. C2H4O2

The reaction represented by the equation above is useful in the production of _______

A. propanol    B. butanol    C. methanol    D. ethanol

The number of isomers that can be obtained from C4H10 is _________
A. 3   B. 4 .  C. 1    D. 2.

The functional groups present in the compound above are

A. alkene and halo-group
B. hydroxyl and chloro-group
C. alkene and chloro-group
D. hydroxyl and halo-group.

Which of the following is a primary amine?

Two organic compounds K and L were treated with a few drops of Fehling’s solution respectively. K formed a brick-red precipitate while L remains unaffected, The compound K is an ______

A. alkanol    B. alkane    C. aIkana    D. alkanone.

Which of the following statements is true about 2-methylpropane and butane?

A. They are members of the same homologous series.
B. They have the same boiling points.
C. They have different number of carbon atoms.
D. They have the same chemical properties.

UTME Physics - 40 Questions

The speed of light in air is 3 x 108 ms-1. If the refractive index of light from air-to-water is \frac{4}{3}, then which of the following is the correct value of the speed of light in water?

A. 4 x 108 ms-1     B. 2.25 x 108 ms-1     C. \frac{4}{9} X 108 ms-1     D. 2.25 x 108 ms-2

On which of the following is the operation of a moving coil galvanometer based?

A. Magnetic effect of electric current
B. Electromagnetic Induction
C. Chemical reaction produced by electricity
D. Force on a current carrying conductor in a magnetic field

A body is released from rest and allowed to fall freely from a given height under gravity. The kinetic energy at its half-way point is ______

A. a little above half of ifs initial energy
B. a little below half of its initial energy
C. a half of its initial energy
D. a little above its initial energy

An electrical circuit is connected up as shown; which of the following is the correct value of the current through the 1 ohm resistance?

A. \frac{12}{13} A      B. \frac{13}{12} A      C. \frac{1}{3} A     D. 3A

It is known that a neutron exists in a light atomic nucleus, Which of the following also exists in the nucleus?

A. an electron     B. a β-particle     C. an α particle     D. a proton

A weight of 1000 grams hangs from a lever 20 cm to the right of the fulcrum. At the left is a 500- gram weight 20 cm from the fulcrum; and a 200-gram weight x cm away from the fulcrum. What is the value of x that will make the lever balanced?

A. 50 cm    B. 20 cm    C. 10 cm    D. 30 cm

Radio Carrier waves are generated by causing electrons to oscillate rapidly in ______

A. a microphone    B. a television camera    C. an antenna    D. a transmitter

The figure above shows the velocity-time graph of a car which starts from rest and is accelerated uniformly at the rate of 3 m sec-2 for 5 Seconds. It attains a velocity which is maintained for 1 minute. The car is then brought to rest by a uniform retardation after another 3 seconds. Calculate the total distance covered.

A. 900 metres     B. 1920 metres     C. 1020 metres     D. 960 metres

Which of the following statements is correct? Silvered walls of a vacuum flask are used to prevent ______

A. heat loss due to conduction
B. vacuum loss
C. heat entry into the inner flask due to convection
D. heat loss due to radiation

The inner diameter of a small test tube can be measured accurately using a _____

A. micrometer screw gauge   B. pair of divider    C. meter rule    D. pair of venier calipers

The diagram shows the velocity-time graph of a vehicle. Its acceleration and retardation respectively are

A. 8.0ms-2, 4.0ms-2     B. 4.0ms-2, 8.0ms-2     C. 4.0ms-2, 2.0ms-2     D. 2.0ms-2, 4.0ms-2

Two bodies have masses in the ratio 3:1. They experience forces which impart to them acceleration in the ratio 2:9 respectively. Find the ratio of the forces the masses experience.

A. 1:4    B. 2:1    C. 2:3    D. 2:5

A particle of mass 10-2 kg is fixed to the tip of a fan blade which rotates with angular velocity of 100 rads-1. If the radius of the blade is 0.2 m, the centripetal forces is _____

A. 2 N    B. 20 N    C. 200 N    D. 400 N

The figure above represents a frictionless pulley system in which a weight, W is in equilibrium with a weight of 40N. Find the value of W

A. 13.3 N    B. 20.0 N    C. 40.0 N    D. 80.0 N

The diagram shows a solid figure with base PQ and center of gravity G on an inclined plane. Which of the following statement is correct?

A. The solid will fall over if the vertical line through G lies outside the base.
B. The solid will fall over if the vertical line through G lies inside the base.
C. The solid will not fall over if the vertical line through G lies outside the base.
D. The solid can never fall over.

A lead bullet of mass 0.05 kg is fired with a velocity of 200 ms-1 into a lead block of mass 0.95 kg. Given that the lead block can move freely, the final kinetic energy after impact is

A. 50 J    B. 100 J    C. 150 J    D. 200 J

A ball of mass 0.1 kg is thrown vertically upwards with a speed of 10 ms-1 from the top of a tower 10m high. Neglecting air resistance, its total energy just before hitting the ground is
[g = 10 ms-2]

A. 5 J    B. 10 J     C. 15 J    D. 20 J

A car of mass 800 kg attains a speed of 25 ms-1 in 20 seconds. The power developed in the engine is

A. 1.25 x 104 W
B. 2.50 x 104 W
C. 1.25 x 106 W
D. 2.50 x 106 W

When the brakes in a car are applied, the frictional force on the tyres is

A. a disadvantage because it is in the direction of motion of the car
B. a disadvantage because it is in the opposite direction of motion of the car
C. an advantage because it is in the direction of motion of the car.
D. An advantage because it is in the opposite direction of motion of the car.

If the stress on a wire is 107 Nm-2 and the wire is stretched from its original length of 10.00 cm to 10.05 cm, the Young’s modulus of the wire is

A. 5.0 x 104 Nm-2     B. 5.0 x 105 Nm-2     C. 2.0 x 108 Nm-2     D. 2.0 x 109 Nm-2

The diagram shows a lift pump with valves at P and Q. During a downward stroke of the piston,

A. Both valves are open
B. P is open while Q is closed
C. P is closed while Q is open
D. Both valves are closed.

A solid weighs 10.0N in air, 6.0 N when fully immersed in water and 7.0 N when fully immersed in a certain liquid X. Calculate the relative density of the liquid.

A. \frac{5}{3}     B. \frac{4}{3}     C. \frac{3}{4}     D. \frac{7}{10}

When the temperature of a liquid is increased, its surface tension

A. decreases   B. increases    C. remains constant    D. increases then decreases.

A gas at a volume V0 in a container at pressure P0, is compressed to one fifth of its volume. What will be its pressure if it maintains its original temperature T?

A.       B.       C. Po      D. 5Po 

In the J-tube, Y and X are on the same horizontal level and 30 cm3 of air trapped above Y when the atmospheric pressure is 75 cm Hg. Calculate the volume of air trapped above Y when 15 cm Hg is now poured into the limb above X.

A. 15 cm3     B. 25 cm3     C. 35 cm3     D. 45 cm3

A piece of substance of specific heat capacity 450J kg-1k-1 falls through a vertical distance of 20 m from rest. Calculate the rise in temperature of the substance on hitting the ground when all its energies are converted into heat. [g = 10 ms-2]

I. A liquid boils when its saturated vapour pressure is equal to the external pressure
II. Dissolved substances in pure water lead to increase in the boiling point.
III. When the external pressure is increased, the boiling point increases.
IV. Dissolved substances in pure water decreases the boiling point.

Which combination of the above are peculiarities of the boiling point of a liquid?

A. I, II and III
B. I, II, III and IV
C. I, II, IV
D. II, III and IV

The temperature gradient across a copper rod thickness 0.02 m, maintained at two temperature junctions of and respectively is ______

A. 3.0 x 102 km-1     B. 3.0 x 103 km-1     C. 5.0 x 103 km-1     D. 3.0 x 104 km-1

Calculate the mass of ice that would melt when 2 kg of copper is quickly transferred from boiling water to a block of ice without heat loss. [specific heat capacity of copper = 400 J Kg-1K-1 Latent heat of fusion of ice = 3.3 x 105 Jkg-1]

The equation of a wave travelling along the positive x-direction is given by y = 0.25 x 10-3sin(500t – 0.025x). Determine the angular frequency of the wave motion.

A. 0.25 x 10-3 rads-1    B. 0.25 x 10-1 rads-1     C. 5.00 x 102 rads-1     D. 2.5 x 103 rads-1

The diagram represents a transverse electromagnetic wave travelling with speed 3.0 x 108 ms-1. What is the frequency of the wave?

A. 3.0 x 107 Hz     B. 9.0 x 107 Hz     C. 1.0 x 109 Hz     D. 3.0 x 109 Hz

If a sound wave goes from a cold-air region to a hot-air region, its wavelength will _____

A. increase     B. decrease     C. decrease and then increases     D. remain constant.

The lowest note emitted by a stretched string has a frequency of 40 Hz. How many overtones are there between 40 Hz and 180 Hz?

A. 4 B. 3 C. 2 D. 1

A man stands 4 m in front of a plane mirror. If the mirror is moved 1m towards the man, the distance between him and his new image is ______

A. 3 m     B. 5 m     C. 6 m     D. 10 m

The inside portion of part of a hollow metal sphere of diameter 20 cm is polished. The portion will therefore form a _____

A. concave mirror of focal length 5 cm
B. concave mirror of focal length 10 cm
C. convex mirror of focal length 5 cm
D. convex mirror of focal length 20 cm

The velocities of light in air and glass are 3.0 x 108 ms-1 and 2.0 x 108 ms-1 respectively. If the angle of refraction is 30o, the sine of angle of incidence is __

A. 0.33     B. 0.50     C. 0.67     D. 0.75

The diagram shows the prism arrangement in a _____

A. binocular    B. spectrometer    C. periscope    D. projector.

An astronomical telescope is said to be normal adjustment when the ________

A. eye is accommodated
B. focal length of objective lens is longer than that of eye piece.
C. final image is at the near point of eye
D. final image is at infinity.

Which of the following electromagnetic waves is least energetic?

A. Infra-red     B. X-ray     C. Ultra-violet rays     D. Gamma rays

Steel is more suitable for permanent magnet than iron because the former ____

A. is easily demagnetized by shaking vigorously
B. is an alloy of many metals
C. is easily magnetized by alternating current through one cycle.
D. retains magnetism more than iron.

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