UTME CBT Practice Mock Tests - Faculty of Engr/Envrn/Tech - (Maths; Chem; Eng; Phy) - Set 1 - Online Learning and Assessment Portal for Nigerian Students

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

You are to attempt 180 Objectives Questions ONLY in the following UTME subjects
Mathematics;
Chemistry;
Physics;
Use of English
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

ABCD

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. $1\frac{1}{2}$

ABCD

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

ABCD

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

ABCD

In the figure below AB is parallel to CD

then x + y + z = ______

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

ABCD

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. $\frac{34}{59}$ , $\frac{71}{97}$ , $\frac{3}{5}$ , $\frac{9}{16}$

ABCD

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. $\frac{1}{x}$

ABCD

The number of telephone calls N between two cities A and B varies directly as the population P_A, P_B 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?

A. $N = \frac{KP_{A}}{D^{2}} + \frac{CP_{B}}{D^{2}}$

B. $N = \frac{KP_{A}P_{B}}{D^{2}}$

C. N = KDP_AP_B

D. N = KDP_A + CDP_B

ABCD

Find the square root of 170 - 20 $\sqrt{3}$

A. $2\sqrt{10} - 5\sqrt{3}$ B. $3\sqrt{5} - 8\sqrt{6}$ C. $2\sqrt{5} - 5\sqrt{6}$ D. $5\sqrt{5} - 2\sqrt{6}$

ABCD

If x² - 4 = 0, then x = _______

A. 4 B. -4 C. 2 D. -2

ABCD

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. $\sqrt{33}$ B. 6 C. 4 D. $2\sqrt{13}$

ABCD

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

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

ABCD

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

ABCD

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

ABCD

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. $\frac{7}{200}$

ABCD

Given that a*b = ab +a + b and that a ^ob = 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

ABCD

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

ABCD

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

ABCD

Simplify $\frac{a-b}{a+b}-\frac{a+b}{a-b}$

A. $\frac{4ab}{9^{2}-b^{2}}$ B. $\frac{2ab}{9^{2}-b^{2}}$ C. $\frac{4ab}{a^{2}-b^{2}}$ D. $\frac{4ab}{\left ( a-b \right )^{2}}$

ABCD

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

A. 70^oB. 110^oC. 130^oD. 125^o

ABCD

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. $\sqrt{3}$ units B. $3\sqrt{units}$ C. $\sqrt{41} + \sqrt{2}$ units D. $\sqrt{41} + 20\sqrt{2}$ units

ABCD

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

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

ABCD

If 3x - $\left (\frac{1}{4} \right )^{-\frac{1}{2}}$ > $\frac{1}{4}$ - 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 > $\frac{9}{16}$

ABCD

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

ABCD

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

ABCD

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

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

ABCD

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. $\frac{806}{3}$

ABCD

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.

ABCD

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

A. 12 cm B. 6 cm C. 6 $\sqrt{2}$ cm D. 12 $\sqrt{2}$ cm

ABCD

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

A. 36π cm² B. $\frac{36}{\pi }$ cm² C. 54 $\sqrt{3}$ cm² D. $\frac{54}{\sqrt{3}}$ cm²

ABCD

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

ABCD

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

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

ABCD

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. $\frac{\sqrt{3}\pi }{24}$ cm C. $\frac{\pi }{24\sqrt{3}}$ cm D. $\frac{24\pi }{\sqrt{3}}$ cm

ABCD

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

ABCD

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

ABCD

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

ABCD

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.

ABCD

If (25)^{x - 1} = 64 $\left ( \frac{5}{2} \right )^{6}$ , then the value of x is ______

A. 7 B. 4 C. 32 D. 64

ABCD

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

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

ABCD

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

ABCD

UTME Use of English - 60 Questions

Read the passage carefully and answer the questions that follow.

PASSAGE I
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.

ABCD

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.

ABCD

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

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

ABCD

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

ABCD

5. The author seems to suggest that curiosity is

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

ABCD

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.

ABCD

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

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

ABCD

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

ABCD

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.

ABCD

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

PASSAGE II
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]

ABCD

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]

ABCD

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

ABCD

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.

ABCD

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.

ABCD

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]

ABCD

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

ABCD

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

ABCD

that have been thrown at them during their ...20... [A. career B. calling C. vacation D. routine]

ABCD

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.

A. 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.

ABCD

12. My friend is well on nowadays

A. 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.

ABCD

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.

ABCD

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.

ABCD

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.

ABCD

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

A. 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.

ABCD

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.

ABCD

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.

ABCD

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.

ABCD

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.

ABCD

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

ABCD

22. The film was shot in decrepit police station.

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

ABCD

23. Jumoke is fond of carping her sister.

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

ABCD

24. A cup of coffee invigorated him.

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

ABCD

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

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

ABCD

26. The idea makes me cringe.

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

ABCD

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

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

ABCD

28. He walks in a gawky way.

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

ABCD

29. The nation is in a period of economic flux

A. modification B. change C. fluidity D. stability

ABCD

30. Our son was highly active and exuberant.

A. subdued B. fulsome C. lively D. bright

ABCD

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.

ABCD

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.

ABCD

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

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

ABCD

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’.

ABCD

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

ABCD

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

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

ABCD

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

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

ABCD

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

38. Mr. Ojo has a fickle character.

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

ABCD

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

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

ABCD

40. It has been a fraught day.

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

ABCD

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

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

ABCD

42. The use of this equipment should obviate the problem

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

ABCD

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

ABCD

44. door

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

ABCD

45. famous

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

ABCD

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

ABCD

47. obligation

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

ABCD

48. disagreement

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

ABCD

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?

ABCD

50. Lamide is VERY hostile?

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

ABCD

UTME Chemistry - 40 Questions

The reaction above is best described as ________

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

ABCD

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.

ABCD

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

ABCD

50 cm³ of a gas was collected over water at 10^oC and 765 mm Hg. Calculate the volume of the gas at s.t.p. if the saturated vapour pressure of water at10^oC is 5mm Hg.

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

ABCD

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.

ABCD

2H_2(g) + O_2(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.

ABCD

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

ABCD

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.

ABCD

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.

ABCD

The electronic configuration of Mg²⁺ is ______

A. 1s² 2s² 2p⁶ 3s² 3p²
B. 1s² 2s² 2p⁶ 3s²C. 1s² 2s² 2p⁶D. 1s² 2s² 2p⁴

ABCD

Group VII elements are

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

ABCD

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

ABCD

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

ABCD

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.

ABCD

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.

ABCD

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.

ABCD

Potassium trioxochlorate(V) has a solubility of 1.5 mol dm^-3 at 45^oC. On cooling this solution to a temperature of 20^oC, 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.

ABCD

Which of the following pollutants is associated with brain damage?

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

ABCD

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.

ABCD

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.

ABCD

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.

ABCD

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.

ABCD

The oxidation number of boron in NaBH4 is ______

A. -3 B. -1 C. +1 D. +3

ABCD

2Na₂O_2(s) + 2H₂O_(l) → 4NaOH_(s) + O_2(g)

The substance that is oxidized in the reaction above is ______

A. 2Na₂O_2(s) B. NaOH_(aq) C. H2O_(l) D. O_2(g)

ABCD

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.

ABCD

A metal M displaces zinc from ZnCI₂solution. 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.

ABCD

CO_(g) + H₂O_(g) → CO_2(g) + H_2(g)

Calculate the standard heat change of the reaction above, if the standard enthalpies of formation of CO_2(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

ABCD

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

ABCD

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.

ABCD

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.

ABCD

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.

ABCD

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

ABCD

The compound above exhibits

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

ABCD

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. C₃H₅O₃D. C₂H₄O₂

ABCD

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

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

ABCD

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

ABCD

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.

ABCD

Which of the following is a primary amine?

ABCD

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.

ABCD

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.

ABCD

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

ABCD

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

ABCD

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

ABCD

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

ABCD

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

ABCD

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

ABCD

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

ABCD

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

ABCD

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

ABCD

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

ABCD

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

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

ABCD

A particle of mass 10^-2kg 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

ABCD

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

ABCD

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.

ABCD

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

ABCD

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

ABCD

A car of mass 800 kg attains a speed of 25 m^s-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

ABCD

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

ABCD

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.

ABCD

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. $\frac{7}{10}$

ABCD

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

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

ABCD

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. $\frac{P_{o}}{5}$ B. $\frac{4\pi }{5}P_{o}$ C. P_o D. 5P_o

ABCD

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 cm³B. 25 cm³C. 35 cm³D. 45 cm³

ABCD

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]

ABCD

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

ABCD

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

ABCD

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]

ABCD

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

ABCD

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

ABCD

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.

ABCD

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

ABCD

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

ABCD

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

ABCD

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 30^o, the sine of angle of incidence is __

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

ABCD

The diagram shows the prism arrangement in a _____

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

ABCD

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.

ABCD

Which of the following electromagnetic waves is least energetic?

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

ABCD

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.

ABCD

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