ENGLISH LANGUAGE
In questions 1-30, choose the best option to fill in the gap.
1. With his reading glasses, he could see the word……………………..
(a) much more clearer (b) Much clearly more (c) much more clearer (d) clear
2. Hardly had the journey started,………………..the car engine developed a fault.
(a) That (b) When (c) Than (d) soon
3. The story she was reading made her ……………………..
(a) Laughed (b) To laugh (c) Laugh (d) Laughing
4. I am not going to the stadium with you as i……..that team play before
(a) Am seeing (b) Have seen (c) Had seen (d) Was seeing
5. The visitor was very uncomfortable because of his ………………..nose
(a) Runny (b) Watery (c) Flowing (d) Running
6. _______you should put in some effort to show that you are interested.
(a) However you are tired
(b) However tired you are
(c) However tired are you
(d) However is you tired
7. The teacher asked______will have the courage to try and lift that heavy Log?
(a) whom (b) which (c) who (d) whomever 8. My brother
married a loquacious woman.
(a) quiet (b) noisy (c) talkative (d) beautiful
9. This engine is………………..that one.
(a) Superior (b) More superior than (c) more superior to (d) superior to
10. I could not attend the meeting, so I asked my sister to stand………..for me
(a) Up (b) By (c) in (d) on
11. Since we were given all the things we requested, we should …….with what we have
(a) Make up (b) Make on (c) make do (d) make with
12. Must you always … lies? Why don’t you … the truth for once?
(a) speak (b) say (c) talk (d) tell
13. Don’t let him bully you, you must stand up……………… him
(a) for (b) before (c) to (d) against
14. In this letter there……….good news about your elder brother
(a) is some (b) are (c) to (d) against
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15. Here’s the book you wante(d) Is there anything………………….i can get you?
(a) more (b) against (c) else (d) other
16. My father ……………….to smoke a lot, but he gave it up several years ago
(a) was used (b) has been (c) is used (d) used
17. This classic ………….with enjoyment for nearly two hundred years.
(a) has been read
(b) will have been read
(c) shall have been read
(d) was read
18. The bold railway station has been turned…………a very smart restaurant.
(a) in (b) into (c) on (d) onto
19. Let’s try to get home quickly before the rain really…………………. .
(a) sets in (b) sets on (c) sets off (d) sets down
20. There are too many people sleeping……on the streets of London and other big British cities.
(a) rough (b) wild (c) hard (d) fierce
21. Are you able to……………………CDs on your computer
(a) toast (b) cook (c) bake (d) burn
22. This area of town is beginning to look very ……………..and impoverished.
(a) broken-down (b) put-down (c) run-down (d) marked –down
23. In study hall I ………………. Paul Smith, who is captain of the swim team and one of the best swimmers
in the state.
(a) Sit besides (b) Sat beside (c) Have set beside (d) Sit beside
24. Many 19th-century biographers _________ not on real facts.
(a) Rely on their imagination
(b) Relied on their imagination
(c) Have relied on their imagination
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(d) could have relied on their imagination.
25. Knock _________ you enter the head of department’s office.
(a) As (b) When (c) Before (d) As/when
26. The patient is suffering from ________
(a) Rheumatism (b) rheumatism (c) Rheumantism (d) rehnmantism
27. When he asked her to marry him, Ada was_____ than she had though possible
(a) happier (b) more happier (c) so happy (d) too happy
28. He’s a cockney: he was born and _______ up in London.
(a) bread (b) bred (c) brought (d) brought
29. If Kennedy ________ been killed, he would have been president for four years.
(a) had not (b) has not (c) hasn’t (d) hadn’t
30. When his wife died, he was _______ with grief.
(a) has been overcome (b) been overcame (c) overcome (d) overcame
In question 62-66, choose the option that has the same vowel sound as the one represented by the letter(s)
underlined.
31. Luck.
(a). lack (b). tum (c). Lock (d). Brother
32. Guard
(a). Guide (b). Argue (c). Chat (d). Gourd
33. Beer.
(a). Fair (b). Bear (c). Pier (d). Pear
34. Nine
(a). Pint (b). Gill (c). Pin (d). Click
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35. Bear
(a). Beer (b). Steer (c). Rare (d). Fear
In questions 67-71, select the option that best explains the information conveyed in the sentence.
36. He could not have rewarded them more handsomely.
a) He did not reward them very well
b) He rewarded them well and he was also a good looking man
c) He rewarded them very well
d) He spoke to them in a very generous way
37. My advice to Tolu was ‘look before you leap’.
a) Tolu was advised to consider her options before reaching any decisions.
b) Tolu was advised to consider possible consequences before taking action.
c) Tolu was advised to weigh her decisions by looking and leaping.
d) Tolu was advised to leap only after looking.
38. The official had allegedly been taking bribes.
a) Some people accused the official of taking bribes
b) The official had been taking bribes without feeling any guilt.
c) It was proved that the official had been taking bribes
d) The official accused some people of taking bribes
39. Emeka hardly ever holds with my view on good governance.
a) Emeka sometimes opposes my idea of good governance
b) My view of what good governance is conforms with that of emeka
c) Emeka never really supports my opinion of good governance
d) Emeka may never hold a view which conflicts with mine on good governance.
40. There’s a door at either end of the building.
a) The building has two ends and two doors
b) The building has two ends but only one door
c) The building has two ends but i do not know which of the two has a door
d) The building has many ends, each with a door
In questions 72-76, choose from the options the word that has the same consonant sounds as the underlined
letter(s) in each word.
41. Though
(A) Theater (b). Taught (c). Weather (d). Fate
42. Caliph
(A) Presently (b). Perhaps (c). Powerful (d). opponent
43. Sure
(A) Cheer (b). Cheap (c). Charlatan (d). church
44. Past
(A) Wrestle (b). Preached (c). Castle (d). Pasture
45. Thank
(A) Though (b). Thought (c). Thames (d). Thomas
In the questions 77-81, choose the most appropriate option opposite in meaning to the word(s) or phrases
bolded.
46. The chairman’s verdict redressed the injustice mete out by the secretary.
(A) Corrected (b) restored (c) aggravated (d) addressed
47. Uche could not travel last December because of the severity of the harmattan.
(A) Cold (b) mildness (c) warmth (d) moderation
48. Mrs. Koffi is very provocative in her style of dressing.
(A) Modest (b) happy (c)angry (d) beautiful
49. Travelling in the night can be an ordeal.
(A) A great experience (b) a great fear (c) a great endurance (d) a great pleasure
50. Akoso though that her father was callous
(A) Indifference (b) compassionate (c) wicked (c) careless
In the questions 82-86, choose the option nearest in meaning to the words or phrase in italics.
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51. Ugo has often been described as belligerent.
(A) Attractive (b) patient (c) innocent (d) combative
52. While the thugs exchange blows, we looked complacently
(A) Dejectedly (b) sorrowful (c) questioningly (d) contentedly
53. Tade became timorous when she was asked to give the valedictory speech
(A) Excited (b) nervous (c) aggressive (d) happy
54. The players kept on gamely to the end of the match
(A) Amateurishly (b) skillful (c) courageously (d) stubbornly
55. Art lies in cherishing the initiative and creative power of each person.
(A) Potential (b) strength (c) gift (d) min(d)
In questions 87-91, choose the appropriate stress pattern from the option. The syllables are written capitals.
56. Jurisprudence
(A) JUrisprudence (b) juRISprudence (c) jurisPRUdence (d) jurispruDENCE
57. Suburbanite
(A) SUburbanite (b) suBURbanite (c) suburBAnite (c) suburbaNITE
58. Departmentalize
(A) departMENtalize (b) dePARTmentalize (c) Departmentalize (d) departmenTAlize
59. Organise
(A) ORGAnise (b) orGAnise (c) orgaNISE (d) orGANISE
60. International
(A) INternational (b) international (c) international (d) international
61. Choose the option that best conveys the meaning of the underlined portion in the following sentence
Being an optimist, our professor always sees the bright side of most things.
(a) charming (b) illumined (c) brilliant (d) pleasing
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62. Choose the option that best conveys the meaning of the underlined portion in the following sentence
The state government appointed a commission of inquiry to go into the community’s complaints carefully and
without prejudice.
(a) investigate (b) search (c) look for (d) account for
63. Choose the option that best conveys the meaning of the underlined portion in the following sentence
The traffic situation in Lagos can lead to disastrous consequences; a man lost a very lucrative job because he
was held up by it.
(a) confused (b) delayed (c) annoyed (d) intrigued
64. Choose the option that best conveys the meaning of the underlined portion in the following sentence
The two sprinters were running neck and neck.
(a) exactly level (b) very slowly (c) very fast (d) together
65. Choose the option that best conveys the meaning of the underlined portion in the following sentence
He stared at her.
(a) glanced (b) peeped (c) looked (d) gazed
67. Choose the option that best conveys the meaning of the underlined portion in the following sentence
When the man was caught by the police, he presented a bold front.
(a) he attacked the policeman
(b) he walked up to the policeman
(c) he faced the situation with apparent boldness
(d) he bravely attempted to give them a present
68. Choose the option that best conveys the meaning of the underlined portion in the following sentence
I have been able to observe him at close quarters.
(a) in government house nearby
(b) within a short space of time
(c) in a small family house (d) at close range
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69. Complete the following sentence by choosing the option that most suitably fills the space.
When the beggar was tired he …. down by the roadside.
(a) lied (b) laid (c) layed (d) lay
70. Complete the following sentence by choosing the option that most suitably fills the space.
He did not like … leaving the class early.
(a) we (b) us (c) our (d) ourselves
71. Complete the following sentence by choosing the option that most suitably fills the space.
The boy was born before his parents actually got married and so the court has cleared him … . (a) illegal (b)
illegitimate (c) illicit (d) unlawful
72. Complete the following sentence by choosing the option that most suitably fills the space.
As he was still owing me two Naira, I was careful not to … him any more money.
(a) lend (b) loan (c) borrow (d) credit
73. Complete the following sentence by choosing the option that most suitably fills the space.
If you travel by air. You will give an allowance to cover … .
(a) a luggage (b) luggage (c) luggages (d) a baggage
74. Complete the following sentence by choosing the option that most suitably fills the space.
Bola and Sade lived about the same time and therefore … poets.
(a) contrary (b) contractual (c) contemporaneous (d) contemporary
75. Complete the following sentence by choosing the option that most suitably fills the space.
Remember, this matter is strictly … .
(a) between you and I (b) among you and me (c) between you and me
76. Complete the following sentence by choosing the option that most suitably fills the space.
They … receive visitors on short notice.
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(a) use to (b) are used to (c) are always (d) are use to
77. Complete the following sentence by choosing the option that most suitably fills the space.
His suggestions are completely … the point and cannot be accepted.
(a) to (b) about (c) beside (d) on
78. Complete the following sentence by choosing the option that most suitably fills the space.
He went up quickly and returned … .
(a) fastest (b) fastly (c) as fastly (d) as fast
79. Complete the following sentence by choosing the option that most suitably fills the space. Invariably,
he ends his letters with … amicably. (a) you (b) your’s (c) yours’ (d) your own
80. Complete the following sentence by choosing the option that most suitably fills the space.
Our plane was scheduled to … at 10:00 hrs but it was delayed because of the bad weather.
(a) fly out (b) take off (c) start out (d) shoot off
81. Complete the following sentence by choosing the option that most suitably fills the space.
If I went to the cinemas I… early.
(a) shall return (b) am returning (c) would return (d) may return
82. Complete the following sentence by choosing the option that most suitably fills the space.
Before we left the train station, each passenger was made to … certain form.
(a) fill in (b) write in (c) enter in (d) go through
83. Complete the following sentence by choosing the option that most suitably fills the space.
The managing director did not pay his staff last month, …?
(a) didn’t he (b) had he not (c) is not it (d) did he
84. Complete the following sentence by choosing the option that most suitably fills the space.
Granted you are my senior by one year, you cannot … around as if I were your servant.
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(a) control (b) dribble (c) order (d) ask
85. Complete the following sentence by choosing the option that most suitably fills the space.
The train rattled along … full spee(d)
(a) in (b) at (c) with (d) on
86. Complete the following sentence by choosing the option that most suitably fills the space.
If this had happened to you, what …?
(a) would you do (b) have you done (c) would you have done (d) will you do
87. Complete the following sentence by choosing the option that most suitably fills the space.
There were so many children … .
(a) that she couldn’t feed them all
(b) that she could feed
(c) that she couldn’t feed
(d) that she could feed them all
88. Complete the following sentence by choosing the option that most suitably fills the space.
In West Africa, the … of sickle cell is about 25 percent.
(a) incident (b) incidence (c) accident (d)accidence
89. Complete the following sentence by choosing the option that most suitably fills the space.
We got to the hall after the play … .
(a) is started (b) was starting (c) had started (d) has started
90. Choose the option nearest in meaning to the sentence below.
For all he cared, his parent might have been dead for years.
(a) although concern about his parent, he had been unable to find out if they were alive
(b) he cared for no one except his parents, and it was possible that they had died long before
(c) he did not care whether his parents were alive or had died long before
(d) he was concerned about everyone not just his parents who might have died long before
91. Choose the option nearest in meaning to the sentence below.
Had she asked me earlier, I might have been able to employ him.
(a) I employed her
(b) I did not employ him
(c) I employed him
(d) I did not employ her
92. Choose the option nearest in meaning to the sentence below.
As he was a gullible leader, his followers took advantage of him.
(a) He was weak and unable to enforce his authority
(b) He was simple-minded to a fault.
(c) He was partial and unfair in dispensing justice.
(d) He was slow to act
93. Choose the option nearest in meaning to the underlined word(s).
I didn’t think she could be so easily taken in by his pretenses.
(a) flattered (b) deceived (c) overcomed (d) blackmailed 94. Choose the
option nearest in meaning to the underlined word(s).
The story told by the suspect was difficult to believe.
(a) incredulous (b) credible (c) credulous (d) ridiculous 95. Choose the option
nearest in meaning to the underlined word(s).
Most of his observations were wide off the mark.
(a) comprehensive (b) irrelevant (c) pertinent (d) came rather late
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96. Choose the option nearest in meaning to the underlined word(s).
He heard a loud noise of the huge air-raid siren.
(a) buzz (b) crack (c) rumble (d) whistle
97. Choose the option nearest in meaning to the underlined word(s).
One of the stages of the creative process is the incubation perio(d) This refers to the period when
(a) the idea is firmly fixed through repetition
(b) the person suddenly comes upon the idea
(c) the person thinks over the idea
(d) the person thinks over the idea
98. Choose the correct option that completes the following sentence.
The young teacher was surprised that his promotion was approved by the old inspector who is generally known
to … .
(a) be generous (b) be friendly to young people (c) be hard to please (d) be very careful
99. Complete the following with the appropriate answer to the question.
John, would you mind lifting this box?
(a) yes, I mind (b) no, I don’t (c) no, I do (d) yes, I don’t mind 100. Choose the
expression or word which best complete the sentence.
It was a long poem but he learnt it … .
(a) off head (b) in memory (c) by heart (d) at heart
101. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
Only the small fry get punished for such social misdemeanours
(a) small boys (b) unimportant people (c) frightened people (d) frivolous people
102. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
He spoke with his heart in his mouth.
(a) courageously
(b) with such unusual cowardice
(c) with a lot of confusion in his speech
(d) with fright and agitation
103. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
His jail terms were run concurrently.
(a) simultenously (b) uniformly (c) laboriously (d) judiciously
104. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
The bill has to wait as we are now insolvent.
(a) overworked (b) bankrupt (c) unsettled (d) affluent
105. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
All his plans fell through.
(a) failed (b) were accomplished (c) had to be reviewed (d) were rejected
106. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
The result of his experiment represents a breakthrough in medical science.
(a) an outstanding success
(b) catastrophe
(c) breaking point
(d) colossal failure
107. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
He was appointed specifically to put the recruits through.
(a) assign them to work
(b) train them
(c) discipline them
(d) assist them at work
108. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
Mrs Dada has been deserted by her husband because he feels she has a heart of stone.
(a) she has a heavy heart
(b) she has little warmth of feeling
(c) she has a hard heart
(d) she is hard-hearted
109. If my Father had not arrived, I would not have starved. This sentence means
(a) my father did arrive and I didn’t starve (b) I had to starve
because my father didn’t come
(c) my father didn’t arrive and I didn’t starve
(d) I had starved before my father arrived
110. Choose the option that most suitably fills the gap in the sentence below.
Before the operation, the dentist found that his patient’s teeth … .
(a) have long decayed
(b) have long been decayed
(c) have long being decayed
(d) had long decayed
111. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
The employer, not the salesman and his representative … responsible for the loss.
(a) are (b) are being (c) are never (d) is
112. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
In order to carry out necessary examination, the dead body was .. .
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(a) extracted (b) extradited (c) exiled (d) exhumed
113. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
He went abroad with a view … a business partner.
(a) to find (b) to be finding (c) to have found (d) to finding
114. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
He had just entered the office … the telephone rang.
(a) as (b) before (c) since (d) when
115. Choose the option that best conveys the meaning of the underlined portion of the below sentence.
My father cannot bear the … of the concoction that emanates from my mother’s soup pot.
(a) scent (b) aroma (c) smell (d) savour
116. Choose the word or phrase nearest in meaning to the word(s) underlined.
In some parts of our society, people are ostracized purely on the basis of their parentage.
(a) hated (b) disrespected (c) shut off from others (d) abandoned
117. Choose the word or phrase nearest in meaning to the word(s) underlined.
Sitting majestically on his throne is the Oba of Benin flanked by his wives.
(a) surrounded (b) supported (c) guarded (d) protected
118. Choose the appropriate option to fill the gap in the sentence below.
As a result of the injury sustained on the football field, Sola was … with a broken leg for months.
(a) laid off (b) laid out (c) laid on (d) laid up
119. Choose the word or phrase nearest in meaning to the word(s) underlined.
I listened with rapt attention as he never suspected that I knew he was telling me a cock and bull story.
(a) a story about a cock
(b) a story about a bull (c) an incredible
story
(d) an interesting story
120. Choose the word or phrase nearest in meaning to the word(s) underlined.
When a man is immune to an illness, he is
(a) opposed to it (b) attached to it (c) hated by it (d) protected against it
121. Complete the
sentence with the correct option.
Shall we go to the union meeting? No thank you, I do not feel like … anywhere.
(a) go (b) going (c) to go (d)to have gone
122. Complete the
sentence with the correct option.
I started writing this test at 8:00am. It is 10:00am now. By 11:00am, I … it for three hours.
(a) shall be writing (b) have been writing (c) shall have been writing (d) was writing
123. Complete
the sentence with the correct option.
Don’t study on the examination day. What did he tell you? He told me … on the examination day.
(a) no studying (b) don’t study (c) not study (d) not to study
124. Choose the
best option to fill the gaps in the following sentence.
I am a student and … Musa. I left for the university, and … Musa.
(a) was, does (b) so is, so did (c) so was, so does (d) he is, he did
125. Choose the
best option to fill the gaps in the following sentence.
You have been absent from classes for four months. How can you … for the lost time? (a) make in
(b) make up (c) make off (d) make out
ANSWERS: USE OF ENGLISH
1. C 38. A 75. C 112. D
2. B 39. C 76. C 113. D
3. B 40. C 77. A 114. D
4. B 41. C 78. D 115. C
5. A 42. C 79. D 116. C
6. B 43. C 80. B 117. A
7. C 44. D 81. C 118. A
8. C 45. B 82. D 119. C
9. D 46. A 83. D 120. D
10. C 47. B 84. C 121. B
11. C 48. A 85. A 122. C
12. B 49. A 86. C 123. D
13. C 50. B 87. A 124. B
14. B 51. D 88. B 125. B
15. C 52. D 89. C 16. D 53. B 90. C
17. A 54. C 91. B 18. B 55. A 92. C
19. A 56. B 93. B 20. B 57. A 94. C
21. D 58. B 95. B
22. A 59. A 96. D
23. B 60. B 97. C
24. B 61. D 98. D
25. C 62. A 99. B
26. B 63. B 100. C
27. A 64. A 101. B
28. B 65. D 102. D
29. A 66. C 103. A
30. D 67. C 104. B
31. D 68. D 105. A
32. B 69. D 106. A
33. C 70. C 107. B
34. A 71. B 108. D 35. C 72. A 109. A
36. C 73. B 110. D 37. B 74. D 111. D
MATHEMATICS
1. Solve for p in this following equation given in base two.
11(p+110) = 1001p
(a) 10 (b) 11 (c) 110 (d) 111.
2. In a class, 37 students take at least one of chemistry, economics and government, 8 students take chemistry,
19 take economics and 25 take government. 12 students take economics and government but nobody takes
chemistry and economics. How many students take both chemistry and government?
(a) 3 (b) 4 (c) 5 (d) 6.
3. A businessman invested a total of N200,000 in two companies which paid dividends of 5% and 7%
respectively. If he received a total of N11,600 as dividends, how much did he invest at 5%?
(a) N160,000 (b) N140,000 (c) N120,000 (d) N80,000.
4. A cyclist rode for 30minutes at xkm/hr. If the total distance covered is less than 60km, what is the range of
values of x?
(a) x<14 (b) x<20 (c) x<29 (d) x<28
5. Z is a partly constant and partly varies inversely as the square of d. when d = 1, z = 11 and when d= 2, z= 11.
Find the value of z when d = 4.
(a) 2 (b) 3.5 (c) 5 (d) 5.5
6. Factorize 16(3x+2y)2 – 25(a+2b)2
(a) (12x+8y+5a+10b) (12x+8y-5a-10b)
(b) (12x+8y-5a-10b) (12x+8y-5a-10b)
(c) 20(3x+2y-a-2b) (3x+2y+a+2b)
(d) 20(3x+2y+a+2b) (3x+2y+a+2b)
7. A cone has a base radius 4cm and height 3cm. The area of its curved surface is
(a) 12ᴫcm2 (b) 24 ᴫcm2 (c) 20 ᴫcm2 (d) 15 ᴫcm2
8. Let log y + log3 = 3. Then, y is
(a) 10) 3
9. Expand the expression (x2-2x-3)(x2+x+1)
(a) x – 4x - 5x – 3
(b) –x3 – 4x2 – 5x – 3
(c) x4 – x3 – 4x2 – 5x – 3 (d) x4 - 4x2 – 5x – 3.
10. A girl walks 30m from a point P on a bearing of 0400 to a point Q. She then walks 30m on a bearing of
1400 to a point R. the bearing of B from P is (a) 900 (b) 500 (c) 450 (d) 400
11. A regular polygon has each of it angles as 1600. What is the number of sides of the polygon?
(a) 36 (b)9 (c)18 (d)20.
12. The interior angles of a pentagon are: 1800, 1180, 800, 780 and x. The value of x is:
(a) 750 (b) 1080 (c) 1200 (d) 1340
13. All the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is 650. The
angle subtended at the centre of the circle by the base of the triangle is:
(a) 1300 (b) 1150 (c) 1000 (d) 650
14. A square tile measures 20cm by 20cm. How many of such files will cover a floor measuring 5m by 4m.
(a) 500 (b) 400 (c) 320 (d) 250
15. The volume of a certain sphere is numerically equal to twice its surface area. The diameter of the sphere is:
(a) 6 (b) 9 (c) 12 (d) √6 16. A bearing of
3100, expressed as a compass bearing is:
(a) N500W (b) N400W (c) S400W (d) S500W
17. The average of the three children in a family is 9 years. If the average age of their parents is 39 years, the
average age of the whole family is:
(a) 20 years (b) 21 years (c)24 years (d) 27 years.
18. Simplify 1 + 3 ÷ (1 +
19. Evaluate x in base 3 if 41x – 22x = 17x
(a) 11 (b) 8 (c) 12 (d) 22 20. A woman buys 4 bags of
rice for ₦56 per bag and 3 bags of beans for ₦26 per bag using the currency “NAIRA” (₦) in base 7. What is
the total cost of the items in another currency
“ANTI” (₳) in base 8?
(a) M224 (b) M114 (c) M340 (d) M440
21. When the price of egg was raised by ₦2 an egg, the number of eggs which can be bought for
₦120 is reduced by ₦5. The present price of an egg is
(a) ₦6 (b) ₦7 (c) ₦8 (d) ₦10
22. How long will it take a sum of money invested at 8% simple interest to double the original sum?
(a) 8 years (b) 10.5 years (c) 12 years (d) 12.5 years.
23. The journey from Lagos to Ibadan usually takes a motorist 1 hour 30 minutes. By increasing his average
speed by 20km/hr, the motorist saves 15 minutes. His usual speed, in km/hr is
(a) 100 (b) 90 (c) 85 (d) 80.
24. The smallest section of a rod which can be cut into exactly equal sections, each of either 30cm 0r 36cm in
length is
(a) 90cm (b) 180cm (c) 360cm (d) 540cm
25. If x = 0.0012 + 0.00074 + 0.003174, what is the difference between x and 2 decimal places and x to 1
significant figure?
(a) 0.01 (b) 0.0051 (c) 0.1 (d) 0.005
26. The angle of depression of two point A and B on a plane field from the top of a mast erected between A and
B are 300 and 450 respectively. If A is westward of B, find │AB│ if the height of the mast is 15m from the
field.
m (b) 5(3+√3 )m (c) 15(1+√3 )𝑚 (d) 15(√3 − 1)m
27. The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the are of the circle is
(c) 2% (d) 4%
28. In a survey of 100 students in an institution, 80 students speak Yoruba, 22 speak Igbo, while 6 speak neither
Igbo nor Yoruba. How many students speak Yoruba and Igbo.
(a) 96 (b) 8 (c) 64 (d) 12
29. A bag contains 5 yellow balls, 6 green and 9 black balls. A ball is drawn from the bag. What is the
probability that it is a black or yellow ball?
30. The expression a3 + b3 is equal to
(a) (a2 + b)(a – ab – b2)
(b) (a + b)(a2 – ab + b2)
(c) (a – b2)(a2 – ab + b)
(d)(a – b)(a2 + ab + b2)
31. A cylinder has height 4cm and base radius 5cm. its volume to 3 significant figure is
(a) 314.2cm2 (b) 31.42cm2 (c) 251.4cm2 (d) 251cm2
32. Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3).
(a) 4 (b) 6 (c) 3 (d) zero
33. Dividing 2x – x – 5x + 1 by x + 3 gives the remainder.
(a) -3 (b) 47 (c) 61 (d) -47
34. Let f(x) = 2x – 3x – 5x + 6. If x – 1 divides f(x) find the zeros of the function.
(a) 1, 2, (b) 1,2, (c) -1, 2, 3
35. The difference of two numbers is 10, while their product is 39. Find these numbers
(a) -3 and 10 or 13 and 10
(b) 3 and -10 or 3 and 13
(c) 3 and -3 or 3 and 13
(d) -3 and -13 or 13 and 3.
36. The average age of x pupils in a class is 14 years 2 months. A pupil of 15 years 2 months joins the class and
the average age is increased by one month. Find x.
(a) 12 (b) 6 (c) 11 (d) 14.
37. If the distance covered by a body in time t seconds is s = t3 – 6t2 – 5t, what is its initial velocity?
(a) 0ms-1 (b) -4ms-1 (c) (3t – 12t – 5)ms-1 (c) 5ms-1
38. In a throw of a fair die the probability of obtaining an even number is(a) 1
39. Two fair coins are tossed simultaneously. What is the probability of obtaining at least 1 tail turns up?
(d) 1
40. One angle of a polygon has each of its angles as 1600. What is the number of sides of the polygon?
(a) 18 (b) 36 (c) 9 (d) 20
41. One angle of an octagon is 1000 while the other sides are equal. Find each of these exterior angles.
(a) 80 (b) 60 (c) 140 (d) 40
42. In a right-angled triangle, tan Ө = , what is the value of sinӨ + cosӨ ?
43. If sin Ө = , then is
(a) sec Ө (b) tan Ө (c) sin Ө (d) a cos Ө
44. The coordinates of the point dividing the line AB (-1, 2) and B(3, 4) extremely in the ratio 3:2 is
(a) (11, 8) (b) (8, 5) (c) (5, 11) (d) (5, 9)
45. The point P (p, 5) lies on the line joining A (1, 2) and B (-4, 7). The ratio AP: AB is
(a) 2:3 (b) 3:2 (c) 4:5 (d) 3:4
46. The ends of a diameter of a circle are (-2, 3) and (4, 7). The equation of the circle is
(a) x2 + y2 – 2x -10y + 15 = 0
(b) x2 + y2 + 2x – 10y – 13 = 0
(c) x2 + y2 – 2x – 10y + 15 = 0 (d) x2 + y2 – 2x -10y -15 = 0.
47. The centre and radius of the circle with the equation x2 + y2 – 2x + 6y + 5 = 0 are respectively
(a) (1, 3) and 5 (b) (3, 1) and √5 (c) (1, -3) and √5 (d) (3, -1) and 5.
50. When the expression pm2 + qm + 1 is divided by (m – 1), it has a remainder of and when divided by (m + 1)
the remainder is 4. Find p and q respectively.
(a) 2, 1 (b) 2, -1 (c)-1, 2 (d) 1, 2.
51. If α and β are the roots of the equation x2 – 5x – 7 = 0. α2β + αβ2 is
(a) 35 (b) -35 (c) 42 (d) -42.
52. If α and β are the roots of the equation 2x2 + 7x + 3 = 0. Obtain the equation whose roots are and
(a) 9x2 – 37x + 4 = 0
(b) 4x2 + 49x + 9 = 0
(c) 2x2 – 7x + 3
(d) 3x2 – 37x – 2 = 0
53. If one root of the equation 27x2 + bx + 8 = 0 is the square of the other. Find b
(a) 20 (b) 25 (c) -30 (c) -25
54. For what values of m does the equation x2 + 9 = (4m + 1)x have equal roots?
(a) -2, 10 (b) -2, 10 (c) 2, -10 (d) 2, 10.
55. If log102 = y, express log1012.5 in terms of y.
(a) 2 – 3y (b) 2(1 – y) (c) 2(1 + y) (d) 2 + 3y.
56. Simplify
57. Find the roots of x3 – 2x2 – 5x + 6 = 0.
(a) 1, 3, -2 (b) 1, 2, -3 (c) -1, -2, 3 (d) -1, 2, 3
58. Find the remainder when 3x3 + 5x2 – 11x + 4 is divided by x + 3
(a) 4 (b) 1 (c) -1 (d) -4
59. What factor is common to all the expressions x2 – x, 2x2 – 1 and x2 – 1?
(a) x (b) x -1 (c) x + 1 (d) no common factor.
60. In class of 40 students, 32 offers Mathematics, 24 offer Physics and offer neither Mathematics nor Physics.
How many offer both Mathematics and Physics?
(a) 4 (b) 16 (c) 20 (d) 8
61. The probability of a student passing any exam is 2/3. If the student takes three exams, what is the
probability that he will not pass any of them?
(a) 2/3 (b) 4/9 (c) 8/27 (d) 1/27
62. Find the mean of the data: 7, -3, 4, -2, 5, -9, 4, 8, -6, 12.
(a) 3 (b) 4 (c) 1 (d) 2
63. Find the value of a if the line 2y – ax + 4 = 0 is perpendicular to the line y + (x/4)-7=0
(a) -4 (b) 4 (c) 8 (d) -8
64. A hunter 1.6m tall, views a bird on top of a tree at an angle of 45 degrees. If the distance between the hunter
and the tree is 10.4m, find the height of the tree.
(a) 9.0m (b) 12.0m (c) 8.8m (d) 10.4m
65. The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?
(a) 12 (b) 20 (c) 40 (d) 10
66. A bucket is 12cm in diameter at the top, 8cm in diameter at the bottom and 4cm deep. Calculate its volume.
(a) 304π/3 cm3 (b) 144 π/3 cm3 (c) 128 π/3 cm3 (d) 72 π/3 cm3
67. If tan = 4/3, calculate sin2 𝜃 – cos2 𝜃
(a) 16/25 (b) 24/25 (c) 7/25 (d) 9/25
68. If x varies directly as and x = 9 when n = 9, find x when n = (17/9).
(d) √17
69. The binary operation * is defined on the set of integers p and q by p * q = pq + p + q.
Find 2 * (3 * 4).
(a) 59 (b) 19 (c) 67 (d) 38
70. The inverse function f(x) = 3x + 4 is
(a) (x-4)/3 (b) (x-5)/5 (c) (x+3)/4 (d) (x+4)/3
71. If the 9th term of an A.P. is five times the 5th term, find the relationship between a and d.
(a) 2a + 2 = 0 (b) 3a + 5d = 0 (c) a + 3d = 0 (d) a + 2d = 0.
72. Evaluate ∫ sin 3𝑥 𝑑𝑥
(a) (2/3) cos 3x + c (b) (1/3) cos 3x + c (c) (-1/3) cos 3x + c (d) (-2/3) cos 3x + c
75. Find the derivative of y = sin2 (5x) with respect to x.
(a) 10 sin 5x cos 5x (b) 5 sin 5x cos 5x (c) 2 sin 5x cos 5x (d) 15 sin 5x cos 5x
76. A circle with radius 5cm has its radius increasing at the rate of 0.2 m/s. What will be the corresponding
increase in the area?
(a) 2π (b) 5π (c) π (d) 4 π
77. The slope of the tangent to the curve y = 3x2 – 2x + 5 at the point (1, 6) is
(a) 4 (b) 1 (c) 6 (d) 5
78. If dy/dx = 2x – 3 and y = 3 when x = 0, find y in terms of x.
(a) 2x2 – 3x (b) x2 – 3x (c) x2 – 3x – 3 (d) x2 – 3x + 3
79. Evaluate: (0.21 x 0.072 x 0.00054) ÷ (0.006 x 1.68 x 0.063), correct to 4 s.f.
(a) 0.01286 (b) 0.01285 (c) 0.1286 (d) 0.1285
80. If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X.
(a) (1/2) X (b) X – (1/4) (c) X – (1/3) (d) X – (1/2)
81. If {(a2b-3c)(3/4))/a-1b-4c5} = apbqcr. What is the value of p + 2q?
(a) (5/2) (b) –(5/4) (c) –(25/4) (d) -10
82. A trader bought 100 oranges at 5 for N1.20, 20 oranges got spoilt and the remaining were sold at for N1.50.
Find the percentage gain or loss.
(a) 30% gain (b) 25% gain (c) 30% loss (d) 25% loss
83. If 29 x (3Y)9 = 35 x (3Y)5, find the value of Y.
(a) 4 (b) 3 (c) 2 (d) 1
84. If m*n = (m/n –n/m) for m, n belongs to R, evaluate -3*4.
(a) -25/12 (b) -7/12 (c) 7/12 (d) 25/12
85. Factorize completely X2 + 2XY + Y2 + 3X + 3Y – 18
(a) (x+y+6) (x+y+3) (b) (x-y-6) (x+y+3) (c) (x-y+6) (x-y-3) (d) (x+y-6) (x+y+3)
86. Tope bought X mangoes at N5.00 each and some apples at N4.00 each. If she bought twice as many apples
as mangoes and spent at least N65.00 and at most N130.00, find the range of values of X.
(a) 4≤X≤5 (b) 5≤X≤8 (c) 5≤X≤10 (d) 8≤X≤10
87. Express 1/(x3 – 1) in partial fraction.
(a) 1/3 {(1/x-1) – (x – 2/x2 – x + 1)}
(b) 1/3 {(1/x – 1) – (x + 2/x2 + x + 1)}
(c) 1/3 {(1/x – 1) – (x - 2/x2 + x + 1)}
(d) 1/3 {(1/x – 1) – (x - 2/x2 - x - 1)}
88. Divide 4x3 – 3x – 1 by 2x – 1.
(a) 2x2 – x + 1 (b) 2x2 – x – 1 (c) 2x2 + x + 1 (d) 2x2 + x – 1#
89. In ΔMNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of N and M meets NO at P,
calculate NP.
(a) 4.8 units (b) 7.2 units (c) 8.0 units (d) 18.0 units
90. From a point P, the bearings of two points Q and R are 670W and N230E respectively. If the bearing of R
from Q is N680E and PQ = 150m, calculate PR.
(a) 120m (b) 140m (c) 150m (d) 160m
91. A two-digit number, say AB was mistakenly written as BA by an overworked student. Due to this error, the
student was working with a number bigger in value, and its difference with the actual number is one less than
the actual number. If the sum of the two digits is half a score. What is the actual number?
(a) 43 (b) 34 (c) 73 (d) 37
92. Evaluate . Where letter z = π/4.
(a) √2 + 1 (b) √2 − 1 (c) -√2 − 1 (d) 1 -
93. Let P = {1, 2, u, v, w, x}; Q = {2, 3, u, v, w, 5, 6, y} and R = {2, 3, 4, v, x, y}.
Determine (P - Q) n R.
(a) {1, x} (b) {x, y} (c) {x} (d) 0.
93. If (2√3 - √2 )/( √3 + 2√2 ) = m + n√6 , find the values of m and n respectively.
(a) 1, -2 (b) -2, 1 (c) -2/5 (d) 2, 3/5
94. A man wishes to keep his money in a savings deposit at 25% compound interest so that after three years he
can buy a car for N150,000. How much does he need to deposit?
(a) N112,000.50 (b) N96,000.00 (c) N85,714.28 (d) N76,800.00
95. If 31410 – 2567 = 340x, find x.
(a) 7 (b) 8 (c) 9 (d) 10
96. The third term of an A.P. is 4x – 2y and the 9th term is 10x – 8y. Find the common difference.
(a) 19x – 17y (b) 8x – 4y (c) x – y (d) 2x
97. A trader realizes 10x – x2 naira profit from the sale of x bags of corn. How many bags will give him the
desired profit?
(a) 4 (b) 5 (c) 6 (d) 7
98. Solve the inequality 2 – x > x2
(a) x < -2 or x > 1 (b) x > 2 or x < -1 (c) -1 < x < 2 (d) -2 > x < 1
99. If α and β are the roots of the equation 3x2 + 5x – 2 = 0, find the value of 1/ α + 1/ β.
(a) -5/3 (b) -2/3 (c) ½ (d) 5/2
100. An equilateral triangle of side√3 cm is inscribed in a circle. Find the radius of the circle.
(a) 2/3 cm (b) 2 cm (c) 1 cm (d) 3 cm
101. If y = 2x – sin 2x, find dy/dx when x = π/4.
(a) π (b) – π (c) π/2 (d) – π/2
102. If the volume of a hemisphere is increasing at a steady rate of 18 π m/s, at what rate is its radius changing
when it is 6m?
(a) 2.30 m/s (b) 2.00 m/s (c) 0.25 m/s (d) 0.20 m/s 103. If the
mean of the numbers 0, (x + 2), (3x + 6) and (4x + 8) is 4, find their mean deviation.
(a) 0 (b) 2 (c) 3 (d) 4
104. In how many ways can the word MATHEMATICS be arranged?
(a) 11!/(9!2!) (b) 11!/(9!2!2!) (c) 11!/(2!2!2!) (d) 11!/(2!2!)
105. The variance of x, 2x, 3x, 4x and 5x is
(a) x√2 (b) 2x2 (c) x2 (d) 3x
106. Find the sum of the range and the mode of the set of numbers: 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10,
9, 10, 9, 7, 10, 6, 5.
(a) 16 (b) 14 (c) 12 (d) 10
107. In how many ways can a delegation of 3 be chosen from among 5 men and 3 women, if at least one man
and at least one woman must be included?
(a) 15 (b) 28 (c) 30 (d) 45
109. Find the range of these fractions: 1/6, 1/3, 3/2, 2/3, 8/9 and 4/3
(a) ¾ (b) 5/6 (c) 7/6 (d) 4/3
110. Find the number of ways of selecting 8 subjects from 12 subjects for an examination.
(a) 490 (b) 495 (c) 496 (d) 498
111. Teams P and Q are involved in a game of football. What is the probability that the game ends in a draw?
(a) 2/3 (b) ½ (c) 1/3 (d) ¼
112. Find the rate of change of the volume V of a sphere with respect to its radius r, when r = 1.
(a) 12 π (b) 4 π (c) 24 π (d) 8 π
113. Differentiate (2x + 5)2 (x – 4) with respect to x.
(a) 4 (2x + 5) (x – 4)
(b) 4 (2x + 5) (x – 3)
(c) (2x + 5) (2x – 13) (d) (2x + 5) (6 – 11)
114. P (-6, 1) and Q (6, 6) are the two ends of the diameter of a given circle. Calculate the radius.
(a) 6.5 units (b) 13.0 units (c) 3.5 units (d) 7.0 units
115. Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.
(a) 6 (b) 2 (c) 3 (d) 8
116. A sector of a circle of radius 7.2 cm which subtends an angle of 3000 at the centre is used to form a cone.
What is the radius of the base of the cone?
(a) 8 cm (b) 6 cm (c) 9 cm (d) 7 cm
117. Solve the equations: m2 + n2 = 29, m + n = 7 (a) (2,3) and (3,5) (b) (2,5) and (5,2) (c) (5,2) and (5,3) (d) (5,3) and (3,5)
118. Find the principal which amounts to N5,500 at a simple interest in 5 years at 2% per annum.
(a) N4,900 (b) N5,000 (c) N4,700 (d) N,4800
119. If x = (y/2), evaluate {(x3/y3) + (1/2)} ÷ {(1/2) – (x2/y2)}
(a) 5/8 (b) 5/2 (c) 5/4 (d)5/16
120. Expression ax2 + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what re the values of a, b, c
respectively?
(a) 1, 3, 1 (b) 1, 2, 1 (c) 2, 1, 1 (d) 1, 1, 3
121. Evaluate dx
(a) -10/3 (b) 7 (c) 9 (d) 11
122. If the minimum value of y = 1 + hx – 3x2 is 13, find h.
(a) 13 (b) 12 (c) 11 (d) 10
123. In a youth club with 94 members, 60 like modern music, and 50 like traditional music. The number of
members who like both traditional and modern music is three times that of those who do not like any type of
music. How many members like only one type of music?
(a) 8 (b) 24 (c) 62 (d) 86
124. Simplify 3(2n+1) – 4(2n-1) ÷ 2n+1 – 2n
(a) 2n-1 (b) 2n-1 (c) 4 (d) ¼
125. If (x – 1), (x + 1) and (x – 2) are factors of the polynomial ax3 + bx2 + cx – 1, find a, b, c in that order.
(a) -1/2, 1, ½ (b) ½, 1, 1/2 (c) ½, 1, -1/2 (d) ½, -1, 1/2
ANSWERS:
MATHEMATICS
1. A 38. C 75. A 112. B
2. A 39. C 76. A 113. C
3. C 40. C 77. A 114. A
4. B 41. C 78. D 115. A
5. B 42. A 79. A 116. B
6. A 43. 80. C 117. B
7. A 44. 81. D 118. B
8. A 45. 82. B 119. B
9. C 46. 83. D 120. D
10. B* 47. B* 84. C 121. C
11. D 48. A 85. A 122. C
12. D 49. B* 86. C 123. C
13. B 50. B 87. C 124. C
14. A 51. B 88. D 125. D
15. A* 52. A 89. B
16. A 53. B 90. C
17. D 54. 91. D
18. A 55. B 92. B
19. A 56. B 93. B
20. B 57. A 94. D
21. C 58. B 95. A
22. B 59. D 96. C
23. B 60. C 97. B
24. B 61. D 98. D
25. A 62. D 99. D
26. A 63. C 100. C
27. B 64. D 101. D
28. B 65. A 102. C 29. B 66. A
103. C 30. D 67. C 104. C
31. B 68. D 105. B
32. A 69. A 106. A 33. D
70. A 107. D 34. B 71. D
108. A
35. D 72. C 109. D
36. A 73. C 110. B
37. C 74. A 111. D
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