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Mathematics
UTME / JAMB 1979
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
PQ is parallel to RS. Calculate the value of x.
Attached Figure / Diagram
A
20o
B
40o
C
60o
D
80o
E
100o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
< D = 180º - 100º
= 80º (< on a str. line)
< S = 60º - alternate angle
x = 180º - (80º + 60º)
180º - 140º = 40º
Source: Myschool Past Questions Archive (Record #32740)
Mathematics
UTME / JAMB 1979
Indices, Logarithms & Surds
Diagram
Solution
Find x in the diagram below.
Attached Figure / Diagram
A
3\(\sqrt{3}\)
B
\(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
C
\(\frac{(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
D
\(\frac{3 - 1}{\sqrt{3} + 1}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{x + 3}{sin 60^o}\) = \(\frac{x}{sin 306o}\)
3sin 30o = x sin 60o - x sin 30o
= x(sin 60o - sin 30o)
but sin 30o = \(\frac{1}{2}\)
sin 60o = \(\frac{3}{2}\) = \(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
Source: Myschool Past Questions Archive (Record #32741)
Mathematics
UTME / JAMB 1979
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
The area under the speed time graph given the total distance covered by car. What is the average velocity to two places of decimals?
Attached Figure / Diagram
A
17.72 meter/sec.
B
21.67 meters/sec
C
2.5 meter/sec.
D
20.45 meters/sec.
E
13.33 meter/sec.
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Time(sec) areas of the three sides are \(\frac{1}{2}\) x 2 x 20 = 20 x 2 = 40
\(\frac{1}{2}\) x 4 x 20 = 40
40 + 40 = 80
vel. = \(\frac{80}{4}\)
20 + 0.45 = 20.45 meter/sec.
Source: Myschool Past Questions Archive (Record #32742)
English Language
UTME / JAMB 1979
Lexis, Structure & Register (Cloze & Vocabulary)
Choose the expression or word which best complete each sentence:
....for the team for six years, he decided to join another
A
When he played
B
Playing
C
Having played
D
In playing
E
when he was playing
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #609)
English Language
UTME / JAMB 1979
Lexis, Structure & Register (Cloze & Vocabulary)
Choose the expression or word which best complete each sentence:
The bridge connecting the two cities was .... by the enemy
A
blown up
B
blown down
C
blown off
D
blown over
E
blown away
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #610)
English Language
UTME / JAMB 1979
Question Tags, Modals & Pronouns
Choose the expression or word which best complete each sentence:
My little boy is suffering .... jaundice
A
from
B
of
C
for
D
with
E
by
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #611)
English Language
UTME / JAMB 1979
Lexis, Structure & Register (Cloze & Vocabulary)
Choose the expression or word which best complete each sentence:
They went to the market and bought a suitcase and .... bag
A
a big leather brown
B
a leather brown big
C
a big brown leather
D
a brown big leather
E
a leather big brown
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #612)
English Language
UTME / JAMB 1979
Lexis, Structure & Register (Cloze & Vocabulary)
Solution
Choose the expression or word which best complete each sentence:
By the end of this year, .... in this town for eleven years
A
i'm living
B
i'd be living
C
i'll live
D
i'll have lived
E
i have lived
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
The correct option is D. The statement 'By the end of this year, i will have lived in this town for eleven years' is a future perfect tense. A future perfect tense is a combination of future time and the present perfect tense. This means, the speaker has been living and still lives in the town, and by the end of the year it will be eleven years since he started living in the town.
This phrase ''will + have'' shows an action or event that started in the past, is starting or will start in the future and that will also be completed at some future time.
For instance, At 2:30 tomorrow afternoon, I will have finished my third class. (My classes won't begin until tomorrow morning and they won't finish until tomorrow at 2:30 PM.)
Source: Myschool Past Questions Archive (Record #613)
English Language
UTME / JAMB 1979
Tenses, Aspect & Conditionals
Solution
Choose the expression or word which best complete each sentence:
If he had left home earlier, he .... late
A
would not be
B
would have not be
C
would not been
D
would have been not
E
would not have been
medium Difficulty
Verified Correct Answer: Option E
Grammar & Contextual Explanation
The correct option is ''would not have been''.
Would is a conditional mood. “Have + been” marks the past tense. As you may know, conditional grammar expresses an idea that is not real. It didn't happen
From the above statement, we can see that ,he didn't leave earlier, so he arrived late at his destination.
Source: Myschool Past Questions Archive (Record #614)
English Language
UTME / JAMB 1979
Lexis, Structure & Register (Cloze & Vocabulary)
Choose the expression or word which best complete each sentence:
I saw you walking in that direction but i did not know exactly ....
A
where are you going
B
where you were going
C
where were you going to
D
to where were you going
E
where you are going
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #616)
English Language
UTME / JAMB 1979
Clauses, Phrases, Voice & Reported Speech
Solution
Choose the expression or word which best complete each sentence:
The hill behind the town was so steep ....
A
that no man could find a foot-hold on
B
that any man could find a foot-hold on it
C
for no man to find a foot-hold on
D
that no man could find a foot-hold on it
E
for any man to find a foot-hold on
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
The sentence begins with “so… that…”, which requires a result clause.
✔ Correct structure:
so + adjective + that + clause (subject + verb)
So:
“so steep that no man could find a foot-hold on it”
Source: Myschool Past Questions Archive (Record #617)
English Language
UTME / JAMB 1979
Lexis, Structure & Register (Cloze & Vocabulary)
Choose the expression or word which best complete each sentence:
Walking down the street ....
A
the boy was knocked down by a car
B
a car knocked the boy down
C
the boy was knocked down by car
D
a car collided with the boy
E
a serious accident happened
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #618)
English Language
UTME / JAMB 1979
Lexis, Structure & Register (Cloze & Vocabulary)
Choose the expression or word which best complete each sentence:
The project which seemed very near realization .... because of lack of funds
A
fell over
B
fell through
C
fell off
D
fell in
E
fell down
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #619)
English Language
UTME / JAMB 1979
Lexis, Structure & Register (Cloze & Vocabulary)
Choose the expression or word which best complete each sentence:
The chairman of the company was very sympathetic .... his staff
A
to
B
at
C
for
D
from
E
on
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #620)
English Language
UTME / JAMB 1979
Lexis, Structure & Register (Cloze & Vocabulary)
Choose the expression or word which best complete each sentences:
Jane asked James ....
A
whether could she meet him later
B
could she meet him later
C
if she could meet him later
D
she could meet him later
E
that she could meet him later
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #634)