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Mathematics
UTME / JAMB 1984
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the figure, QRS is a line, PSQ = 35o, SPR = 30o and O is the centre of the circle. Find OQP.
Attached Figure / Diagram
A
35o
B
30o
C
130o
D
25o
E
65o
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
< PSQ = 35o, < SPR = 30o
O is the centre of the circle, PRQ = 65o
< OQP = 90 - 65
= 25o
Source: Myschool Past Questions Archive (Record #32780)
Mathematics
UTME / JAMB 1984
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the figure, determine the angle marked y
Attached Figure / Diagram
A
66o
B
110o
C
26o
D
70o
E
44o
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
From the diagram, o, o
o - (70 + 44o) = 66o
Source: Myschool Past Questions Archive (Record #32781)
Mathematics
UTME / JAMB 1984
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
Find the x co-ordinates of the points of intersection of the two equations in the graph
Attached Figure / Diagram
A
1, 1
B
0, 4
C
0,0
D
4, 0
E
4, 9
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
If y = 2x + 1 and y = x2 - 2x + 1
then x2 - 2x + 1 = 2x + 1
x2 - 4x = 0
x(x - 4) = 0
x = 0 or 4
Source: Myschool Past Questions Archive (Record #32782)
Mathematics
UTME / JAMB 1984
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the figure, TSP = PRQ, QR = 8cm, PR = 6cm and ST = 12cm. Find the length SP
Attached Figure / Diagram
A
4cm
B
16cm
C
9cm
D
14cm
E
Impossible, insufficient data
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{PQ}{6 + RT} = \frac{6}{12} = \frac{6}{PS}\)(Similar triangles)
\(\frac{6}{12} = \frac{8}{PS}\)
PS = \(\frac{12 \times 8}{6}\)
= 16cm
Source: Myschool Past Questions Archive (Record #32783)
Mathematics
UTME / JAMB 1984
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the figure, O is the centre of circle PQRS and PS//RT. If PRT = 135, then PSO is
Attached Figure / Diagram
A
67\(\frac{1}{2}\)o
B
22\(\frac{1}{2}\)o
C
33\(\frac{1}{2}\)o
D
45o
E
90o
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
< R = 180o - 45o (sum of angles on a straight line)
< R = < P = 45o (corresponding angles)
< PSO = < P = 45o (\(\bigtriangleup\)PSO is a right angle)
Source: Myschool Past Questions Archive (Record #32784)
Mathematics
UTME / JAMB 1984
Indices, Logarithms & Surds
Diagram
Solution
XYZ is a triangle and XW is perpendicular to YZ at = W. If XZ = 5cm and WZ = 4cm, Calculate XY.
Attached Figure / Diagram
A
5\(\sqrt{3}\)cm
B
3\(\sqrt{5}\)cm
C
3\(\sqrt{3}\)cm
D
5cm
E
6cm
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
by Pythagoras's theorem, XW = 3cm
Also by Pythagoras theorem, XY2 = 62 + 32
XY2 = 36 + 9 = 45
XY = \(\sqrt{45} = 3 \sqrt{5}\)
Source: Myschool Past Questions Archive (Record #32785)
English Language
UTME / JAMB 1984
Synonyms (Nearest in Meaning)
Solution
In the question below choose the option nearest in meaning to the underlined:
The meeting was cancelled because of the convocation
A
brought up
B
called off
C
broke off
D
dropped out
E
phased out
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
"The meeting was cancelled because of the convocation" indicates that the meeting did not take place due to some event or gathering. In this context, "called off" is the option that is closest in meaning.
Explanation:
- A. "Brought up" means to introduce a topic or bring something to someone's attention. This is not relevant to the context of cancelling a meeting.
- B. "Called off" means to cancel or terminate an event. This is the correct choice.
- C. "Broke off" typically refers to the sudden interruption or ending of something, such as a conversation or a relationship. It doesn't precisely convey the idea of cancelling a meeting.
- D. "Dropped out" usually refers to withdrawing or leaving a group or activity voluntarily, which doesn't match the context of cancelling a meeting.
- E. "Phased out" means to gradually discontinue or reduce something over time. This is not the appropriate choice for cancelling a meeting due to a specific event.
Therefore, the best option is B. "Called off," which accurately conveys the idea that the meeting was cancelled.
Source: Myschool Past Questions Archive (Record #3918)
English Language
UTME / JAMB 1984
Synonyms (Nearest in Meaning)
In the question below choose the option nearest in meaning to the underlined:
Our town is so small that we are always meeting our schoolmates accidentally
A
coming across
B
falling into
C
knocking up
D
running up
E
running into
medium Difficulty
Verified Correct Answer: Option E
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #3919)
English Language
UTME / JAMB 1984
Synonyms (Nearest in Meaning)
Solution
In the question below choose the option nearest in meaning to the underlined:
Can you give a good explanation for your behaviour?
A
account for
B
call for
C
clear up
D
make up
E
give up
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
The phrase "account for" means to explain or justify something, which is closest in meaning to "give a good explanation for"
Source: Myschool Past Questions Archive (Record #3920)
English Language
UTME / JAMB 1984
Synonyms (Nearest in Meaning)
In the question below choose the option nearest in meaning to the underlined:
be careful!. We are approaching the crossroads
A
look up
B
watch out
C
look out
D
hold up
E
look in
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 #3921)
English Language
UTME / JAMB 1984
Synonyms (Nearest in Meaning)
Solution
In the question below choose the option nearest in meaning to the underlined:
Thousands of students are candidates for the examination but only very few pass
A
come into
B
call for
C
go into
D
enter for
E
turn up for
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
In the sentence "Thousands of students are candidates for the examination but only very few pass," the phrase "enter for" is used to indicate that the students have registered or applied to take the examination.
Option D, "enter for," is the most appropriate choice because it conveys the idea that the students have enrolled or signed up to participate in the examination. This option best captures the meaning of being a candidate for the examination in the context of the sentence.
Source: Myschool Past Questions Archive (Record #3922)
English Language
UTME / JAMB 1984
Synonyms (Nearest in Meaning)
In the question below choose the option nearest in meaning to the underlined:
He went through fire before he qualified as a doctor
A
had a fire accident
B
made a lot of fire
C
suffered a lot
D
underwent some purification
E
required a lot of fire
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 #3923)
English Language
UTME / JAMB 1984
Synonyms (Nearest in Meaning)
In the question below choose the option nearest in meaning to the underlined:
Osyaku started playing football because he thought it would develop him physically
A
took up football
B
picked up football
C
returned football
D
took up with football
E
put in for football
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 #3924)
English Language
UTME / JAMB 1984
Synonyms (Nearest in Meaning)
In the question below choose the option nearest in meaning to the underlined:
Once i have finished all my homework, i am permitted to watch television
A
I can only watch television at any time
B
I can only watch television after doing my homework
C
Television comes first, then homework second
D
I can only finish my homework after permission to watch television
E
after watching television i finished my homework
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 #3925)
English Language
UTME / JAMB 1984
Synonyms (Nearest in Meaning)
Solution
In the question below, choose the option nearest in meaning to the underlined:
For all he cared, the game was as good as lost.
A
He did not care if the game was lost
B
He could not care less if the game was lost
C
He was almost certain that the game would be lost
D
He was afraid the game would be lost
E
Thegame was very good, and he cared very much about losing
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
The expression “For all he cared” means “he was indifferent” or “it made no difference to him.” Option A (He did not care if the game was lost) captures the idea of indifference exactly.
Source: Myschool Past Questions Archive (Record #3926)