Question Library
Browse, filter, and study verified past examination questions with step-by-step mathematical reasoning.
Searching 18,000+ Questions...
Sifting topics, KaTeX formulas & verified solutions
Showing 12316–12330 of 14893 verified questions
Sort by:
Mathematics
UTME / JAMB 1986
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
The table below gives the scores of a group of students in a Mathematical test.
\(\begin{array}{c|c} Scores & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline Frequency & 2 & 4 & 7 & 14 & 12 & 6 & 4 & 1\end{array}\)
If the mode in m and the number of students who scored 4 or less is s. What is (s, m)?
A
(27, 4)
B
(14,4)
C
(13,4)
D
(4,4)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
M = mode = the number having the highest frequency = 4
S = Number of students with 4 or less marks
= 14 + 7 + 4 + 2
= 27
∴ (M,S) = (27, 4)
Source: Myschool Past Questions Archive (Record #32178)
Mathematics
UTME / JAMB 1986
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram, PQ and RS are chords of a circle centre O which meet at T outside the circle. If TP = 24cm. TQ = 8cm and TS = 12cm, find TR.
Attached Figure / Diagram
A
16cm
B
14cm
C
12cm
D
8cm
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
PT x QT = TR x TS
24 x 8 = TR x 12
TR = \(\frac{24 \times 8}{12}\)
= = 16cm
Source: Myschool Past Questions Archive (Record #32833)
Mathematics
UTME / JAMB 1986
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume
Attached Figure / Diagram
A
120m2
B
576m3
C
816m3
D
1056m3
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Volume of solid = cross section x H
Since the cross section is a trapezium
= \(\frac{1}{2} (6 + 11) \times 12 \times 8\)
= 6 x 17 x 8 = 816m3
Source: Myschool Past Questions Archive (Record #32835)
Mathematics
UTME / JAMB 1986
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
PQ and PR are tangents from P to a circle centre O as shown in the figure. If QRP = 34o, find the angle marked x
Attached Figure / Diagram
A
34o
B
56o
C
68o
D
112o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
From the circle centre 0, if PQ & PR are tangents from P and QRP = 34o
Then the angle marked x i.e. QOP
34o x 2 = 68o
Source: Myschool Past Questions Archive (Record #32836)
Mathematics
UTME / JAMB 1986
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the figure, \(\bigtriangleup\)PQT is isosceles. PQ = QT, SRQ = 35o, TPQ = 20o and PQR is a straight line.Calculate TSR
Attached Figure / Diagram
A
20o
B
55o
C
75o
D
140o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Given \(\bigtriangleup\) isosceles PQ = QT, SRQ = 35o
TPQ = 20o
PQR = is a straight line
Since PQ = QT, angle P = angle T = 20o
Angle PQR = 180o - (20 + 20) = 140o
TQR = 180o - 140o = 40o < on a straight line
QSR = 180o - (40 + 35)o = 105o
TSR = 180o - 105o
= 75o
Source: Myschool Past Questions Archive (Record #32838)
Mathematics
UTME / JAMB 1986
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
in the figure, PQ||ST, RS||UV. If PQR = 35o and QRS = 65o, find STV
Attached Figure / Diagram
A
30o
B
35o
C
55o
D
65o
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Draw a line WX through R and parallel to \(\overline{PQ}\) and \(\overline{ST}\) as shown in the diagram above
X\(\widehat{R}\)Q = P\(\widehat{Q}\)R = 35º
X\(\widehat{R}\)Q + X\(\widehat{R}\)S = 65º
35 + x = 65
x = 65 - 35 = 30º
R\(\widehat{S}\)T = 30º (Alternative angle)
S\(\widehat{T}\)V = 30º (Alternative angle)
Source: Myschool Past Questions Archive (Record #32841)
Mathematics
UTME / JAMB 1986
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
The people in a city with a population of 0.9 million were grouped according to their ages. Use the diagram to determine the number of people in the 15 - 29 years group
Attached Figure / Diagram
A
29 x 104
B
26 x 104
C
16 x 104
D
13 x 104
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
15 - 29 years is represented by 104o
Number of people in the group is \(\frac{104}{360}\) x 0.9m
= 260000 = 26 x 104
Source: Myschool Past Questions Archive (Record #32845)
Mathematics
UTME / JAMB 1986
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In \(\bigtriangleup\)XYZ, determine the cosine of angle Z.
Attached Figure / Diagram
A
\(\frac{3}{39}\)
B
\(\frac{29}{36}\)
C
\(\frac{14}{5}\)
D
\(\frac{7}{5}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
cos z = \(\frac{y^2 + x^2 -z^2}{2yx}\)
= \(\frac{9 + 36 - 16}{2(3)(6)}\)
= \(\frac{29}{36}\)
Source: Myschool Past Questions Archive (Record #32859)
English Language
UTME / JAMB 1986
Antonyms (Opposite in Meaning)
In the question below choose the option opposite in meaning to the word underlined:
Mr Jack was most flexible in his instruction
A
rigid
B
correct
C
stiff
D
upright
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 #4649)
English Language
UTME / JAMB 1986
Antonyms (Opposite in Meaning)
In the question below choose the option opposite in meaning to the word underlined:
The Universities has offered temporary accommodation for staff
A
popular
B
permanent
C
recognized
D
regular
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 #4651)
English Language
UTME / JAMB 1986
Antonyms (Opposite in Meaning)
In the question below choose the option opposite in meaning to the word underlined:
Mary complained that she slept on the coarse floor
A
smooth
B
rough
C
bad
D
harsh
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 #4652)
English Language
UTME / JAMB 1986
Antonyms (Opposite in Meaning)
In the question below choose the option opposite in meaning to the word underlined:
Jim was one of the spectators as the concert
A
ushers
B
judges
C
guest
D
performers
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #4653)
English Language
UTME / JAMB 1986
Antonyms (Opposite in Meaning)
In the question below choose the option opposite in meaning to the word underlined:The Governor declined to give audience to the journalist.
A
ignored
B
accepted
C
forgot
D
rejected
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 #4655)
English Language
UTME / JAMB 1986
Antonyms (Opposite in Meaning)
In the question below choose the option opposite in meaning to the word underlined:
The debtor's husband is liable for his wife's debts
A
unanswerable
B
responsible
C
unquestionable
D
accountable
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 #4656)
English Language
UTME / JAMB 1986
Antonyms (Opposite in Meaning)
In the question below choose the option opposite in meaning to the word underlined:
The lotion recommended by the doctor soothed Okon's aching tooth
A
calmed
B
extracted
C
excited
D
worsened
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #4657)