Mathematics Past Questions

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48 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
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Past Questions

48 questions
Question 1 of 20 48 total questions
Question 1
jamb 1986

In \(\bigtriangleup\)XYZ, determine the cosine of angle Z.

A\(\frac{3}{39}\)
B\(\frac{29}{36}\)
C\(\frac{14}{5}\)
D\(\frac{7}{5}\)
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Question 2
jamb 1986
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
A29 x 104
B26 x 104
C16 x 104
D13 x 104
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Question 3
jamb 1986

in the figure, PQ||ST, RS||UV. If PQR = 35o and QRS = 65o, find STV

A30o
B35o
C55o
D65o
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Question 4
jamb 1986

In the figure, \(\bigtriangleup\)PQT is isosceles. PQ = QT, SRQ = 35o, TPQ = 20o and PQR is a straight line.Calculate TSR

A20o
B55o
C75o
D140o
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Question 5
jamb 1986
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
A34o
B56o
C68o
D112o
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Question 6
jamb 1986
The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume
A120m2
B576m3
C816m3
D1056m3
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Question 7
jamb 1986
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.
A16cm
B14cm
C12cm
D8cm
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Question 8
jamb 1986
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)
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Question 9
jamb 1986
A man kept 6 black, 5 brown and 7 purple shirts in a drawer. What is the probability of his picking a purple shirt with his eyes closed?
A\(\frac{1}{7}\)
B\(\frac{11}{18}\)
C\(\frac{7}{18}\)
D\(\frac{7}{11}\)
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Question 10
jamb 1986

Find the probability that a number selected at random from 40 to 50 is a prime

A\(\frac{2}{11}\)
B\(\frac{5}{11}\)
C\(\frac{3}{11}\)
D\(\frac{4}{11}\)
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Question 11
jamb 1986
Find the median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119
A131
B125
C123
D120
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Question 12
jamb 1986
Of the nine hundred students admitted in a university in 1979, the following was the distribution by state: Anambrs 185, Imo 135, Kaduna 90, Kwara 110, Ondo 155, Oyo 225. In a pie chart drawn to represent this distribution, The angle subtended at the centre by anambra is
A50o
B65o
C74o
D88o
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Question 13
jamb 1986
An open rectangular box externally measures 4m x 3m x 4m. Find the total cost of painting the box externally if it costs N2.00 to paint one square meter
AN96.00
BN112.00
CN136.00
DN160.00
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Question 14
jamb 1986
If U and V are two distinct fixed points and W is a variable points such that UWV is a right angle, what is the locus of W?
AThe perpendicular bisector of UV
BA circle with UV as radius
CA line parallel to the line UV
DA circle with the line UV as the diameter
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Question 15
jamb 1986
Find the total surface area of solid cone of radius 2\(\sqrt{3}\)cm and slanting side 4\(\sqrt{3}\)
A8\(\sqrt{3}\pi \)cm2
B24\(\pi \)cm2
C15\(\sqrt{3}\pi \)cm2
D36\(\pi \)cm2
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Question 16
jamb 1986

An arc of a circle of radius 6cm is 8cm long. Find the area of the sector

A5\(\frac{1}{3}\)cm2
B24cm2
C36cm2
D84cm2
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Question 17
jamb 1986
A girl walks 45 meters in the direction 050o from a point Q to a point X. She then walks 24 meters in the direction 140o from X to a point Y. How far is she then from Q?
A69m
B57m
C51m
D21m
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Question 18
jamb 1986
A regular polygon of n sides has 160o as the size of each interior angle. Find n
A18
B16
C14
D12
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Question 19
jamb 1986
If cos\(\theta\) = \(\frac{a}{b}\), find 1 + tan2\(\theta\)
A\(\frac{b^2}{a^2}\)
B\(\frac{a^2}{b^2}\)
C\(\frac{a^2 + b^2}{b^2 - a^2}\)
D\(\frac{2a^2 + b^2}{a^2 + b^2}\)
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Question 20
jamb 1986

At what points does the straight line y = 2x + 1 intersect the curve y = \(2x^2\) + 5x - 1?

A(-2, -3) and(\(\frac{1}{2}\), 2)
B(1, 0), (1, 3)
C(4, 0) and (0,1)
D2, 0) and (0,1)
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