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 1991

Find the volume of the figure

A\(\frac{a \pi^2}{3} (x + 3y) \)
Ba\(\pi ^2\)y
C\(\frac{a \pi ^2}{3}\)(y + x)
D(\(\frac{1}{3} a \pi ^2 x + y\))
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Question 2
jamb 1991

In the figure, PQRS is a square of sides 8cm. What is the area of \(\bigtriangleup\)UVW?

A64 sq. cm
B40 sq.cm
C50 sq.cm
D10 sq.cm
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Question 3
jamb 1991
In this figure, PQ = PR = PS and SRT = 68o. Find QPS
A136o
B124o
C12o
D68o
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Question 4
jamb 1991
In the figure above, find the value of y
A28o
B122o
C150o
D152o
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Question 5
jamb 1991
PMN and PQR are two secants of the circle MQTRN and PT is a tangent. If PNR = 110o and PMQ = 55o, find MPQ
A40o
B30o
C25o
D15o
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Question 6
jamb 1991
PMN and PQR are two secants of the circle MQTRN and PT is a tangent. If PM = 5cm, PN = 12cm and PQ = 4.8cm, calculate the respective lengths of PR and PT in centimeters
A7.3, 5.9
B7.7, 12.5
C12.5, 7.7
D5.9, 7.3
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Question 7
jamb 1991

In the figure above, Find the value of x

A130o
B110o
C100o
D90o
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Question 8
jamb 1991

A crate of soft drinks contains 10 bottles of Coca-cola, 8 of Fanta and 6 of sprite. If one bottle is selected at random, what is the probability that it is NOT a Cocacola bottle?

A\(\frac{5}{12}\)
B\(\frac{1}{3}\)
C\(\frac{3}{4}\)
D\(\frac{7}{12}\)
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Question 9
jamb 1991
No. defective per box 4 5 6 7 8 9
No. of boxes 2 7 17 10 8 6

Find the percentage of boxes containing at least 5 defective bolts each

A96
B94
C92
D90
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Question 10
jamb 1991

Fifty boxes each of 50 bolts, were inspected for the number which were defective. The following was the result

No of defective per box 4 5 6 7 8 9
No. of boxes 2 7 17 10 8 6


The mean and the median of the distribution are, respectively

A6.7, 6
B7.6, 5
C5.7, 87
D34, 6
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Question 11
jamb 1991

3% of a family's income is spent on electricity, 59% on food, 20% on transport, 11% on education and 7% on extended family. The angles subtended at the centre of the pie chart under education and food are respectively

A76.8o and 25.2o
B10.8o and 224.6o
C112.4o and 72.0o
D39.6o and 212.4o
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Question 12
jamb 1991

Find the total area of the surface of a solid cylinder whose base radius is 4cm and height is 5cm

A56\(\pi\) cm2
B72\(\pi\) cm2
C96\(\pi\) cm2
D192\(\pi\) cm2
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Question 13
jamb 1991
From a point Z, 60 m north of X, a man walks 60√3m eastwards to another point Y. Find the bearing of Y from X.
A0.30o
B045o
C060o
D090o
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Question 14
jamb 1991

If cos x = \(\sqrt{\frac{a}{b}}\) find cosec x

A\(\frac{b}{\sqrt{b - a}}\)
B\(\sqrt{\frac{b}{a}}\)
C\(\sqrt{\frac{b}{b - a}}\)
D\(\sqrt{\frac{b - a}{a}}\)
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Question 15
jamb 1991

Simplify \(\cos^{2} x (\sec^{2} x + \sec^{2} x \tan^{2} x)\)

Atan x
Btanx secx
C\(\sec^2 x\)
Dcosec2x
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Question 16
jamb 1991
A flagstaff stands on the top of a vertical tower. A man standing 60 m away from the tower observes that the angles of elevation of the top and bottom of the flagstaff are 64o and 62o respectively. Find the length of the flagstaff.
A60 (tan 62o - tan 64o)
B60 (cot 64o - cot 62o)
C60 (cot 62o - cot 64o)
D60 (tan 64o - tan 62o)
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Question 17
jamb 1991

If the exterior angles of a pentagon are x°, (x + 5)°, (x + 10)°, (x + 15)° and (x + 20)°, find x

A118o
B72o
C62o
D36o
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Question 18
jamb 1991
One angle of a rhombus is 60o. The shorter of the two diagonals is 8cm long. Find the length of the longer one.
A8\(\sqrt{3}\)
B\(\frac{16}{\sqrt{3}}\)
C\(\sqrt{3}\)
D\(\frac{10}{\sqrt{3}}\)
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Question 19
jamb 1991
The area of a square is 144 sq cm. Find the length of its diagonal
A11\(\sqrt{3cm}\)
B12cm
C12\(\sqrt{2cm}\)
D13cm
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Question 20
jamb 1991

Find the sum of the first 20 terms in an arithmetic progression whose first term is 7 and last term is 117.

A2480
B1240
C620
D124
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