Mathematics Past Questions

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Past Questions

2,359 questions
Question 1 of 20 2,359 total questions
Question 1131
jamb 1979

The area under the speed time graph given the total distance covered by car. What is the average velocity to two places of decimals?

A17.72 meter/sec.
B21.67 meters/sec
C2.5 meter/sec.
D20.45 meters/sec.
E13.33 meter/sec.
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Question 1132
jamb 1979
Find x in the diagram below.
A3\(\sqrt{3}\)
B\(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
C\(\frac{(\sqrt{3} - 1)}{\sqrt{3} + 1}\)
D\(\frac{3 - 1}{\sqrt{3} + 1}\)
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Question 1133
jamb 1979

PQ is parallel to RS. Calculate the value of x.

A20o
B40o
C60o
D80o
E100o
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Question 1134
jamb 1979

In the parallelogram PQRS, PE is perpendicular to QR. Find the area of the parallelogram.

A60cm2
B65cm2
C72cm2
D132cm2
E156cm2
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Question 1135
jamb 1979

(Numbers indicate the lengths of the sides of the triangles) If the area of \(\bigtriangleup\) PQR is k2sq. units what is the area of the shades portion?

A\(\frac{5}{9}\)k2 sq. units
B\(\frac{1}{3}\)k2 sq. units
C\(\frac{8}{9}\)k2 sq. units
D\(\frac{7}{9}\)k2 sq. units
E\(\frac{2}{3}\)k2 sq. u
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Question 1136
jamb 1979

In the figure, PQ is parallel to SQ; QS bisects < PSQ, < PQS is 65º, and < RPS is 20º. What is the size of < PRS?

A45o
B35o
C40o
D30o
E42o
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Question 1137
jamb 1979

In the figure, PQ and QR are chords of the circle PQR. QRS is a straight line and PR is equal to RS, < PSR is 20o. What is the size of  

A70o
B90o
C80o
D40o
E60o
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Question 1138
jamb 1979
If O is the centre of the circle, < POS equls
A70o
B75o
C105o
D140o
E150o
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Question 1139
jamb 1979

In this figure, PQRS is a parallelogram, PS = PT and < PST = 55\(^o\). The size of

A125o
B120o
C115o
D110o
E10o
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Question 1140
jamb 1979

In the figure, \(\bigtriangleup\) ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and

A3\(\sqrt{2}\)
B2\(\sqrt{3}\)
C\(\frac{\sqrt{3}}{2}\)
D\(\frac{2}{\sqrt{3}}\)
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Question 1141
jamb 1979
A man is standing in the corridor of a 10-storey building and looking down at a tall tree in front of the building. He sees the top of the tree at angle of depression of 30o. If the tree is 200m tall and the man's eyes are 300m above the ground, calculate the angle of depression of the foot tree as seen by the man
A30o
B60o
C45o
D25o
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Question 1142
jamb 1979

If \(\sqrt{3^{\frac{1}{x}}}\) = \(\sqrt{9}\) then the value of x is:

A\(\frac{3}{4}\)
B\(\frac{4}{3}\)
C\(\frac{1}{3}\)
D\(\frac{2}{3}\)
E\(\frac{1}{2}\)
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Question 1143
jamb 1979
A father is now three times as old as his son. Twelve years ago he was six times as old as his son. How old are the son and the father?
A20 and 45
B100 and 150
C45 and 65
D35 and 75
E20 and 60
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Question 1144
jamb 1979

If y = x\(^2\) - 2x - 3, find the least value of y and the corresponding value of x

Ax = 3, y = 3
Bx = 1, y = -3
Cx = 4, y = 1
Dx = 1, y = -4
Ex = 2, y = -3
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Question 1145
jamb 1979
The following table relates the number of objects f corresponding to a certain size x. What is the average size of an object?
\(\begin{array}{c|c} f & 1 & 2 & 3 & 4 & 5 \\ \hline x & 1 & 2 & 4 & 8 & 16\end{array}\)
A\(\frac{31}{15}\)
B\(\frac{31}{5}\)
C\(\frac{129}{5}\)
D\(\frac{43}{5}\)
E\(\frac{16}{5}\)
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Question 1146
jamb 1979
The size of a quantity first doubles and then increases by a further 16%. After a short time its size decreases by 16%. What is the net increases in size of the quantity?
A\(\frac{59300}{625}\)
B\(\frac{50900}{625}\)
C200%
D+100%
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Question 1147
jamb 1979

What is log\(_7{(49^a)}\) - log\(_{10}^{(0.01)}\)?

A\(\frac{49^a}{100}\)
B\(\frac{a}{2}\) + 2
C72a + 2
D2a + 2
E\(\frac{2a}{2}\)
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Question 1148
jamb 1979
What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?
A\(\sqrt{2239cm}\)
B\(\sqrt{2}\) x 2239cm
C\(\frac{\sqrt{3}}{2}\) 2239cm
D\(\sqrt{3}\) x 2239cm
E4478cm
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Question 1149
jamb 1979

An arc of circle of radius 2cm subtends an angle of 60º at the centre. Find the area of the sector

A\(\frac{2 \pi}{3}\)cm2
B\(\frac{\pi}{2}\)cm2
C\(\frac{\pi}{3}\)cm2
D\(\pi\)cm2
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Question 1150
jamb 1979
A cylinder of height h and radius r is open at one end. Its surface area is
A2\(\pi\)rh
B\(\pi\)r2h
C2\(\pi\)rh + \(\pi\)r2
D2\(\pi\)rh + 2\(\pi\)r2
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