Mathematics Past Questions

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Past Questions

2,359 questions
Question 1 of 20 2,359 total questions
Question 1101
jamb 1981

Marks scored by some children in an arithmetic test are:5, 3, 6, 9, 4, 7, 8, 6, 2, 7, 8, 4, 5, 2, 1, 0, 6, 9, 0, 8.
The arithmetic mean of the marks is

A6
B5
C8
D7
E10
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Question 1102
jamb 1981

What is the area between two concentric circles of diameters 26cm and 20cm?

A100\(\pi\)
B169\(\pi\)
C69\(\pi\)
D9\(\pi\)
E269\(\pi\)
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Question 1103
jamb 1981

Evaluate correct to 4 decimal places 827.51 x 0.015

A8.8415
B12.4127
C124.1265
D12.4120
E114.1265
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Question 1104
jamb 1981

A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?

A9cm
B\(\sqrt{65}\)cm
C\(4\sqrt{2}\)cm
D7cm
E6.5cm
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Question 1105
jamb 1981

Which of the following fractions is less than one-third?

A\(\frac{22}{63}\)
B\(\frac{4}{11}\)
C\(\frac{15}{46}\)
D\(\frac{33}{98}\)
E\(\frac{122}{303}\)
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Question 1106
jamb 1981

A group of 14 children children received the following scores in a reading test: 35, 35, 26, 26, 26, 29, 29, 29, 12, 25, 25, 25, 25, 17. What was the median score?

A29
B26
C24
D25
E23
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Question 1107
jamb 1981

Find the value of x satisfying \(\frac{x}{2}\) - \(\frac{1}{3}\) < \(\frac{2x}{5}\) + \(\frac{1}{6}\)

Ax < 5
Bx < 7\(\frac{1}{2}\)
Cx > 5
Dx > 7\(\frac{1}{2}\)
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Question 1108
jamb 1981

Find a two-digit number such that three times the tens digit is 2 less than twice the units digit and twice the number is 20 greater than the number obtained by reversing the digits

A24
B42
C74
D47
E72
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Question 1109
jamb 1981

The ratio of the price of a loaf of bread to the price of a packet of sugar in 1975 was r : t. In 1980, the price of a loaf went up by 25% and that of a packet of sugar went up by 10%. Their new ratio is now

A40r:50t
B44r : 50t
C50r : 44t
D44r:55t
E55r:44t
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Question 1110
jamb 1981

If sine x equals cosine x, what is x in radians?

A\(\frac{\pi}{2}\)
B\(\frac{\pi}{3}\)
C\(\frac{\pi}{4}\)
D\(\frac{\pi}{6}\)
E\(\frac{\pi}{12}\)
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Question 1111
jamb 1981

Suppose x varies inversely as y, y varies directly as the square of t and x = 1, when t = 3. Find x when t = \(\frac{1}{3}\).

A81
B27
C\(\frac{1}{9}\)
D\(\frac{1}{27}\)
E\(\frac{1}{81}\)
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Question 1112
jamb 1980
Find the area of the shades segments in the figure
A\(\sqrt{3}
B4 \(\pi - \sqrt{3}\)
C-\(\frac{2}{3} \pi\)
D\(\frac{2\pi}{3}\) -3
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Question 1113
jamb 1980

If Sin \(\theta\) = \(\frac{\sqrt{3}}{2}\) and \(\theta\) is less than 90º, calculate \(\frac{tan(90 - \theta)}{cos^2\theta}\)

A\(\frac{1}{2}\)
B\(\frac{4}{\sqrt{3}}\)
C\(\sqrt{3}\)
D4\(\sqrt{3}\)
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Question 1114
jamb 1980

In the figure, PS = SR, and Rx is a tangent to the circle at R. < QRX is equal to 72º.  Find angle SPR

A20o
B36o
C72o
D30o
E15o
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Question 1115
jamb 1980
The angles marked in the figure are measured in degrees. Find x.
A45o
B90o
C60o
D15o
E30o
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Question 1116
jamb 1980
In the figure, FGHJ is a circle of radius 3cm centre O. FOH, GOJ are perpendicular diameters. With G as centre of an arc of a circle is drawn to pass through F and H. Find the length of the perimeter of the lunar portion shaded.
A3\(\pi\)\(\sqrt{2 - 1}\)cm
B\(\frac{9}{2}\)\(\pi\)cm
C3 \(\pi\)(1 + \(\frac{2}{2}\))
D3(1 + \(\frac{2}{2}\))
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Question 1117
jamb 1980
fG is a given straight line and H is a fixed point. The construction marks shown in the diagram indicate the
Aperpendicular bisector of the line
Bperpendicular bisector of th eline JK
Cperpendicular bisector of the line HI
Dperpendicular from H to the line FG
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Question 1118
jamb 1980
In the figure, PS bisects angle QPR. Find the ratio SR:QR.
A1:2
B1:3
C1:4
D1:5
E1:6
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Question 1119
jamb 1980

In the figure, If PT is parallel to RS, PQ = PT, and angle SQT = 90o, Find x

A35o
B50o
C55o
D70o
E80o
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Question 1120
jamb 1980
In the figure, PQ\\SR, ST\\, ST\\RQ, PS = 7cm, PT = 7cm, SR = 4cm. Find the ratio of the area QRST to the area of PQRS.
A56.77
B56.105
C28:105
D28:49
E56:49
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