Mathematics Past Questions

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Past Questions

48 questions
Question 1 of 20 48 total questions
Question 11
jamb 1982

In a regular polygon of n sides, each interior angle is 144o. Find n

A12
B11
C10
D8
E6F
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Question 12
jamb 1982
The diameter of a metal rod is measured as 23.40 cm to four significant figures. What is the maximum error in the measurement?
A0.05cm
B0.5cm
C0.045cm
D0.005cm
E0.004cm
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Question 13
jamb 1982

A world congress of mathematicians were held in Nice in 1970 with 800 people participating. There were 300 from Europe, 200 from America, 150 from Asia, 45 from Africa and 105 from Australia. Representing the above on a pie chart, the angle of the sector representing the participants from Asia is?

A150o
B67\(\frac{1}{2}\)o
C67o
D135o
E68o
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Question 14
jamb 1982
If \(\frac{3e + f}{3f - e}\) = \(\frac{2}{5}\), find the value of \(\frac{e + 3f}{f - 3e}\)
A\(\frac{5}{2}\)
B1
C\(\frac{26}{7}\)
D\(\frac{1}{3}\)
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Question 15
jamb 1982

The quantity y is partly constant and partly varies inversely as the square of x. With P and Q as constants, a possible relationship between x and y is

Ay = Q + \(\frac{P}{x^2}\)
By = Q + px
Cy = \(\frac{PQ}{x^2}\)
Dy = Q - \(\frac{P}{x^2}\)
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Question 16
jamb 1982

Express 130 kilometers per second in meters per hour

A7.8 x 10-5
B4.68 x 106
C7,800,000
D4.68 x 108
E7.80 x 105
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Question 17
jamb 1982
A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60o to the vertical?
AIt does not rise
B2\(\sqrt{3}\) meters
C3 meters
D1 meters
E3
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Question 18
jamb 1982

Find the values of x for which the expression \(\frac{(x - 3)(x - 2)}{x^2 + x - 2}\) is undefined? 

A1, -2
B-1, 2
C2, 3
D-1. -2
E-2, -3
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Question 19
jamb 1982
Express 37.05 x 0.0042 in standard form
A15.561 x 102
B1.5561 x 10-4
C1.556 x 10-1
D1.5561 x 101
E1.55 x 101
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Question 20
jamb 1982

Solve for x, If \(\frac{\frac{2}{x}}{\frac{1}{p^2} + \frac{1}{q^2}}\) = m

A\(\frac{4pq}{m(p + q)}\)
B\(\frac{2p^2q^2}{m(q^2 + p^2)}\)
C\(\frac{2pq}{m(q^2 + p^2)}\)
D\(\frac{2p^2q^2}{m(p^2)}\)
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Question 21
jamb 1982

The currency used in a country is called 'Matimalik'(M) and is of base seven. A lady in that country bought 4 bags of rice at M56 per bag and and 3 tins of milk at M4 per tin. What is the total cost of the item she bought?

AM2467
BM2427
CM2367
DM3417
EM3387
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Question 22
jamb 1982

If sin \(\theta\) = \(\frac{m - n}{m + n}\); Find the value of 1 + tan2\(\theta\)

A\(\frac{(m^2 + n^2)}{m + n}\)
B\(\frac{(m^2 + n^2 + 2mn)}{4mn}\)
C\(\frac{2(m^2 + n^2 + mn)}{m + n}\)
D\(\frac{(m^2 + n^2 + mn)}{m + n}\)
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Question 23
jamb 1982

Given that p:q = \(\frac{1}{3}\):\(\frac{1}{2}\) and q:r = \(\frac{2}{5}\):  \(\frac{4}{7}\) find p:r

A4:105
B7:15
C20:21
D2:35
E3:20
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Question 24
jamb 1982
A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector.
A42cm2
B3cm2
C21cm2
D24cm2
E12cm2
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Question 25
jamb 1982

If f(x - 2) = 3\(x^2\) + 4x + 1. Find (1).

A8
B40
C7
D24
E32
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Question 26
jamb 1982

Find the median of the set set of numbers 110, 116, 113, 119, 118, 127, 118, 117, 113

A117.5
B118
C117
D116
E113
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Question 27
jamb 1982

A man bought wrist watch for N150 but was only able to sell it for N120. Find the loss per cent on the transaction

A25%
B11%
C20%
D80%
E30%
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Question 28
jamb 1982

What is the least possible value of \(\frac{9}{1 + 2x^2}\) if 0 \(\geq\) x \(\geq\) 2?

A9
B5
C1
D2
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Question 29
jamb 1982

Which of the following lines is not parallel to the line 3y + 2x + 7 = 0?

A3y + 2x - 7 = 0
B9y + 6x + 17 = 0
C24y + 16x + 19 = 0
D3y - 2x + 7 = 0
E15y + 10x - 13 = 0
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Question 30
jamb 1982

Find \(\alpha\) and \(\beta\) such that x\(\frac{3}{8}\) x y\(\frac{-6}{7}\) x (\(\frac{y^{\frac{9}{7}}}{x^{\frac{45}{8}}}\))\(\frac{1}{9}\) = \(\frac{x^{\alpha}}{y^{\beta}}\)

A\(\alpha\) = 1, \(\beta\) = \(\frac{5}{7}\)
B\(\alpha\)= 1, \(\beta\) = -\(\frac{5}{7}\)
C\(\alpha\)= \(\frac{3}{5}\), \(\beta\) = -6
D\(\alpha\)= 1, \(\beta\) = -\(\frac{3}{5}\)
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