Mathematics Past Questions

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Past Questions

2,359 questions
Question 1 of 20 2,359 total questions
Question 1071
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 1072
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 1073
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 1074
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 1075
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 1076
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 1077
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 1078
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 1079
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 1080
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 1081
jamb 1982

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

A8
B40
C7
D24
E32
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Question 1082
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 1083
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 1084
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 1085
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 1086
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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Question 1087
jamb 1982

Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms

A2x(1 + y) = 3
B2x - x(1 + y) = 8
Cx2 = 8(1 + y)x
Dx2 - x(1 + y) = 8
Ex2 - (1 + y)2 = 8
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Question 1088
jamb 1982

The graphical method of solving the equation x3 + 3x2 + 4x - 28 = 0 is by drawing the graphs of the curves

Ay = x3 and y = 3x2 + x - 28
By = x3 + 3x2 + 4x + 4 and the line y = \(\frac{28}{x}\)
Cy = x3 + 3x2 + 4x and y
Dy = x2 + 3x + 4 and y = \(\frac{28}{x}\)
Ey = x2 + 3x + 4 and line y = 28x
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Question 1089
jamb 1982

The solution of the quadratic equation bx\(^2\) + cx + a = 0 is given by

Ax = b \(\pm\) \(\frac{\sqrt{b^2 - 4ac}}{2a}\)
Bx = c \(\pm\) \(\frac{\sqrt{b^2 - 4ab}}{2b}\)
Cx = -c \(\pm\) \(\frac{\sqrt{c^2 - 4ab}}{2b}\)
Dx = -b \(\pm\) \(\frac{\sqrt{b^2 - 4ac}}{2b}\)
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Question 1090
jamb 1982

The factors of 6x - 5 - x2 are

A-(x + 3)(x + 2)
B(x + 5)(x + 1)
C(x - 5)(1 - x)
D(x + 1)(x + 5)
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