Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 2101
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 2102
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 2103
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 2104
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 2105
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 2106
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 2107
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 2108
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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Question 2109
jamb 1982

Seven years ago, the age of a father was three times that of his son, but in six years time the age of the son will be half that of his father, representing the present ages of the father and son by x and y, respectively, the two equations relating x and y are

A3y - x = 0; 2y - x = 0
B3y - x = 14; x - 2y = 6
C3y - x =7; x - 2y = 6
D3y - x = 14; y - 2x = 6
Ex + 3y = 7; x = 2y = 12
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Question 2110
jamb 1982

If N560.70 is shared in the ratio 7 : 2 : 1, what is the smallest share?

AN392.49
BN56.70
CN113.40
DN112.14
EN56.07
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Question 2111
jamb 1982

Simplify 3 - 2 \(\div\) \(\frac{4}{5}\) + \(\frac{1}{2}\)

A1\(\frac{3}{4}\)
B-1
C1\(\frac{3}{10}\)
D1
E1\(\frac{9}{10}\)
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Question 2112
jamb 1982

Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)

A\(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)
B\(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)
C\(\sqrt{2} - \sqrt{5}\)
D5(\(\sqrt{2} - \sqrt{5}\)
E\(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)
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Question 2113
jamb 1981

In the figure, WU//YZ, WY//VU = 12cm, VZ = 6cm, XU = 8cm. Determine the length of WU.

A1cm
B6cm
C2cm
D4cm
E3cm
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Question 2114
jamb 1981

In the diagram, XZ is the diameter of a circle's radius \(\frac{5}{2}\). If XY is 4cm, then the area of the triangle XYZ is

A12cm2
B28\(\frac{1}{2}\)cm2
C16cm2
D10cm2
E6cm2
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Question 2115
jamb 1981

In the figure, find x in terms of a, b and c.

Aa + b + c
B180o - (a + b + c)
Ca - b - c
Da + b
Ea + c
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Question 2116
jamb 1981

In the figure, find the area of XYZW

A60cm2
B54cm2
C27cm2
D54\(\sqrt{2}\)cm2
E27\(\sqrt{2}\)cm2
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Question 2117
jamb 1981

In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40o and YTW = 30o. What is YXW?

A50o
B75o
C35o
D115o
E30o
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Question 2118
jamb 1981

What is the length of an arc of a circle that subtends 2\(\frac{1}{2}\) radians at the centre when the radius of the circle is 8cm?

A8cm
B10cm
C40cm
D20cm
E16cm
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Question 2119
jamb 1981

Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)

A27
B9
C\(\frac{1}{27}\)
D18
E81
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Question 2120
jamb 1981

The sum of the root of a quadratic equation is \(\frac{5}{2}\) and the product of its root is 4. The quadratic equation is

Ax + 8x2 - 5 = 0
B2x2 - 5x + 8 = 0
C2x2 - 8x + 5 = 0
Dx2 + 8x - 5 = 0
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