Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 2141
jamb 1980

Solve the system of equation 2\(^{x + y}\) = 32, \(3^{3y - x}\)  = 27

A(3, 2)
B(-3, 2)
C(3, -2)
D(-3, -2)
E(2, 2)
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Question 2142
jamb 1980

If it is given that \(5^{x + 1} + 5^x = 150\), then the value of x is equal to

A3
B4
C1
D2
E\(\frac{1}{2}\)
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Question 2143
jamb 1980

Find the solution of the equation x + 2\(\sqrt{x} - 8\) = 0

A(4, 16)
B(2, 4)
C(4, 1)
D(1, 16)
E(16, 16)
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Question 2144
jamb 1980
What will be the value of k so that the quadratic equation kx2 - 4x + 1 = 0 has two equal roots?
A2
B3
C4
D8
E\(\frac{1}{4}\)
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Question 2145
jamb 1980

(\(\frac{x^a}{x^b}\))a + b = (\(\frac{x^{a + b}}{x^{a - b}}\))\(\frac{a^2}{b}\)

Ax-a2
Bxb2
Cxa2 - b2
D\(\frac{1}{x^{a2 + b2}}\)
Exb2 - a2
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Question 2146
jamb 1980

Find the product of (2\(\sqrt{y} - 3y\)) and (3y + 2\(\sqrt{y}\))

A4y = y2
B4y + 9y2
C4y - 9y2
D-4y - 9y2
E2y + y2
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Question 2147
jamb 1980
A pentagon has four of its angles equal. If the size of the fifth angle is 60o, Find the size of each of the four equal angles.
A60o
B108o
C120o
D150o
ENone of the above
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Question 2148
jamb 1980

In triangle FGH, < G = 90º, < H = 60º, while in triangle XYZ, < X = 60º and < Y = 30º. Form XYZ write down the ratio equal to \(\frac{FG}{FH}\)

A\(\frac{YX}{ZX}\)
B\(\frac{YX}{YZ}\)
C\(\frac{ZX}{YZ}\)
D\(\frac{YZ}{XY}\)
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Question 2149
jamb 1980
A set of data contains a total of 130 items which are divided into six groups for display on a pie chart. If one group contains 26 items, then the sector representing this group on the pie chart contains an angle xo at the centre of the circle where x is
A36o
B60o
C70o
D72o
E75o
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Question 2150
jamb 1980
In a school, there are 35 students in class 2A and 40 in class 2B. The mean score for class 2 in an English Literature examination is 60.0 and that for 2B in the same paper is 52.5. Find, to one place of decimal, the mean for the combined classes
A2.5
B56.0
C56.2
D56.3
E6.5
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Question 2151
jamb 1980

Three numbers, x, y and z are connected by the relationships y = \(\frac{4x}{9}\) + 1. If x = 99, Find z = \(\frac{4y}{9}\) + 1

A6\(\frac{1}{3}\)
B20
C21
D176\(\frac{4}{9}\)
ENone of the above
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Question 2152
jamb 1980
Which of the formula below represents the general terms of the following set of numbers(-1, \(\frac{2}{3}\), -\(\frac{1}{2}\), \(\frac{2}{5}\)......) for n = 1, 2, 3, 4.......?
A\(\frac{2}{n + 1}\)
B(-1)n + 1 \(\frac{2}{n + 1}\)
C(-1)n \(\frac{2}{n + 1}\)
D\(\frac{n}{2n - 1}\)
E(-1)n\(\frac{n}{2n - 1}\)
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Question 2153
jamb 1980
What factor is common to all the expressions x2 - x, 2x2 + x - 1 and x2 - 1?
Ax
Bx + 1
Cx - 1
DNo common factor
E(2x - 1)
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Question 2154
jamb 1980

Make c the subject of formula v = 1 - \(\frac{a}{5}\)(b + \(\frac{3c}{7}\))

A[\(\frac{7}{3}\) + \(\frac{5}{a}\)(v - 1)] + b
B[\(\frac{7b}{3}\) + \(\frac{5}{a}\)(v - 1)]
C\(\frac{-7}{3}\)[b + \(\frac{5}{a}\)(v - 1)]
D\(\frac{7}{3}\)[b + \(\frac{5v - 1}{a}\)]
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Question 2155
jamb 1980
Simplify \(\frac{log_{10}8}{log_{10}4}\)
Alog102
Blog104
C\(\frac{3}{2}\)
D2
ENone of the above
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Question 2156
jamb 1980

A man and his wife went to buy an article costing N400. The woman had 10% of the cost and the man 40% of the remainder. How much did they have altogether?

AN216
BN200
CN184
DN144
EN100
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Question 2157
jamb 1980

P and Q are fixed points, and X is a variable point which moves so that angle PXQ = 45º. What is the locus of x?

AA pair of straight lines parallel to PQ
BThe perpendicular bisector of PQ
CAn arc of a circle passing through P and Q
DA circle with diameter PQ
EThe bisector of angle PXQ
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Question 2158
jamb 1980

The ratio of the areas of similar triangles is necessarily equal to

Athe ratio of the corresponding sides
Bthe ratio of the squares of corresponding sides
Cthe ratio of the corresponding heights of the triangles
Dhalf the ratio of the corresponding heights of the triangles
Ethe ratio of the corresponding bases to the heights of the triangles
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Question 2159
jamb 1980

A solid cylinder of radius 3cm has a total surface area of 36\(\pi\)cm2. Find its height

A2cm
B3cm
C4cm
D5cm
E6cm
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Question 2160
jamb 1980
Find the roots of the equation 10x2 - 13x - 3 = 0
Ax = \(\frac{3}{5}\) or -\(\frac{1}{2}\)
Bx = \(\frac{3}{10}\) or -1
Cx = \(\frac{3}{10}\) or 1
Dx = \(\frac{1}{5}\) or \(\frac{-3}{2}\)
Ex = -\(\frac{1}{5}\) or \(\frac{3}{2}\)
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