Mathematics Past Questions

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2,359 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
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Past Questions

2,359 questions
Question 1 of 20 2,359 total questions
Question 1111
jamb 1980

If PN is perpendicular to QR, find the value of tan x.

A\(\frac{5}{9}\)
B\(\frac{3}{5}\)
C\(\frac{3}{4}\)
D\(\frac{4}{3}\)
E\(\frac{5}{3}\)
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Question 1112
jamb 1980

Write the decimal number 39 to base 2

A100111 base 2
B110111 base 2
C111001 base 2
D100101 base 2
E19.5 base 2
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Question 1113
jamb 1980
If x varies inversely as y, and y varies directly as the square root of z, and z varies directly \(\frac{1}{w^2}\) write down in words how x varies with w
Ax varies inversely as w2
Bx varies directly as w2
Cx varies directly as w
Dx varies inversely as w
Ex varies directly as square root of w
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Question 1114
jamb 1980
A cylindrical motor of height 12cm has uniform thickness of 2cm. If the diameter of its outer cross section is 10cm, Find the volume of the constituent material. (take \(\pi\) = \(\frac{22}{7}\)
A\(\frac{6600}{7}\)cm3
B270cm3
C660cm3
D\(\frac{4224}{7}\)cm3
E\(\frac{1980}{7}\)cm3
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Question 1115
jamb 1980

If a function is defined by f(x + 1) = 3x2 - x + 4, Find f(0).

A4
B6
C9
D8
E2
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Question 1116
jamb 1980

The expression x\(^3\) - 4x\(^2\) + cx + d is such that x + 1 is its factor, and its value is 1 when x is -2. Find c and d.

Ac = 4 and d = -9
Bc = -4 and d = 9
Cc = -20 and d = -15
Dc = 20 and d = -15
Ec = -20 and d = 15
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Question 1117
jamb 1980

Find the missing numerator \(\frac{5}{x + 1}\) - \(\frac{3}{1 - x}\) - \(\frac{7x - 1}{x^2 - 1}\) = \(\frac{?}{x + 1}\).

A-1
Bx - 1
C\(\frac{3(1 - 5x)}{x + 1}\)
D1
E3(1 - 5x)
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Question 1118
jamb 1980
Simplify 102 + log105
A500
B2 log10 5
C10
D25
Elog105 x 10100
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Question 1119
jamb 1980
Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables.
A1.03
B2.31
C3.69
D10.5
E25
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Question 1120
jamb 1980
Solve the equation for the positive values of \(\theta\) less than 360o. 3 tan \(\theta\) + 2 = -1
A135o or 315o
B45o or 135o
C315o or 180o
D315v + 45o
E360o or 315o
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Question 1121
jamb 1980
Find the area of the curved surface of a cone whose base radius is 6cm and whose height is 8cm. (take \(\pi\) = \(\frac{22}{7}\))
A188.57cm2
B1320cm2
C188cm2
D188.08cm2
E10cm2
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Question 1122
jamb 1980
Simplify the given expression \(\sqrt{\frac{1 - cos x}{1 + cos x}}\)
A\(\frac{1 - cos x}{sin x}\)
B1 - cos x
Csin x
D1 + cos x
E\(\frac{1 + cos x}{sin x}\)
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Question 1123
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 1124
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 1125
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 1126
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 1127
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 1128
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 1129
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 1130
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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