Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 2171
jamb 1979

Simplify 2\(\frac{5}{12}\) - 1\(\frac{7}{8}\) x \(\frac{6}{5}\)

A\(\frac{1}{6}\)
B\(\frac{13}{20}\)
C\(\frac{11}{30}\)
D\(\frac{9}{4}\)
E\(\frac{5}{3}\)
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Question 2172
jamb 1979
A ladder resting on a vertical wall makes an angles whose tangent is 2.4 with the ground. If the distance between the foot of the ladder and the wall is 50cm, What is the length of the ladder?
A1m
B1.1m
C1.2m
D0.9m
E1.3m
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Question 2173
jamb 1979
Simplify \(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x - y}\)
A\(\frac{x^2 + y^2} {(x - y)^2}\)
B\(\frac{2y^3} {y^2 - x^2}\)
C\(\frac{3x^2 + y^2} {(2x - y)^2}\)
D\(\frac{x^2 + y^2} {(x^2 - y)}\)
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Question 2174
jamb 1979

A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?

A\(\frac{44}{3}\)\(\pi\)cm3
B12\(\pi\)cm3
C\(\frac{38}{3}\)\(\pi\)cm3
D\(\frac{40}{3}\)\(\pi\)cm3
E\(\frac{32}{33}\)\(\pi\)cm3
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Question 2175
jamb 1979

Simplify \(\frac{5^x \times 25^{x - 1}}{125^{x + 1}}\)

A52x + 1
B5x + 1
C5-5
D52
E53
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Question 2176
jamb 1979

Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)

A\(\frac{12+ 4\sqrt{5 + 7} 5 + 6\sqrt{3}}{39}\)
B\(\frac{-(24 + 18\sqrt{6} + 8\sqrt{5} + 6\sqrt{30})}{38}\)
C\(\frac{24 + 3\sqrt{6 + 8} 5 + 6\sqrt{30}}{19}\)
D\(\frac{-15 + 3\sqrt{5 + 18} 5 + 6\sqrt{30}}{36}\)
E\(\frac{-(12 + 4\sqrt{5} +9\sqrt{6} + 3\sqrt{30})}{19}\)
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Question 2177
jamb 1979

A square of cardboard is taped at the perimeter by a piece of ribbon 20cm long. What is the area of the board?

A20sq.cm
B100sq.cm
C25sq.cm
D16sq.cm
E36sq.cm
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Question 2178
jamb 1979
Multiply (3x + 5y + 4z) by (2x - 3y + z)
A6x2 + xy - 15y2 + 4z2 + 11xz - 7yz
B6x2 + 3xy - 15y2 + 4z2
C6x2 + 3xy - y2 + 4z2
D6x2 + 3xy - 15y + z2
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Question 2179
jamb 1979
A trader goes to Ghana for y days with y cedis. For the first x days, he spends X cedis per day. The amount he has to spend per day for the rest of his stay is
A\(\frac{y(y - x)}{y - x}\) cedis
B\(\frac{Yy - Xx)}{y - x}\) cedis
C\(\frac{Y - Xy)}{y - x}\) cedis
D\(\frac{Y - X}{y - x}\) cedis
E\(\frac{Y - Xx}{y - x}\) cedis
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Question 2180
jamb 1979
The solution of the equation x2 - 2x = 8 is
Ax = 0 or 2
Bx = -2 or 4
Cx = 2
Dx = -4
Ex = 2 or 4
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Question 2181
jamb 1979
x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?
A\(\frac{5}{6}\)
B11
C3\(\frac{3}{5}\)
D2\(\frac{1}{2}\)
E1\(\frac{1}{5}\)
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Question 2182
jamb 1979
The annul profits of a transport business were divided between the partners A and B in the ratio 3 : 5. If B received N3000 more than A, the total profit was
AN5000
BN1800
CN12000
DN24000
EN8000
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Question 2183
jamb 1979

In base ten, the number 101101 (base 2) equals

A15
B4
C45
D32
E90
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Question 2184
jamb 1979

After getting a rise of 15%, a man's new monthly salary is N345. How much per month did he earn before the increase?

AN330
BN396.75
CN300
DN293.25
EN360
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Question 2185
jamb 1979
In \(\bigtriangleup\)PQR, PQ = 10cm, QR = 8cm and RP = 6cm, the perpendicular RS is drawn from R to PQ. Find the length of RS
A4cm
B32cm
C\(\frac{30}{7}\)
D\(\frac{40}{7}\)
E4.8cm
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Question 2186
jamb 1979
(3.2)2 - (1.8)2 equals
A7.0
B2.56
C13.48
D2.0
E0.07
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Question 2187
jamb 1979

If the value of \(\pi\) is taken to be \(\frac{22}{7}\), the area of a semi-circle of diameter 42m is

A5544m2
B1386m2
C132m2
D264m2
E693m2
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Question 2188
jamb 1979

\((1.28 \times 10^{4}) \div (6.4 \times 10^{2})\) equals

A2 x 10-5
B2 x 10-1
C2 x 101
D2 x 10-4
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Question 2189
jamb 1979
The mean of the numbers 1.2, 1.0, 0.9, 1.4, 0.8, 0.8, 1.2 and 1.1 is
A1.5
B0.8
C1.0
D1.02
E1.05
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Question 2190
jamb 1978

In the figure, 0 is the centre of the circle ABC, < CED = 30o, < EDA = 40o. What is the size of < ABC?

A70o
B110o
C130o
D125o
E145o
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