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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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2,359 questions

Question 1 of 20 2,359 total questions

Question 1161

jamb 1978

Simplify \(\frac{(a - \frac{1}{a}) (a^{\frac{4}{3}} + \frac{1}{a^{\frac{2}{3}}})}{a^2 - (\frac{1}{a})^2}\)

Aa^{\(\frac{2}{3}\)}

Ba^{-\(\frac{1}{3}\)}

C\(a^{2}\) + 1

Ea^{\(\frac{1}{3}\)}

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Question 1162

jamb 1978

Without using tables, simplify \(\frac{1n \sqrt{216} - 1n \sqrt{125} - 1n\sqrt{8}}{2(1n3 - 1n5)}\)

A-3

C\(\frac{3}{5}\)

D\(\frac{-3}{2}\)

E1n 6 - 2 1n 5

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Question 1163

jamb 1978

The locus of all points having a distance of 1 unit from each of the two fixed points a and b is

Aa line parallel to the line ab

Ba line perpendicular to the line ab through the mid-point of ab

Ca circle through a and b with centre at the mid-point of ab

Da circle with centre at a and passes through b

Ea circle in a plane perpendicular to ab and centre at the mid-point of the line ab

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Question 1164

jamb 1978

Assuming loge 4.4 = 1.4816 and loge 7.7 = 2.0142, then the value of loge \(\frac{7}{4}\) is

A0.5326

B3.4958

C0.4816

D0.0142

E1.3594

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Question 1165

jamb 1978

If (25)\(^{x - 1}\) = 64(\(\frac{5}{2}\))\(^6\), then x has the value

C32

D64

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Question 1166

jamb 1978

Two triangles have the same areas if

Atwo sides in one triangle are equal to two sides in the other

Bthree sides in one triangle are equal to three sides in the other

Ctwo angles in the triangle are equal to two angles in the other

Dthree angles in one triangle are equal to three angles in the other

Eone side and the opposite angle in one triangle are equal to one side and the opposite angle in the other

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Question 1167

jamb 1978

The quantity (x + y) is a factor of

Ax² + y²

Bx³ - y³

C2x² - 3xy + y² - x + 1

D2x³ + 2x²y - xy + 3x - y² + 3y

Ex⁵ - y⁵

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Question 1168

jamb 1978

A solid sphere of radius 3cm, a solid right cone of radius 3cm and height 12cm and a solid right circular cycular of radius 3cm and height 4cm.Which of the following statements is true?

Athe volume of the sphere is greater than the volume of the cone

Bthe volume of the cone is less than the volume of the cylinder

Cthe total surface area of the cone is greater than that of the sphere

DThe total surface area of the cylinder is less than that of the sphere

Ethe total sufeac area of the cone is equal to that of the cylinder

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Question 1169

jamb 1978

The set of value of x and y which satisfies the equations x² - y - 1 = 0 and y - 2x + 2 = 0 is

A1, 0

B1, 1

C2, 2

D0, 2

E1, 2

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Question 1170

jamb 1978

If sec\(^2\) \(\theta\) + tan\(^2\) \(\theta\) = 3, then the angle \(\theta\) is equal to

A30^o

B45^o

C60^o

D90^o

E105^o

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Question 1171

jamb 1978

In a soccer competition in one season, a club had scored the following goals: 2, 0, 3, 3, 2, 1, 4, 0, 0, 5, 1, 0, 2, 2, 1, 3, 1, 4, 1 and 1. The mean, median and mode are respectively

A1, 1.8 and 1.5

B1.8, 1.5 and 1

C1.8, 1 and 1.5

D1.51, 1 and 1.8

E1.5, 1.8 and 1

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Question 1172

jamb 1978

A pyramid is constructed on a cuboid. The figure has

Atwelve faces

Bthirteen vertices

Cfourteen edges

Dfifteen edges

Esixteen edges

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Question 1173

jamb 1978

A man runs a distance of 9km at a constant speed for the first 4 km and then 2 km\h faster for the rest of the distance. The whole run takes him one hour. His average speed for the first 4 km is

A6 km/h

B8 km/h

C9 km\h

D11 km\h

E13 km\h

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Question 1174

jamb 1978

A canal has rectangular cross section of width10cm and breadth 1m. If water of uniform density 1 gm cm-3 flows through it at a constant speed of1000mm per minute, the adjacent sea is

A100000

B1000000

C120000

D30000

E350000

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Question 1175

jamb 1978

If \(3x - (\frac{1}{4})^{-\frac{1}{2}} > \frac{1}{4} - x \), then the interval of values of x is

Ax > \(\frac{1}{3}\)

Bx < \(\frac{1}{3}\)

Cx < \(\frac{1}{4}\)

Dx < \(\frac{9}{16}\)

Ex > \(\frac{9}{16}\)

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Question 1176

jamb 1978

If the four interior angles of a quadrilateral are (p + 10)°, (p - 30)°, (2p - 45)°, and (p + 15)°, then p is

A125^o

B82^o

C135^o

D105^o

E60^o

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Question 1177

jamb 1978

If a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2:5, In what ratio is the surface area reduced?

A8 : 125

B2 : 5

C8 : 25

D4 : 25

E4 : 10

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Question 1178

jamb 1978

Given that \(a*b = ab + a + b\) and that \(a ♦ b = a + b = 1\). Find an expression (not involving * or ♦) for (a*b) ♦ (a*c) if a, b, c, are real numbers and the operations on the right are ordinary addition and multiplication of numbers

Aac + ab + bc + b + c + 1

Bac + ab + a + c + 2

Cab + ac + a + b + 1

Dac + bc + ab + b + c + 2

Eab + ac + 2a + b + c + 1

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Question 1179

jamb 1978

Father reduced the quantity of food bought for the family by 10% when he found that the cost of living had increased 15%. Thus the fractional increase in the family food bill is now

A\(\frac{1}{12}\)

B\(\frac{6}{35}\)

C\(\frac{19}{300}\)

D\(\frac{7}{200}\)

E\(\frac{5}{100}\)

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Question 1180

jamb 1978

Five years ago, a father was 3 times as old as his son, now their combined ages amount to 110years. thus, the present age of the father is

A75 years

B60 years

C98 years

D80 years

E105 years

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