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Mathematics Past Questions

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49 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Past Questions

49 questions

Question 1 of 20 49 total questions

Question 11

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 12

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 13

jamb 1980

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

E\(\frac{1}{2}\)

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Question 14

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 15

jamb 1980

What will be the value of k so that the quadratic equation kx² - 4x + 1 = 0 has two equal roots?

E\(\frac{1}{4}\)

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Question 16

jamb 1980

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

Ax^-a2

Bx^b2

Cx^{a2 - b2}

D\(\frac{1}{x^{a2 + b2}}\)

Ex^{b2 - a2}

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Question 17

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 18

jamb 1980

A pentagon has four of its angles equal. If the size of the fifth angle is 60^o, Find the size of each of the four equal angles.

A60^o

B108^o

C120^o

D150^o

ENone of the above

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Question 19

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 20

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 x^o at the centre of the circle where x is

A36^o

B60^o

C70^o

D72^o

E75^o

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Question 21

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 22

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 23

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 24

jamb 1980

What factor is common to all the expressions x² - x, 2x² + x - 1 and x² - 1?

Bx + 1

Cx - 1

DNo common factor

E(2x - 1)

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Question 25

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 26

jamb 1980

Simplify \(\frac{log_{10}8}{log_{10}4}\)

Alog10²

Blog10⁴

C\(\frac{3}{2}\)

ENone of the above

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Question 27

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 28

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 29

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 30

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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