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Mathematics Past Questions

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4,407 questions

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Question 2091

jamb 1982

The solution to the simultaneous equations 3x + 5y = 4, 4x + 3y = 5 is

A(\(\frac{-13}{11}, \frac{1}{11}\))

B(\(\frac{13}{11}, \frac{1}{11}\))

C(\(\frac{13}{11}, \frac{-1}{11}\))

D(\(\frac{11}{13}, \frac{1}{11}\))

E(13, 11)

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Question 2092

jamb 1982

A housewife bought 3 kilograms of garri at N13.00 per kg. She deposited N160. 00 for half a cow and bought 24 oranges at 10k each. She came back home with N20.60. She therefore left home with

AN220.00

BN222.00

CN201.40

DN202.00

EN180.80

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Question 2093

jamb 1982

The solution to the quadratic equation 5 + 3x - 2x² = 0 is

A(\(\frac{5}{2}\), 1)

B(5, 3)

C-(\(\frac{5}{2}\), -1)

D(\(\frac{5}{2}\), -1)

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Question 2094

jamb 1982

Simplify \(\frac{3}{2x - 1}\) + \(\frac{2 - x}{x - 2}\)

A\(\frac{2 - x}{(2x - 1)(x - 2)}\)

B\(\frac{5 - x}{(2x - 1)(x - 2)}\)

C\(\frac{4 - 2x}{2x - 1}\)

D\(\frac{6 - 3x}{(2x - 1)(x - 2)}\)

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Question 2095

jamb 1982

In a regular polygon of n sides, each interior angle is 144o. Find n

A12

B11

C10

E6F

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Question 2096

jamb 1982

The diameter of a metal rod is measured as 23.40 cm to four significant figures. What is the maximum error in the measurement?

A0.05cm

B0.5cm

C0.045cm

D0.005cm

E0.004cm

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Question 2097

jamb 1982

A world congress of mathematicians were held in Nice in 1970 with 800 people participating. There were 300 from Europe, 200 from America, 150 from Asia, 45 from Africa and 105 from Australia. Representing the above on a pie chart, the angle of the sector representing the participants from Asia is?

A150^o

B67\(\frac{1}{2}\)^o

C67^o

D135^o

E68^o

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Question 2098

jamb 1982

If \(\frac{3e + f}{3f - e}\) = \(\frac{2}{5}\), find the value of \(\frac{e + 3f}{f - 3e}\)

A\(\frac{5}{2}\)

C\(\frac{26}{7}\)

D\(\frac{1}{3}\)

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Question 2099

jamb 1982

The quantity y is partly constant and partly varies inversely as the square of x. With P and Q as constants, a possible relationship between x and y is

Ay = Q + \(\frac{P}{x^2}\)

By = Q + px

Cy = \(\frac{PQ}{x^2}\)

Dy = Q - \(\frac{P}{x^2}\)

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Question 2100

jamb 1982

Express 130 kilometers per second in meters per hour

A7.8 x 10^-5

B4.68 x 10⁶

C7,800,000

D4.68 x 10⁸

E7.80 x 10⁵

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Question 2101

jamb 1982

A stone Q is tied to a point P vertically above Q by an inelastic string of length 2 meters. How high does the stone rise when the string is inclined at an angle 60^o to the vertical?

AIt does not rise

B2\(\sqrt{3}\) meters

C3 meters

D1 meters

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Question 2102

jamb 1982

Find the values of x for which the expression \(\frac{(x - 3)(x - 2)}{x^2 + x - 2}\) is undefined?

A1, -2

B-1, 2

C2, 3

D-1. -2

E-2, -3

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Question 2103

jamb 1982

Express 37.05 x 0.0042 in standard form

A15.561 x 10²

B1.5561 x 10^-4

C1.556 x 10^-1

D1.5561 x 10¹

E1.55 x 10¹

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Question 2104

jamb 1982

Solve for x, If \(\frac{\frac{2}{x}}{\frac{1}{p^2} + \frac{1}{q^2}}\) = m

A\(\frac{4pq}{m(p + q)}\)

B\(\frac{2p^2q^2}{m(q^2 + p^2)}\)

C\(\frac{2pq}{m(q^2 + p^2)}\)

D\(\frac{2p^2q^2}{m(p^2)}\)

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Question 2105

jamb 1982

The currency used in a country is called 'Matimalik'(M) and is of base seven. A lady in that country bought 4 bags of rice at M56 per bag and and 3 tins of milk at M4 per tin. What is the total cost of the item she bought?

AM246₇

BM242₇

CM236₇

DM341₇

EM338₇

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Question 2106

jamb 1982

If sin \(\theta\) = \(\frac{m - n}{m + n}\); Find the value of 1 + tan2\(\theta\)

A\(\frac{(m^2 + n^2)}{m + n}\)

B\(\frac{(m^2 + n^2 + 2mn)}{4mn}\)

C\(\frac{2(m^2 + n^2 + mn)}{m + n}\)

D\(\frac{(m^2 + n^2 + mn)}{m + n}\)

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Question 2107

jamb 1982

Given that p:q = \(\frac{1}{3}\):\(\frac{1}{2}\) and q:r = \(\frac{2}{5}\): \(\frac{4}{7}\) find p:r

A4:105

B7:15

C20:21

D2:35

E3:20

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Question 2108

jamb 1982

A sector of a circle is bounded by two radii 7cm long and an arc length 6cm. Find the area of the sector.

A42cm²

B3cm²

C21cm²

D24cm²

E12cm²

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Question 2109

jamb 1982

If f(x - 2) = 3\(x^2\) + 4x + 1. Find (1).

B40

D24

E32

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Question 2110

jamb 1982

Find the median of the set set of numbers 110, 116, 113, 119, 118, 127, 118, 117, 113

A117.5

B118

C117

D116

E113

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