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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 1061

jamb 1982

In the fiqure where PQRTU is a circle, ISTI = IRSI and angle TSR = 52^o. Find the angle marked m

A128^o

B52^o

C104^o

D64^o

E116^o

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Question 1062

jamb 1982

The diagram is the distance time graph of a vehicle. Find its average speed in kilometers per hour during the journey

A155km/hr

B50km/hr

C40km/hr

D124km/hr

E84km/hr

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Question 1063

jamb 1982

In the diagram, angle QPR = 90^o, angle PSR = 90^o and PR = 5 units. Find the length of QS.

A5 tan 25^o sin 65^o

B5 cos 25^o sin 65^o

C5 tan 25^o cos 65^o

Dcos 25^o cos 65^o

E5 cosec 25^o

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Question 1064

jamb 1982

The arithmetic mean of the ages of 30 pupils in a class is 15.3 years. One boy leaves the class and one girl is enrolled, and the new average age of 30 pupils in the class becomes 15.2 years. How much older is the boy than the girl?

A30 years

B6 years

C9 years

D3 years

E1 year

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Question 1065

jamb 1982

Two distinct sectors i the same circle substend 100^o and 30^o respectively at the centre of the circle. Their corresponding arcs are in ratio

A10:3

B1:100

C3:1

D5:2

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Question 1066

jamb 1982

A variable y is inversely proportional to x\(^2\), when y = 10, x = 2. What is y when x = 10?

C100

D0.4

E0.1

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Question 1067

jamb 1982

A side of a rhombus is 2cm in length. An angle of the rhombus is 60^o. What is the length of the diagonal facing this angle?

A2cm

B8cm

C4cm

D2\(\sqrt{3}\)cm

E16cm

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Question 1068

jamb 1982

If the function y = 5x is graphed, what would be its intercept on the y-axis?

B\(\frac{1}{5}\)

Ezero

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Question 1069

jamb 1982

Determine the mean monthly salary of 50 employees of a company from the following frequency distribution.
\(\begin{array}{c|c} \text{Monthly salary} & \text{Frequency}\\\hline N200.00 & 10\\ N325.00 & 5\\N100.00 & 20\\N120.00 & 2\\ N60.00 & 10\\ N80.00 & 3\end{array}\)

AN215.30

BN134.10

CN143.10

DN80.00

EN50.30

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Question 1070

jamb 1982

Simplify f\(^{\frac{1}{2}}\)g\(^2\)h\(^{\frac{1}{3}}\) \(\div\) f\(^{\frac{5}{2}}\)g\(^o\)h\(^{\frac{7}{3}}\)

A(\(\frac{g}{fh}\))²

Bf²g²h²

C\(\frac{5}{4}\)g^oh\(\frac{7}{9}\)

D\(\frac{g^2}{f^5h^7}\)

E\(\frac{1}{f^2h^2}\)

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Question 1071

jamb 1982

The square base of a pyramid of side 3cm has height 8cm. If the pyramid is cut into two parts by a plane parallel to the base midway between the base and the vertex, the volumes of the two sections are

A(21cm³, 3cm³)

B(24cm³, 3cm³)

C(24cm³, 21cm³)

D(72cm³, 9cm³)

E(63cm³, 9cm³)

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Question 1072

jamb 1982

The area of the curved surface of the cone generated by the sector of a circle radius 6cm and arc length 22cm is (\(\pi\) = \(\frac{22}{7}\))

A58 sq.cm

B34 sq.cm

C132 sq.cm

D77 sq.cm

E66 sq.cm

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Question 1073

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 1074

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 1075

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 1076

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 1077

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 1078

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 1079

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 1080

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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