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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

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Question 2081

jamb 1983

If x is jointly proportional to the cube of y and the fourth power of z. In what ratio is x increased or decreased when y is halved and z is doubled?

A4:1 increase

B2:1 increase

C1:1 no change

D1:4 decrease

E3:4 decrease

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Question 2082

jamb 1983

Given a regular hexagon, calculate each interior angle of the hexagon

A60^o

B30^o

C120^o

D45^o

E135^o

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Question 2083

jamb 1983

A construction company is owned by two partners X and Y and it is agreed that their profit will be divided in the ratio 4:5. At the end of the year, Y received N5,000 more than X. What is the total profit of the company for the year?

AN20, 000

BN25,000

CN30,000

DN15,000

EN45, 000

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Question 2084

jamb 1983

If M represents the median and D the mode of the measurements 5, 9, 3, 5, 7, 5, 8, then (M, D) is

A(6, 5)

B(5, 8)

C(5, 7)

D(5, 5)

E(7, 5)

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Question 2085

jamb 1982

TP and TQ are tangents to a circle centre 0, and r is a point on the circumference of the circle as shown in the figure. If angle PTQ = 45º, what is the magnitude of the angle PRO?

A45\(^0\)

B135\(^0\)

C40\(^0\)

D67\(\frac{1}{2}\)\(^0\)

E52\(\frac{1}{2}\)\(^0\)

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Question 2086

jamb 1982

In the figure, QRST is a rectangle; PT// QM, angle P = 60o. Find angle MUR

A150^o

B30^o

C60^o

D120^o

E90^o

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Question 2087

jamb 1982

PQRS is a parallelogram with area 50 square cm and the side PQ is 10cm long. T is a point on RS and TF is the altitude of the triangle TPQ. Find TF

A10cm

B12.5cm

C8cm

D6cm

E5cm

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Question 2088

jamb 1982

If K is a constant, which of the following equations best describes the parabola?

Ay = kx²

Bx = y² - k

Cy = k - x²

Dx² = y² - k

Ey = (k - x)²

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Question 2089

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 2090

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 2091

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 2092

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 2093

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 2094

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 2095

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 2096

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 2097

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 2098

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 2099

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 2100

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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