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Mathematics Past Questions

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

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Past Questions

48 questions

Question 1 of 20 48 total questions

Question 1

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 2

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 3

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 4

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 5

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 6

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 7

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 8

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 9

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 10

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 11

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 12

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 13

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 14

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 15

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 16

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 17

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 18

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 19

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 20

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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