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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 1091

jamb 1981

The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm², then the radius of the ball is

A$\frac{2P}{\pi}$

B$\frac{P}{\sqrt{\pi}}$

C$\frac{P}{\sqrt{2\pi}}$

D2$\frac{P}{\pi}$

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Question 1092

jamb 1981

The difference between the length and width of a rectangle is 6cm and the area is 135cm2. What is the length?

A25cm

B18cm

C15cm

D24cm

E27cm

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Question 1093

jamb 1981

The positive root of t in the following equation, 4t2 + 7t - 1 = 0, correct to 4 places of decimal, is

A1.0622

B10.6225

C0.1328

D0.3218

E2.0132

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Question 1094

jamb 1981

Evaluate $\frac{6.3 \times 10^5}{8.1 \times 10^3}$ to 3 significant fiqures

A77.80

B778.0

C7.870

D8.770

E88.70

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Question 1095

jamb 1981

The number 25 when converted from the tens and units base to the binary base (base two) is one of the following

A10011

B111011

C111000

D11001

E110011

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Question 1096

jamb 1981

simplify $\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}$

A3²ⁿ

B3 x 2^{3n - 1}

C2ⁿ

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Question 1097

jamb 1981

Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed of Y is 60km per hour and x arrives at P 25 minutes earlier than Y. What is the average speed of X?

A51$\frac{3}{7}$km per hour

B72km per hour

C37$\frac{1}{2}$ km per hour

D66km per hour

E75km per hour

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Question 1098

jamb 1981

Given that 10$^x$ = 0.2 and log$_{10}$2 = 0.3010, find x

A-1.3010

B-0.6990

C0.6990

D1.3010

E0.02

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Question 1099

jamb 1981

If $\log_{2} y = 3 - \log_{2} x^{\frac{3}{2}}$, find y when x = 4.

B$\sqrt{65}$

C4$\sqrt{2}$

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Question 1100

jamb 1981

In $\bigtriangleup$XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW?

A1.5cm

B2.5cm

C3cm

D4cm

ENone of the above

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Question 1101

jamb 1981

Solve $\frac{1}{x + 1}$ - $\frac{1}{x + 3}$ = $\frac{1}{4}$

Ax = -1 or 3

Bx = 1 or 3

Cx = 1 or -5

Dx = -1 or 5

Ex = -1 or -3

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Question 1102

jamb 1981

Simplify $\frac{\sqrt{2}}{\sqrt{3} - \sqrt{2}}$ - $\frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}$

A2$\sqrt{2} - \sqrt{3}$

B3($\sqrt{6}$ - 1)

C$\sqrt{6}$ - 3

D-$\frac{1}{2}$

E$\frac{-\sqrt{3}}{\sqrt{2} - \sqrt{2}}$

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Question 1103

jamb 1981

In one and a half hours, the minute hand of a clock rotates through an angle of

A90^o

B180^o

C640^o

D450^o

E540^o

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Question 1104

jamb 1981

A micrometer is defined as one millionth of a millimeter. A length of 12,000 micrometres may be represented as

A0.00012m

B0.0000012m

C0.000012m

D0.00000012m

E0.000000012m

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Question 1105

jamb 1981

An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?

A7cm

B12cm

C8cm

D7cm

E69cm

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Question 1106

jamb 1981

By selling an article for N45.00 a man makes a profit of 8%. For how much should he have sold it in order to make a profit of 32%?

AN180.00

BN59.00

CN63.00

DN58.00

EN55.00

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Question 1107

jamb 1981

A sum of money invested at 5% per annum simple interest amounts to $285.20 after 3 years. How long will it take the same sum to amount to $434.00 at 7$\frac{1}{2}$% per annum simple interest?

A7$\frac{1}{2}$ years

B10 years

C5 years

D12 years

E14 years

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Question 1108

jamb 1981

7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11years join the class, what is the average age of the pupils now in the class?

A13years

B12 years 7$\frac{1}{2}$ months

C13 years 5 months

D13 years 10 months

E11 years

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Question 1109

jamb 1981

If $\sin x° = \frac{a}{b}$, what is $\sin (90 - x)°$?

A$\frac{\sqrt{b^2 - a^2}}{b}$

B1$\frac{-a}{b}$

C$\frac{b^2 - a^2}{b}$

D$\frac{a^2 - b^2}{b}$

E$\sqrt{b^2 - a^3}$

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Question 1110

jamb 1981

The weights of 30 new-born babies are given as follow: 6, 9, 5, 7, 6, 7, 5, 8, 9, 5, 7, 5, 8, 7, 8, 7, 5, 6, 5, 7, 6, 9, 9, 7, 8, 8, 7, 8, 9, 8. The mode is

E10

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