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Mathematics Past Questions

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

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Past Questions

47 questions

Question 1 of 20 47 total questions

Question 11

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 12

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 13

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 14

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 15

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 16

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 17

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 18

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 19

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 20

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 21

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 22

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 23

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 24

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 25

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 26

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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Question 27

jamb 1981

Marks scored by some children in an arithmetic test are:5, 3, 6, 9, 4, 7, 8, 6, 2, 7, 8, 4, 5, 2, 1, 0, 6, 9, 0, 8.
The arithmetic mean of the marks is

E10

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Question 28

jamb 1981

What is the area between two concentric circles of diameters 26cm and 20cm?

A100$\pi$

B169$\pi$

C69$\pi$

D9$\pi$

E269$\pi$

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Question 29

jamb 1981

Evaluate correct to 4 decimal places 827.51 x 0.015

A8.8415

B12.4127

C124.1265

D12.4120

E114.1265

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Question 30

jamb 1981

A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?

A9cm

B$\sqrt{65}$cm

C$4\sqrt{2}$cm

D7cm

E6.5cm

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