Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

1,972.

A ship H leaves a port P and sails 30 km due south. Then it sails 60km due west. What is the bearing of H from P?

A.

20o 34'

B.

243o 26'

C.

116o 34'

D.

63o 26'

E.

240o 56'

Correct answer is B

Let the bearing of H from P be represented by x°.

\(\tan \theta = \frac{30}{60} = 0.5\)

\(\theta = \tan^{-1} (0.5) = 26.565°\)

\(x = 180° + (90 - 26.565)\)

\(x = 180 + 63.435 = 243.435°\)

= \(243° 26'\)

1,973.

One interior angle of a convex hexagon is 170o and each of the remaining interior angles is equal to xo. Find x

A.

120o

B.

110o

C.

105o

D.

102o

E.

100o

Correct answer is B

An hexagon polygon is a six sided polygon

n = 6

sum of all interior angles of hexagon polygon will be (2n - 4) x 90o

= [2 x 6 - 4] x 90

= 720o

If one angle is 170o and each of the remaining five angles is 5xo

5xo + 170o = 720o

= 5x + 550

x = \(\frac{550}{5}\)

= 110o

1,974.

Factorize completely 81a\(^4\) - 16b\(^4\)

A.

(3a + 2b)(2a - 3b)(9a2 + 4b2)

B.

(3a - 2b)(2a - 3b)(4a2 - 9b2)

C.

(3a - 2b)(3a + 2b)(9a2 + 4b2)

D.

(6a - 2b)(8a - 3b)(4a3 - 9b2)

Correct answer is C

81a\(^4\) - 16b\(^4\) = (9a\(^2\))\(^2\) - (4b\(^2\))\(^2\)

= (9a\(^2\) + 4b\(^2\))(9a\(^2\) - 4b\(^2\))

N:B 9a\(^2\) - 4b\(^2\) = (3a - 2b)(3a + 2b)

1,975.

Without using tables find the numerical value of log749 + log7(\(\frac{1}{7}\))

A.

1

B.

2

C.

3

D.

7

E.

9

Correct answer is A

log749 + log7\(\frac{1}{7}\)

= log77

= 1