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.

1,486.

A messenger was paid N2.50 an hour during the normal working hours and 4.00 n hour during overtime. If he received N31.00 for 10 hours work, how many hours are for overtime?

A.

2

B.

3

C.

4

D.

6

Correct answer is C

Let normal working hour = x

let overtime = y

after 10 hours = N31.00

1 x 2.50x + 4y = 31

4 x x + y = 10

2.50x + 4y = 31
- 4x + 4y = 30
----------------
-1.5x = -9

x = 6; x + y = 10

6 + y = 10

y = 10 - 4

y = 4hrs for over time

1,487.

Find the value of a if log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030

A.

4.0

B.

2.0

C.

1.6

D.

0.0

Correct answer is C

log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030

log (a x a\(^2\)) = 0.9030

log a\(^3\) = 0.9030

a\(^3\) = 10^.9030(antilogarithm table)

a\(^3\) = 7.998

a = 3\(\sqrt{7.998}\)

a = 1.6

1,488.

The bearing of a point P from another point Q is 310o. If |PQ| = 200m, how far west of Q is P?

A.

128.6m

B.

153.2m

C.

167.8m

D.

187.9m

Correct answer is B

cos 40 = \(\frac{x}{200}\)

x - 200 x cosx

= 200 x 0.7660

x = 153.2m

1,489.

Q is 32 km away from P on a bearing 042o and R is 25km from P on a bearing of 132o. Calculate the bearing of R from Q.

A.

122o

B.

184o

C.

190o

D.

226o

Correct answer is B

No explanation has been provided for this answer.

1,490.

Divide the sum of 8, 6, 7, 2, 0, 4, 7, 2, 3, by their mean

A.

9

B.

8

C.

7

D.

6

Correct answer is A

Sum = 8 + 6 + 7 + 2 + 0 + 4 + 7 + 2 + 3 = 39

mean = \(\frac{39}{9}\) = 4.33

then \(\frac{sum}{mean}\) = \(\frac{39}{4.33}\)

= 9