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.

1,981.

Find the angle of the sectors representing each item in pie chart of the following data 6, 10, 14, 16, 26

A.

15o, 25o, 35o, 40o, 65o

B.

60o, 100o, 140o, 160o, 260o

C.

6o, 10o, 14o, 16o, 26o

D.

30o, 50o, 70o, 80o, 130o

E.

none of the above

Correct answer is D

6 + 10 + 14 + 16 + 26 = 72

\(\frac{6}{72}\) x 360

= 30o

Similarly others give 30o, 50o, 70o, 80o and 130o respectively

1,982.
1,983.

Solve the simultaneous equations for x in x2 + y - 8 = 0, y + 5x - 2 = 0

A.

-28, 7

B.

6, -28

C.

6, -1

D.

-1, 7

E.

3, 2

Correct answer is C

x2 + y - 8 = 0, y + 5x - 2 = 0

Rearranging, x2 + y = 8.....(i)

5x + y = 2.......(ii)

Subtract eqn(ii) from eqn(i)

x2 - 5x - 6 = 0

(x - 6)(x + 1) = 0

x = 6, -1

1,984.

If w varies inversely as V and U varies directly as w3, Find the relationship between u and v given that u = 1, when v = 2

A.

u = \(\frac{8}{v^3}\)

B.

v = \(\frac{8}{u^2v^3}\)

C.

u = 8v3

D.

v = 8u2

Correct answer is A

W \(\alpha\) \(\frac{1}{v}\)u \(\alpha\) w3

w = \(\frac{k1}{v}\)

u = k2w3

u = k2(\(\frac{k1}{v}\))3

= \(\frac{k_2k_1^2}{v^3}\)

k = k2k1k2

u = \(\frac{k}{v^3}\)

k = uv3

= (1)(2)3

= 8

u = \(\frac{8}{v^3}\)

1,985.

Simplify log10 a\(\frac{1}{3}\) + \(\frac{1}{4}\)log10 a - \(\frac{1}{12}\)log10a7

A.

1

B.

\(\frac{7}{6}\)log10 a

C.

zero

D.

10

Correct answer is C

log10 a\(\frac{1}{3}\) + \(\frac{1}{4}\)log10 a - \(\frac{1}{12}\)log10a7 = log10 a\(\frac{1}{3}\) + log10\(\frac{1}{4}\) - log10 a\(\frac{7}{12}\)

= log10 a\(\frac{7}{12}\) - log10 a\(\frac{7}{12}\)

= log10 1 = 0