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.

1,446.

If tan x = 1, evaluate sin x + cos x, leaving your answer in the surd form

A.

2\(\sqrt{2}\)

B.

\(\frac{1}{2} \sqrt{2}\)

C.

\(\sqrt{2}\)

D.

2

Correct answer is C

tan x = 1; x = tan-1(10 = 45o

sin x + cos x

= sin 45o + cos 45o

= \(\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2}\)

= \(\frac{\sqrt{2} + \sqrt{2}}{2}\)

= \(\frac{2\sqrt{2}}{2}\)

= \(\sqrt{2}\)

1,447.

If xo is obtuse, which of the following is true?

A.

x . 90

B.

180 < x < 270

C.

x < 90

D.

90 < x < 180

Correct answer is D

obtuse angle \(\to\) 90o < x < 180o

1,448.

The angles of a quadrilateral are (x + 10)o, 2yo, 90o and (100 - y)o, Find y in terms of x

A.

y = 160 + x

B.

y = 100 + x

C.

y = 160 - x

D.

y = x - 100

Correct answer is C

Sum of the angles in a quadrilateral = 360o

(x + 10o) + 2y + 90o + 100 - y = 360o

x + y + 200 = 360o

y = 360 - 200 - x

y = 160 - x

1,449.

If the volume of a cube is 343cm3, find the length of its side

A.

3cm

B.

6cm

C.

7cm

D.

96cm

Correct answer is C

Volume of a cube = (side)3

= (side)3

(side)3 = 343

side = 3\(\sqrt{343}\)

side = 7cm

1,450.

PQR is a sector of a circle centre O, radius 4cm. If PQR = 30o, find, correct to 3 significant figures, the area of sector PQR. [Take \(\pi = \frac{22}{7}\)]

A.

4.19cm2

B.

8.38cm2

C.

10.5cm2

D.

20.9cm2

Correct answer is A

Given q2 = 25 - r2.....(1)

from pythagora's theorem

P2 = q2 + r2.......(2)

put (1) into (2)

p2 = 25 - p2 + x2

p2 = 25

p = \(\sqrt{25}\)

= 5