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.

2,171.

A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A.

336

B.

420

C.

576

D.

720

Correct answer is A

Total floor area = 720 x 420

Area of one tile = 30 x 30

No. of tile required = \(\frac{720 \times 420}{30 \times 30}\)

= 24 x 14

= 336 tiles

2,172.

4sin2 x - 3 = 0, find x if 0 \(\geq\) x \(\geq\) 90o

A.

30o

B.

45o

C.

60o

D.

9o

Correct answer is C

4 sin2x - 3 = 0

sin2x = \(\frac{3}{4}\)

Sin x = \(\pm\) \(\sqrt{\frac{3}{4}}\)

= \(\pm\) \(\sqrt{\frac{3}{4}}\)

= 60o

2,173.

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35o and 55o. Find the distance between the two points of observation

A.

10(sin 35o - sin 55o)

B.

10 cos35o - cos 55o

C.

10(tan35o - tan55o)

D.

10(cot35o - cot55o)

Correct answer is D

x = 10 cot35o - 10 cot55o

= 10(cot35o - cot55o)

2,174.

If x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle.

A.

68cm

B.

84cm

C.

100cm

D.

120cm

Correct answer is D

13 = 52

1 = \(\frac{52}{13}\)

= 4

5 + 12 + 13 = 30

Total perimeter = 30 x 4

= 120cm

2,175.

In XYZ, y = z = 30° and XZ = 3cm. Find YZ

A.

\(\frac{\sqrt{3}}{2}\) cm

B.

3\(\frac{\sqrt{3}}{2}\) cm

C.

3\(\sqrt{3}\) cm

D.

2\(\sqrt{3}\) cm

Correct answer is C

Y \(\to\) 30°

X \(\to\) 120°

Z \(\to\) 30°

\(\frac{3}{\text{sin 30}}\) = \(\frac{YZ}{\text{sin 120}}\)

YZ = \(\frac{3\times \sin 120}{\sin 30}\)

\(3 \times \frac{\sqrt{3}}{2} \times 2 = 3\sqrt{3}\)