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.

2,201.

In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represents meat in pie chart

A.

30o

B.

60o

C.

112.5o

D.

157.5o

Correct answer is D

Rice = 75g, Margarine = 40g, Meat = 105g, Bread = 20g, Total = 240

Angle of sector represented by meat

= \(\frac{105}{240}\) x \(\frac{360°}{1}\) = 157.5°

2,202.

OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT

A.

2\(\sqrt{5}\)

B.

3

C.

4

D.

4\(\sqrt{3}\)

Correct answer is D

xz2 = 62 + 62

36 + 36 = 72

xz = \(\sqrt{72}\)

6\(\sqrt{2}\) = xT

\(\frac{6\sqrt{2}}{2}\) = \(\frac{3}{\sqrt{2}}\)

OT2 = 52 + (3\(\sqrt{2}\))2 = 25 + 18

OT = 4\(\sqrt{3}\)

2,203.

A cylindrical metal pipe 1m long has an outer diameter of 7.2cm and an inner diameter of 2.8cm. Find the volume of metal used for the cylinder

A.

440\(\pi\)cm3

B.

1100\(\pi\)cm3

C.

4400\(\pi\)cm3

D.

1100\(\pi\)cm3

Correct answer is A

Volume of cylinder pip (V) = \(\pi\)h(R\(^2\) - r\(^2\))

= 100\(\pi\)(7.2\(^2\) - 2.8\(^2\))

= 100\(\pi\)(51.84 - 7.84)

= 100\(\pi\) x 44

= 440\(\pi\)cm\(^3\)

2,204.

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

2,205.

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