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.

3,326.

The angle of a sector of a circle radius 10.5cm is 120°. Find the perimeter of the sector [Take π = 22/7]

A.

22cm

B.

33.5cm

C.

43cm

D.

66cm

E.

115.5cm

Correct answer is C

Perimeter of a sector = \(2r + \frac{\theta}{360} \times 2\pi r\)

= \(2(10.5) + \frac{120}{360} \times 2 \times \frac{22}{7} \times 10.5\)

= \(21 + 22\)

= 43 cm

3,327.

The area and a diagonal of a rhombus are 60 cm\(^2\) and 12 cm respectively. Calculate the length of the other diagonal.

A.

5cm

B.

6cm

C.

10cm

D.

12cm

E.

15cm

Correct answer is C

Area of rhombus = \(\frac{pq}{2}\)

where p and q are the two diagonals of the rhombus.

\(\therefore 60 = \frac{12 \times q}{2}\)

6q = 60 \(\implies\) q = 10 cm

3,328.

A cone is 14cm deep and the base radius is 41/2cm. Calculate the volume of water that is exactly half the volume of the cone.[Take π = 22/7]

A.

49.5cm3

B.

99cm3

C.

148.5cm3

D.

297cm3

E.

445.5cm3

Correct answer is C

Volume of a cone = \(\frac{1}{3} \pi r^2 h\)

r = 4\(\frac{1}{2}\) cm; h = 14 cm

Volume of cone = \(\frac{1}{3} \times \frac{22}{7} \times \frac{9}{2} \times \frac{9}{2} \times 14\)

= 297 cm\(^3\)

When half- filled, the volume of the water = \(\frac{297}{2} = 148.5 cm^3\)

3,329.

Calculate the total surface area of a cone of height 12cm and base radius 5cm. [Take π = 22/7]

A.

180 5/7cm2

B.

240 2/7cm2

C.

235 5/7cm2

D.

282 6/7cm2

E.

361 3/7cm2

Correct answer is D

No explanation has been provided for this answer.

3,330.