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.

741.

Examine M' \(\cap\) N from the venn diagram

A.

{f, g}

B.

{e}

C.

{e, f, g}

D.

{e, f, g}

Correct answer is A

From the venn diagram given,

M = (a, b, c), N = (c, f, g)

U = (a, b, c, d, e, f, g)

Thus M' \(\cap\) N = (e, f, g) \(\cap\) (c, f, g)

= (f, g)

742.

The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take \(\pi = \frac{22}{7}\)]

A.

70o

B.

60o

C.

55o

D.

42o

Correct answer is B

Perimeter of a sector

= 2r + \(\frac{\theta}{360^o}\) x 2 x \(\frac{22}{7}\) x 21

64 = 2 x 21 + \(\frac{\theta}{360^o}\) x 2 x \(\frac{22}{7}\) x 21

64 = 42 + \(\frac{\theta}{360^o}\) x 44 x 3

64 - 42 = \(\frac{\theta}{360^o}\) x 11 x 3

22 = \(\frac{33\theta}{90}\)

\(\theta = \frac{22 \times 30}{11}\)

= 60o

743.

The diagram, MOPQ is a trapezium with QP||MO, MQ||NP, NQ||OP, |QP| = 9cm and the height of \(\Delta\) QNP = 6cm, calculate the area of the trapezium.

A.

96cm2

B.

90cm2

C.

81cm2

D.

27cm2

Correct answer is C

Area of \(\Delta\) QNP = \(\frac{1}{2} \times 9 \times 6 \) = 27cm2

Area of \(\Delta\) QMN = Area of \(\Delta\) QNP

= Area of \(\Delta\) PNO (triangles between the same parallels)

Hence, area of the trapezium

3 x area of \(\Delta\) QNP

= 3 x 27

= 81cm2

744.

Express 1975 correct to 2 significant figures

A.

20

B.

1,900

C.

1,980

D.

2,000

Correct answer is D

No explanation has been provided for this answer.

745.

A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r

A.

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

B.

2

C.

3

D.

6

Correct answer is C

Volume of sphere = Volume of cylinder

i.e. \(\frac{4}{3} \pi r^3 = \pi r^2 h\)

\(\frac{4}{3} \pi r^3 = \pi \times 3^2 \times 4\)

r3 = \(\frac{\pi \times 9 \times 4 \times 3}{4 \pi}\)

r = 3\(\sqrt{27}\)

= 3