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.

1,711.

In the figure, PQ\\SR, ST\\, ST\\RQ, PS = 7cm, PT = 7cm, SR = 4cm. Find the ratio of the area QRST to the area of PQRS.

A.

56.77

B.

56.105

C.

28:105

D.

28:49

E.

56:49

Correct answer is B

Area of QRST = 4 x 7 = 28

Area of PQRS = \(\frac{1}{2}\)(4 + 11) x 7

= \(\frac{7}{2}\) x \(\frac{15}{1}\)

= 28:52.5

= 56:105

1,712.

If PN is perpendicular to QR, find the value of tan x.

A.

\(\frac{5}{9}\)

B.

\(\frac{3}{5}\)

C.

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

D.

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

E.

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

Correct answer is B

By Pythagoras ON = 4

NR = 5

Tan x = \(\frac{3}{5}\)

1,713.

The area under the speed time graph given the total distance covered by car. What is the average velocity to two places of decimals?

A.

17.72 meter/sec.

B.

21.67 meters/sec

C.

2.5 meter/sec.

D.

20.45 meters/sec.

E.

13.33 meter/sec.

Correct answer is D

Time(sec) areas of the three sides are \(\frac{1}{2}\) x 2 x 20 = 20 x 2 = 40

\(\frac{1}{2}\) x 4 x 20 = 40

40 + 40 = 80

vel. = \(\frac{80}{4}\)

20 + 0.45 = 20.45 meter/sec.

1,714.

Find x in the diagram below.

A.

3\(\sqrt{3}\)

B.

\(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\)

C.

\(\frac{(\sqrt{3} - 1)}{\sqrt{3} + 1}\)

D.

\(\frac{3 - 1}{\sqrt{3} + 1}\)

Correct answer is B

\(\frac{x + 3}{sin 60^o}\) = \(\frac{x}{sin 306o}\)

3sin 30o = x sin 60o - x sin 30o

= x(sin 60o - sin 30o)

but sin 30o = \(\frac{1}{2}\)

sin 60o = \(\frac{3}{2}\) = \(\frac{3(\sqrt{3} - 1)}{\sqrt{3} + 1}\)

1,715.

PQ is parallel to RS. Calculate the value of x.

A.

20o

B.

40o

C.

60o

D.

80o

E.

100o

Correct answer is B

< D = 180o - 100v

= 80o (< on a str. line)

< s = 60o - alternate angle

x = 180o - (80o + 60o)

180o - 140o = 40o