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.

1,741.

In the figure, PS bisects angle QPR. Find the ratio SR:QR.

A.

1:2

B.

1:3

C.

1:4

D.

1:5

E.

1:6

Correct answer is C

From Internal bisection theorem, \(\frac{QP}{PR}\) = \(\frac{QS}{SR}\)

= \(\frac{4}{1}\)

= 1:4

1,742.

In the figure, If PT is parallel to RS, PQ = PT, and angle SQT = 90o, Find x

A.

35o

B.

50o

C.

55o

D.

70o

E.

80o

Correct answer is D

No explanation has been provided for this answer.

1,743.

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

1,744.

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

1,745.

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.