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.

1,681.

In \(\bigtriangleup\)XYZ, determine the cosine of angle Z.

A.

\(\frac{3}{39}\)

B.

\(\frac{29}{36}\)

C.

\(\frac{14}{5}\)

D.

\(\frac{7}{5}\)

Correct answer is B

cos z = \(\frac{y^2 + x^2 -z^2}{2yx}\)

= \(\frac{9 + 36 - 16}{2(3)(6)}\)

= \(\frac{29}{36}\)

1,682.

The people in a city with a population of 0.9 million were grouped according to their ages. Use the diagram to determine the number of people in the 15 - 29 years group

A.

29 x 104

B.

26 x 104

C.

16 x 104

D.

13 x 104

Correct answer is B

15 - 29 years is represented by 104o

Number of people in the group is \(\frac{104}{360}\) x 0.9m

= 260000 = 26 x 104

1,683.

In the figure, PQ||ST, RS||UV. If PQR = 35o and QRS = 65o, find STV

A.

30o

B.

35o

C.

55o

D.

65o

Correct answer is A

Draw XW//PQ and ARW = 35o (alternative angle)

WRS = 60 - 30

= 30o

RSR = 30o (Alternative angle)

STV = 30o (Alternative angle)

1,684.

In the figure, \(\bigtriangleup\)PQT is isosceles. PQ = QT, SRQ = 35o, TPQ = 20o and PQR is a straight line.Calculate TSR

A.

20o

B.

55o

C.

75o

D.

140o

Correct answer is C

Given \(\bigtriangleup\) isosceles PQ = QT, SRQ = 35o

TPQ = 20o

PQR = is a straight line

Since PQ = QT, angle P = angle T = 20o

Angle PQR = 180o - (20 + 20) = 140o

TQR = 180o - 140o = 40o < on a straight line

QSR = 180o - (40 + 35)o = 105o

TSR = 180o - 105o

= 75o

1,685.

In the figure, PQRS is a circle. If chords QR and RS are equal, calculate the value of x

A.

80o

B.

60o

C.

45o

D.

40o

Correct answer is D

SRT is a straight line, where QRT = 120

SRQ = 180o - 120o = 60o - (angle on a straight line)

also angle QRS = 180o - 100o (angle on a straight line) . In angles where QR = SR and angle SRQ = 60o

x = 100 - 60 = 40o