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.

1,651.

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)

1,652.

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

1,653.

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

1,654.

PQ and PR are tangents from P to a circle centre O as shown in the figure. If QRP = 34o, find the angle marked x

A.

34o

B.

56o

C.

68o

D.

112o

Correct answer is C

From the circle centre 0, if PQ & PR are tangents from P and QRP = 34o

Then the angle marked x i.e. QOP

34o x 2 = 68o

1,655.

The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume

A.

120m2

B.

576m3

C.

816m3

D.

1056m3

Correct answer is C

Volume of solid = cross section x H

Since the cross section is a trapezium

= \(\frac{1}{2} (6 + 11) \times 12 \times 8\)

= 6 x 17 x 8 = 816m3