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.
In the figure, PQ||ST, RS||UV. If PQR = 35o and QRS = 65o, find STV
30o
35o
55o
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)
20o
55o
75o
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
In the figure, PQRS is a circle. If chords QR and RS are equal, calculate the value of x
80o
60o
45o
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
34o
56o
68o
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
The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume
120m2
576m3
816m3
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