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 diagram, If < RPS = 50o, < RPQ = 30o and pq = QR, Find the value of < prs
50o
60o
70o
80o
Correct answer is C
< QPR = < PRQ = 30o (PQ = QR)
< SPQ + < QRS = 180o (supplementary)
80 + < QRS = 180o = < QRS = 180o - 80o = 100o
< QRP + < PRS = 100o = 30o + < PRS = 100o
= < PRS = 100o - 30o = 70o
7
8
9
12
Correct answer is A
degree of excellent in the pie-chart = 360o - (90o + 120o + 80o) = 360o - 290o = 70o
= 360o = 36 students
70 = \(\frac{70^o}{360^o}\) x 36 = 7
find the length XZ in the triangle
\(\sqrt{7m}\)
\(\sqrt{6m}\)
\(\sqrt{5m}\)
\(\sqrt{3m}\)
Correct answer is A
xz2 = xy2 + yx2 - 2(xy) (yz) cos 120o
= 22 + 12 - 2(2) (1) cos 1202
= 4 + 1 - 4x - cos 60 = 5 - 4x - \(\frac{1}{2}\)
5 + 2 = 7
xz = \(\sqrt{7}\)m
Find the value of L in the frustum
5cm
6cm
7cm
8cm
Correct answer is A
No explanation has been provided for this answer.
In the figure, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units
3
4
5
6
Correct answer is A
In \(\bigtriangleup\)WOP, b2 = r2 - (4.502...........(i)
In \(\bigtriangleup\)WOT, b\(\bigtriangleup\) + (4.5 + x)2 = a2...........(ii)
In \(\bigtriangleup\)ZOT, a2 = 62 + r2 ..........(iii)
subst. equation (iii) and (i) in eqn (ii)
r2 - (4.5)2 + (4.5 + x)2 = 36 = 20.25
= (4.5 + x)2 = \(\sqrt{56.25}\) = (4.5 + x)
= 56.25
= 4.5 + x = 7.5
x = 3.0m