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 a figure, PQR = 60o, PRS = 90o, RPS = 45o, QR = 8cm. Determine PS
2\(\sqrt{3}\)cm
4\(\sqrt{6}\)cm
2\(\sqrt{6}\)cm
8\(\sqrt{6}\)cm
8cm
Correct answer is B
From the diagram, sin 60o = \(\frac{PR}{8}\)
PR = 8 sin 60 = \(\frac{8\sqrt{3}}{2}\)
= 4\(\sqrt{3}\)
Cos 45o = \(\frac{PR}{PS}\) = \(\frac{4 \sqrt{3}}{PS}\)
PS Cos45o = 4\(\sqrt{3}\)
PS = 4\(\sqrt{3}\) x 2
= 4\(\sqrt{6}\)
Solve the following equations 4x - 3 = 3x + y = x - y = 3, 3x + y = 2y + 5x - 12
x = 5, y = 2
x = 2, y = 5
x = 5, y = -2
x = -2, y = -5
x = -5, y = -2
Correct answer is A
4x - 3 = 3x + y = x - y = 3.......(i)
3x + y = 2y + 5x - 12.........(ii)
eqn(ii) + eqn(i) 3x = 15
x = 5
substitute for x in equation (i)
5 - y = 3
y = 2
4:1 increase
2:1 increase
1:1 no change
1:4 decrease
3:4 decrease
Correct answer is B
\(x \propto y^{3} z^{4}\)
\(x = ky^{3} z^{4}\)
If y is halved and z is doubled, we have
\(x = k (\frac{1}{2} y)^{3} (2z)^{4}\)
\(x = k (\frac{y^{3}}{8}) (16z^{4})\)\)
\(x = 2k y^{3} z^{4}\)
\(\therefore \text{x is increased in the ratio 2 : 1}\)
Given a regular hexagon, calculate each interior angle of the hexagon
60o
30o
120o
45o
135o
Correct answer is C
Sum of interior angles of polygon = (2n - 4)rt < s
sum of interior angles of an hexagon
(2 x 6 - 4) x 90o = (12 - 4) x 90o
= 8 x 90o
= 720o
each interior angle will have \(\frac{720^o}{6}\)
= 120o
N20, 000
N25,000
N30,000
N15,000
N45, 000
Correct answer is E
Total sharing ratio is 9 X has 4, Y has 4 + 1 If 1 is N5000 Total profit = 5000 x 9 = N45,000