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.
Find the value of x for which 2(32x-1) = 162
5/2
3/2
2/5
1/2
Correct answer is A
2(32x-1) = 162
32x-1 = 162/2
32x-1 = 81
32x-1 = 32
2x - 1 = 4 (equating the indices)
2x = 5
5/2
x =
Evaluate \(\frac{(05652)^2 - (04375)^2}{0.04}\) correct to three significant figures
3.11
3.13
0.313
3.12
Correct answer is B
\(\frac{(0.5652)^2 - (0.4375)^2}{0.04}\\
\frac{(0.5625+0.4375)(0.5625-0.4375)}{0.04}\\
\frac{1.000\times 0.125}{0.04}\\
=3.125\\
=3.13\)
124
121
184
180
Correct answer is C
x10 = 12145
= x10 = 1 x 53 + 2 x 52 + 1 * 51 + 4 x 50
= 1 x 125 + 2 x 25 + 1 x 5 + 4 x 1
= 125 + 50 + 5 + 4
= 184
Find y, if \(\sqrt{12}-\sqrt{147}+y\sqrt{3} = 0\)
5
1
7
3
Correct answer is A
\(\sqrt{12}-\sqrt{147}+y\sqrt{3} = 0\\
\sqrt{4\times 3}-\sqrt{49\times 3}+y\sqrt{3} = 0\\
2\sqrt{3}-7\sqrt{3}+y\sqrt{3} = 0\\
y\sqrt{3} = 7\sqrt{3} - 2\sqrt{3}\\
y=\frac{5\sqrt{3}}{\sqrt{3}}\\
y = 5\)
Find the sum to infinity of the series \(2+\frac{3}{2}+\frac{9}{8}+\frac{27}{32}+......\)
1
2
8
4
Correct answer is C
\(a=2\\
r = \frac{3}{4}\\
S = \frac{a}{1-r}\\
S= \frac{2}{1-\frac{3}{4}}\\
= \frac{2}{\frac{1}{4}}\\
S = \frac{2}{1}\times \frac{4}{1}\\
= 8\)