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.
Evaluate \(\int_0^1 4x - 6\sqrt[3] {x^2}dx\)
- \(\frac{5}{8}\)
- \(\frac{8}{5}\)
\(\frac{8}{5}\)
\(\frac{5}{8}\)
Correct answer is B
\(\int_0^1 4x - 6^3\sqrt x^2\) dx
=\(\int_0^1 4x - 6x^{2/3}\) dx
=\((2x^2 - \frac{8x^{5/3}}{5})_0^1\)
=\((2(1)^2 - \frac{18(1)^{5/3}}{5}) - (2(0)^2 - \frac{18(0)^{5/3}}{5}\)
= - \(\frac{8}{5}\) - 0
- \(\frac{8}{5}\)
-49
64
113
15
Correct answer is D
Given that, a * b = a\(^2\)b and a ^ b = 2a + b
(-4 * 2) = (-4)\(^2\) x 2 = 16 x 2 = 32
(7 * -1) = 7\(^2\) x (-1) = 49 x (-1) = -49
∴ (-4 * 2) ^ (7 * -1) = 2(32) + (-49) = 64 - 49 = 15
Evaluate: 16\(^{0.16}\) × 16\(^{0.04}\) × 2\(^{0.2}\)
2
0
2\(^0\)
\(\frac{1}{2}\)
Correct answer is A
16\(^{0.16}\) × 16\(^{0.04}\) × 2\(^{0.2}\)
=2\(^{4(0.16)}\) × 2\(^{4(0.04)}\) × 2\(^{0.2}\)
=2\(^{0.64}\) × 2\(^{0.16}\) × 2\(^{0.2}\)
=2\(^{0.64\times0.16\times0.2}\)
=2\(^1\)
2
How many different 8 letter words are possible using the letters of the word SYLLABUS?
(8 - 1)!
\(\frac{8!}{2!}\)
\(\frac{8!}{2! 2!}\)
8!
Correct answer is C
SYLLABUS has 8 letters, 2S's and 2L's
\(\frac{8!}{2! 2!}\)
x = 2,3
x = 0,3
x = \(\frac{1}{2}\), \(\frac{1}{3}\)
x = \(\frac{1}{2}\), \(\frac{-1}{3}\)
Correct answer is C
6x\(^2\) = 5x - 1
→ 6x\(^2\) - 5x + 1 = 0
Factorization:
factors are -3x and -2x
6x\(^2\) - 3x -2x + 1 = 0
(6x\(^2\) - 3x) (-2x + 1) = 0
3x(2x-1) -1(2x-1) = 0
(3x-1) (2x-1) = 0
x = \(\frac{1}{2}\), \(\frac{1}{3}\)