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.
Write as a single fraction \(\frac{1}{1 - x} + \frac{2}{1 + x}\)
\(\frac{x + 3}{1 - x^2}\)
\(\frac{3 - x}{(1 - x)^2}\)
\(\frac{3 - x}{1 + x^2}\)
\(\frac{3 - x}{(1 + x)^2}\)
\(\frac{3 - x}{1 - x^2}\)
Correct answer is E
\(\frac{1}{1 - x} + \frac{2}{1 + x}\)
= \(\frac{(1 + x) + 2(1 - x)}{(1 - x)(1 + x)}\)
= \(\frac{1 + x + 2 - 2x}{1 - x^2}\)
= \(\frac{3 - x}{1 - x^2}\)
Construct a quadratic equation whose roots are \(-\frac{1}{2}\) and 2.
3x2-3x+2=0
3x2+3x-2=0
2x2+3x-2=0
2x2-3x+2=0
2x2-3x-2=0
Correct answer is E
If x = \(-\frac{1}{2}\) and 2; then
\(x + \frac{1}{2} = 0\) and \(x - 2 = 0\)
\(\implies (x + \frac{1}{2})(x - 2) = 0\)
\(x^2 - 2x + \frac{1}{2}x - 1 = 0\)
\(x^2 - \frac{3}{2}x - 1 = 0\)
\(2x^2 - 3x - 2 = 0\)
Factorize the expression 2y\(^2\) + xy - 3x\(^2\)
2y (y + x) - 3x2
(2y - x)(2y + x)
(3x - 2y(x - y)
(2y + 3x)(y - x)
(x – y)(2y + 3x)
Correct answer is D
2y\(^2\) + xy - 3x\(^2\)
2y\(^2\) + 3xy - 2xy - 3x\(^2\)
y(2y + 3x) - x(2y + 3x)
= (y - x)(2y + 3x)
Evaluate \(\log_{10} 25 + \log_{10} 32 - \log_{10} 8\)
0.2
2
100
409
490
Correct answer is B
\(\log_{10} 25 + \log_{10} 32 - \log_{10} 8\)
= \(\log_{10} (\frac{25 \times 32}{8})\)
= \(\log_{10} 100 \)
= 2
Simplify: \((\frac{16}{81})^{\frac{1}{4}}\)
8/27
1/3
4/9
2/3
-4/3
Correct answer is D
\((\frac{16}{81})^{\frac{1}{4}}\)
= \(((\frac{2}{3})^{4})^{\frac{1}{4}}\)
= \(\frac{2}{3}\)