Further Mathematics Questions and Answers
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Differentiate \(\frac{x}{x + 1}\) with respect to x
\(\frac{1}{x + 1}\)
\(\frac{1}{(x + 1)^{2}}\)
\(\frac{1 - x}{x + 1}\)
\(\frac{1 - x}{(x + 1)^{2}}\)
Correct answer is B
\(y = \frac{x}{x + 1}\)
Using quotient rule because the function is of the form \(\frac{u(x)}{v(x)}\)
\(\frac{\mathrm d y}{\mathrm d x} = \frac{v\frac{\mathrm d u}{\mathrm d x} - u\frac{\mathrm d v}{\mathrm d x}}{v^{2}}\)
\(\frac{\mathrm d y}{\mathrm d x} = \frac{(x + 1) . 1 - x . 1}{(x + 1)^{2}}\)
= \(\frac{1}{(x + 1)^{2}}\)
3.0 seconds
4.5 seconds
5.0 seconds
9.0 seconds
Correct answer is A
\(s = ut + \frac{1}{2}gt^{2}\)
\(u = 0; s = 45m; g = 10ms^{-2}\)
\(45 = 0 + \frac{1}{2}(10)t^{2} = 5t^{2}\)
\(t^{2} = \frac{45}{5} = 9\)
\(t = 3.0s\)
\(0 < r \leq 1\)
\(-1 \leq r < 1\)
\(-1 < r \leq 0\)
\(-1 \leq r \leq 1\)
Correct answer is D
No explanation has been provided for this answer.
8.25
8.50
9.00
9.17
Correct answer is A
Mean \(\bar{x}\) = \(\frac{3 + 7 + 6 + 2 + 8 + 5 + 9 + 1 + 4 + 10}{10} \)
= \(\frac{55}{10} = 5.50\)
| \(x\) | 3 | 7 | 6 | 2 | 8 | 5 | 9 | 1 | 4 | 10 | Total |
| \(x - \bar{x}\) | -2.5 | 1.5 | 0.5 | -3.5 | 2.5 | -0.5 | 3.5 | -4.5 | -1.5 | 4.5 | |
| \((x - \bar{x})^{2}\) | 6.25 | 2.25 | 0.25 | 12.25 | 6.25 | 0.25 | 12.25 | 20.25 | 2.25 | 20.25 | 82.5 |
Variance = \(\frac{\sum (x - \bar{x})^{2}}{n}\)
= \(\frac{82.5}{10}\)
= 8.25
4.50
5.50
6.50
6.75
Correct answer is B
Mean \(\bar{x}\) = \(\frac{3 + 7 + 6 + 2 + 8 + 5 + 9 + 1 + 4 + 10}{10} \)
= \(\frac{55}{10} = 5.50\)