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.
\(\frac{\sqrt{2}}{5}\)
\(5\sqrt{2}\)
\(2\sqrt{5}\)
\(\frac{5\sqrt{2}}{2}\)
Correct answer is A
\(F = F_{1} + F_{2}\)
\((2i - 5j) + (-3i + 4j) = (-i - j)\)
\(F = ma \implies (-1, -1) = 5a\)
\(a = (-\frac{1}{5}, -\frac{1}{5})\)
\(|a| = \sqrt{(\frac{-1}{5})^2 + (\frac{-1}{5})^2} = \sqrt{2}{25}\)
\(|a| = \frac{\sqrt{2}}{5} ms^{-2}\)
\(\frac{1}{24}\)
\(\frac{1}{6}\)
\(\frac{2}{13}\)
\(\frac{1}{4}\)
Correct answer is A
The number of arrangements for the 4 letters = \(^{4}P_{4} = \frac{4!}{(4 - 4)!}\)
\(4! = 24\)
Alphabetical order is just 1 of the arrangements for the letters
= \(\frac{1}{24}\)
Find the direction cosines of the vector \(4i - 3j\).
\(\frac{9}{10}, \frac{27}{10}\)
\(\frac{17}{27}, -\frac{17}{27}\)
\(\frac{4}{5}, -\frac{3}{5}\)
\(\frac{4}{7}, \frac{-3}{7}\)
Correct answer is C
Given \(V = xi +yj\), the direction cosines are \(\frac{x}{|V|}, \frac{y}{|V|}\).
\(|4i - 3j| = \sqrt{4^{2} + (-3)^{2}} = \sqrt{25} = 5\)
Direction cosines = \(\frac{4}{5}, \frac{-3}{5}\).
-2i - 10j
-2i + 2j
4i - j
4i + j
Correct answer is C
\(\overrightarrow{OA} = (3, 4)\)
\(\overrightarrow{OB} = (5, -6)\)
\(\overrightarrow{OM} = (\frac{3 + 5}{2}, \frac{4 + (-6)}{2})\)
= \((4, -1) = 4i - j\)
Find the least value of n for which \(^{3n}C_{2} > 0, n \in R\)
\(\frac{1}{3}\)
\(\frac{1}{6}\)
\(\frac{2}{3}\)
1
Correct answer is C
\(^{3n}C_{2} > 0 \implies \frac{3n!}{(3n - 2)! 2!} > 0\)
\(\frac{3n(3n - 1)(3n - 2)!}{(3n - 2)! 2} > 0\)
\(\frac{3n(3n - 1)}{2} > 0\)
\(3n(3n - 1) > 0 \implies n > 0; n > \frac{1}{3}\)
The least number in the option that satisfies \(n > 0; n > \frac{1}{3} = \frac{2}{3}\)