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.
\(2\sqrt{2}\)
\(\sqrt{13}\)
\(5\)
\(\sqrt{29}\)
Correct answer is D
\(p = \begin{pmatrix} 2 \\ -2 \end{pmatrix} , q = \begin{pmatrix} 3 \\ 4 \end{pmatrix}\)
\(\frac{1}{2}p = \begin{pmatrix} 1 \\ -1 \end{pmatrix}\)
\(q - \frac{1}{2}p = \begin{pmatrix} 3 \\ 4 \end{pmatrix} - \begin{pmatrix} 1 \\ -1 \end{pmatrix} = \begin{pmatrix} 2 \\ 5 \end{pmatrix}\)
\(|q - \frac{1}{2}p| = \sqrt{2^{2} + 5^{2}} = \sqrt{29}\)
If n items are arranged two at a time, the number obtained is 20. Find the value of n.
5
10
15
40
Correct answer is A
\(^{n}P_{2} = \frac{n!}{(n - 2)!} = 20 \)
\(\frac{n(n - 1)(n - 2)!}{(n - 2)!} = 20\)
\(n(n - 1) = 20 \implies n^{2} - n - 20 = 0\)
\(n^{2} - 5n + 4n - 20 = 0\)
\(n(n - 5) + 4(n - 5) = 0\)
\(n = \text{5 or -4}\)
\(n = 5\)
50 m
250 m
350 m
500 m
Correct answer is B
\(s = ut + \frac{1}{2} at^{2}\)
\(u = 0, t = 10 secs, a = 5 ms^{-2}\)
\(s = 0 + \frac{1}{2} 5 \times 10^{2}\)
\(s = 250 m\)
40
25
15
10
Correct answer is C
The first 6 questions can only be selected in 1 way.
The remaining 4 questions can be selected in \(^{6}C_{4}\) ways.
= \(\frac{6!}{(6 - 4)! 4!} = 15\)
Express \(r = (12, 210°)\) in the form \(a i + b j\).
\(6(-i + \sqrt{3} j)\)
\(6(-\sqrt{3} i - j)\)
\(6(i - \sqrt{3} j)\)
\(6(i + \sqrt{3} j)\)
Correct answer is B
\(F = F \cos \theta i + F \sin \theta j\)
\(r = (12, 210°) = 12 \cos 210 i + 12 \sin 210 j\)
= \(- 6\sqrt{3} i - 6j\)
= \(6(-\sqrt{3} i - j)\)