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.
1 cm
\(\sqrt{2}\) cm
2 cm
4 cm
Correct answer is C
The area of sector in radians = \(\frac{r^{2} \theta}{2}\)
\(3 cm^{2} = \frac{1.5 \times r^{2}}{2}\)
\(r^{2} = \frac{3 \times 2}{1.5} = 4\)
\(r = 2 cm\)
Simplify \(8^{n} \times 2^{2n} \div 4^{3n}\)
\(2^{-n}\)
\(2^{1 - n}\)
\(2^{n}\)
\(2^{n + 1}\)
Correct answer is A
\(8^{n} \times 2^{2n} \div 4^{3n} = 2^{3n} \times 2^{2n} \div 2^{6n}\)
\(2^{2n + 3n - 6n}\)
= \(2^{-n}\)
Which of the following is a singular matrix?
\(\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\)
\(\begin{pmatrix} 2 & 1 \\ 3 & 2 \end{pmatrix}\)
\(\begin{pmatrix} 3 & 8 \\ 5 & 16 \end{pmatrix}\)
\(\begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}\)
Correct answer is A
No explanation has been provided for this answer.
Simplify \(\frac{^{n}P_{4}}{^{n}C_{4}}\)
24
18
12
6
Correct answer is A
\(^{n}P_{4} = \frac{n!}{(n - 4)!}\)
\(^{n}C_{4} = \frac{n!}{(n - 4)! 4!}\)
\(\frac{^{n}P_{4}}{^{n}C_{4}} = \frac{n!}{(n - 4)!} ÷ \frac{n!}{(n - 4)! 4!}\)
= \(4! = 24\)
15
40
70
175
Correct answer is D
From the five(5) men viable for the position of the chairman, one of them must be selected.
This implies; 4 men and 3 women are open for committee membership.
7 C\(_3\) = \(\frac{7!}{3!(7 - 3)!}\) =
\(\frac{7⋅6⋅5⋅4⋅3⋅2⋅1}{3.2.1 \times 4.3.2.1}\)
= 35 \(\times\) 5 = 175