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.
48
60
240
720
Correct answer is A
No explanation has been provided for this answer.
If \(^{3x}C_{2} = 15\), find the value of x?
2
4
5
6
Correct answer is A
\(^{3x}C_{2} = \frac{3x(3x - 1)(3x - 2)!}{(3x - 2)! 2!} = 15\)
\(3x(3x - 1) = 30 \implies 9x^{2} - 3x - 30 = 0\)
\(9x^{2} - 18x + 15x - 30 = 9x(x - 2) + 15(x - 2) = 0\)
\((9x + 15)(x - 2) = 0\)
x = 2.
| Marks | 5-7 | 8-10 | 11-13 | 14-16 | 17-19 | 20-22 |
| No of students | 4 | 7 | 26 | 41 | 14 | 8 |
The table above shows the distribution of marks of students in a class. Find the upper class boundary of the modal class.
13.5
16
16.5
22.5
Correct answer is C
The modal class = 14 - 16
The upper class boundary = \(\frac{16 + 17}{2} = \frac{33}{2} = 16.5\)
Find the standard deviation of the numbers 3,6,2,1,7 and 5.
2.00
2.16
2.50
2.56
Correct answer is B
| \(x\) | 3 | 6 | 2 | 1 | 7 | 5 | Total = 24 |
| \(x - \bar{x}\) | -1 | 2 | -2 | -3 | 3 | 1 | |
| \((x - \bar{x})^{2}\) | 1 | 4 | 4 | 9 | 9 | 1 | 28 |
\(\bar{x} = \frac{24}{6} = 4\)
\(S.D = \sqrt{\frac{\sum (x - \bar{x})^{2}}{n}}\)
= \(\sqrt{\frac{28}{6}} = \sqrt{4.667} = 2.16\)
In how many ways can 3 prefects be chosen out of 8 prefects?
6
24
56
336
Correct answer is C
= \(^{8}C_{3} = \frac{8!}{(8 - 3)! 3!}\)
= \(\frac{8 \times 7 \times 6}{3 \times 2}\)
= 56 ways