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.
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
\(F = F \cos \theta i + F \sin \theta j\)
\(r = (12, 210°) = 12 \cos 210 i + 12 \sin 210 j\)
= \(- 6\sqrt{3} i - 6j\)
= \(6(-\sqrt{3} i - j)\)
| Marks | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| No of students | 5 | 7 | 9 | 6 | 3 | 6 | 4 |
The table above shows the distribution of marks by some candidates in a test. If a student is selected at random, what is the probability that she scored at least 6 marks?
\(\frac{3}{40}\)
\(\frac{1}{4}\)
\(\frac{13}{40}\)
\(\frac{27}{40}\)
Correct answer is C
No explanation has been provided for this answer.
| Marks | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| No of students | 5 | 7 | 9 | 6 | 3 | 6 | 4 |
The table above shows the distribution of marks by some candidates in a test. Find, correct to one decimal place, the mean of the distribution.
5.5
5.3
5.2
4.7
Correct answer is D
| Marks(\(x\) | 2 | 3 | 4 | 5 | 6 | 7 | 8 | Total |
| Frequency \(f\) | 5 | 7 | 9 | 6 | 3 | 6 | 4 | 40 |
| \(fx\) | 10 | 21 | 36 | 30 | 18 | 42 | 32 | 189 |
Mean \(\bar{x} = \frac{\sum fx}{\sum f} = \frac{189}{40}\)
= \(4.725 \approxeq 4.7\)
| Marks | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| No of students | 5 | 7 | 9 | 6 | 3 | 6 | 4 |
The table above shows the distribution of marks by some candidates in a test. What is the median score?
3.5
4.0
4.5
5.0
Correct answer is B
No explanation has been provided for this answer.
(3 N, 020°)
(3 N, 200°)
(17 N, 020°)
(17 N, 200°)
Correct answer is A
No explanation has been provided for this answer.