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.
| Marks | 5 - 7 | 8 - 10 | 11 - 13 | 14 - 16 | 17 - 19 | 20 - 22 |
| Frequency | 4 | 7 | 26 | 41 | 14 | 8 |
The table above shows the marks obtained by 100 pupils in a test. Find the probability that a student picked at random scored at least 14 marks.
0.22
0.41
0.49
0.63
Correct answer is D
No explanation has been provided for this answer.
| Marks | 5 - 7 | 8 - 10 | 11 - 13 | 14 - 16 | 17 - 19 | 20 - 22 |
| Frequency | 4 | 7 | 26 | 41 | 14 | 8 |
The table above shows the marks obtained by 100 pupils in a test. Find the upper class boundary of the class containing the third quartile.
13.0
16.0
16.5
22.5
Correct answer is C
The third quartile can be found in the \((\frac{3N}{4})^{th}\) position
= \((\frac{3 \times 100}{4})^{th}\) position
This is found in the class 14 - 16.
The upper class boundary = 16.5
-11
-9
-3
4
Correct answer is C
Using the remainder theorem, the remainder when a polynomial \(ax^{2} + bx + c\) is divided by \((x - a)\) is equal to \(f(a)\).
\(2x^{3} + 3x^{2} + qx - 1\) divided by \((x + 2)\), the remainder = \(f(-2)\)
\(\implies f(-2) = f(1)\)
\(f(-2) = 2(-2^{3}) + 3(-2^{2}) + q(-2) - 1 = -16 + 12 - 2q - 1 = -5 - 2q\)
\(f(1) = 2(1^{3}) + 3(1^{2}) + q(1) - 1 = 2 + 3 + q - 1 = 4 + q\)
\(4 + q = -5 -2q \implies 4 + 5 = -2q - q = -3q\)
\(q = -3\)
Find the value of p for which \(x^{2} - x + p\) becomes a perfect square.
\(-\frac{1}{2}\)
\(\frac{1}{4}\)
\(\frac{1}{2}\)
\(1\)
Correct answer is B
The equation \(ax^{2} + bx + c\) is a perfect square if \(b^{2} = 4ac\).
\(x^{2} - x + p\)
\((-1)^{2} = 4(1)(p)\)
\(1 = 4p \implies p = \frac{1}{4}\)
\(k = \frac{8}{25}\)
\(k = \frac{25}{8}\)
\(k < \frac{25}{8}\)
\(k > \frac{25}{8}\)
Correct answer is C
No explanation has been provided for this answer.