Waec 2008 FURTHER MATHEMATICS Past Questions And Answers
Evaluate \(\int_{1}^{2} (2 + 2x - 3x^{2}) \mathrm {d} x\).
- A. -2
- B. 2
- C. 8
- D. 10
Given that \(f '(x) = 3x^{2} - 6x + 1\) and f(3) = 5, find f(x).
- A. \(f(x) = x^{3} - 3x^{2} + x + 20\)
- B. \(f(x) = x^{3} - 3x^{2} + x + 31\)
- C. \(f(x) = x^{3} - 3x^{2} + x + 2\)
- D. \(f(x) = x^{3} - 3x^{2} + x - 13\)
A rectangle has a perimeter of 24m. If its area is to be maximum, find its dimension.
- A. 12, 12
- B. 6, 6
- C. 4, 8
- D. 9, 3
A binary operation ,*, is defined on the set R, of real numbers by \(a * b = a^{2} + b + ab\). Find the value of x for which \(5 * x = 37\).
- A. 7
- B. 2
- C. -2
- D. -7
The table shows the distribution of marks obtained by some candidates in a test.
| Marks | 10-14 | 15-24 | 25-29 | 30-39 | 40-44 | 45-49 |
| No of candidates | 14 | 30 | 22 | 18 | 12 | 4 |
Draw a histogram for the distribution.
View Discussion (0)WAEC 2008 THEORY.jpg)
Express \(\frac{7\pi}{6}\) radians in degrees.
- A. 315°
- B. 210°
- C. 105°
- D. 75°
If \(\sin A = \frac{3}{5}\) and \(\cos B = \frac{15}{17}\), where A is an obtuse angle and B is acute, find the value of \(\cos (A + B)\).
View Discussion (0)WAEC 2008 THEORY.jpg)
Two statements are represented by p and q as follows:
p : He is brilliant; q : He is regular in class
Which of the following symbols represent "He is regular in class but dull"?
- A. \(q \vee \sim p\)
- B. \(q \vee \sim p\)
- C. \(\sim q \vee \sim p\)
- D. \(\sim q \vee \sim p\)
Find the value of the constant k for which \(a = 4 i - k j\) and \(b = 3 i + 8 j\) are perpendicular.
- A. \(\frac{2}{3}\)
- B. 2
- C. 3
- D. \(\frac{3}{2}\)
If \(f(x) = 2x^{2} - 3x - 1\), find the value of x for which f(x) is minimum.
- A. \(\frac{3}{2}\)
- B. \(\frac{4}{3}\)
- C. \(\frac{3}{4}\)
- D. \(\frac{2}{3}\)