Mathematics Past Questions And Answers
The probability that a student will graduate from college is 0.4. If 3 students are selected from the college, what is the probability that at least one student will graduate?
- A. 0.06
- B. 0.22
- C. 0.78
- D. 0.80
What is the coordinate of the centre of the circle \(5x^{2} + 5y^{2} - 15x + 25y - 3 = 0\)?
- A. \((\frac{15}{2}, -\frac{25}{2})\)
- B. \((\frac{3}{2}, -\frac{5}{2})\)
- C. \((-\frac{3}{2}, \frac{5}{2})\)
- D. \((-\frac{15}{2}, \frac{25}{2})\)
Which of the following figures have one line of symmetry only? I. Isosceles triangle II. Rhombus III. Kite
- A. I and II only
- B. II and III only
- C. I and III only
- D. I, II, and III
Find the area bounded by the curve y = 3x\(^2\) - 2x + 1, the ordinates x = 1 and x = 3 and the x-axis.
- A. 27°
- B. 30°
- C. 54°
- D. 108°
The mean age of 15 pupils in a class is 14.2 years. One new pupil joined the class and the mean changed to 14.1 years. Calculate the age of the new pupil.
- A. 12.4 years
- B. 12.6 years
- C. 13.2 years
- D. 14.1 years
If the total surface area of a solid hemisphere is equal to its volume, find the radius
- A. 3.0cm
- B. 4.5cm
- C. 5.0cm
- D. 9.0cm
The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?
- A. \(\frac{5√3m}{3}\)
- B. 5√3m
- C. 10√3m
- D. \(\frac{10√3m}{3}\)
The angle between latitudes 30°S and 13°N is
- A. 17°
- B. 33°
- C. 43°
- D. 53°
(a) The roots of the equation \(x^{2} + mx + 11 = 0\) are \(\alpha\) and \(\beta\), where m is a constant. If \(\alpha^{2} + \beta^{2} = 27\), find the values of m.
(b) The line \(2x + 3y = 1\) intersects the circle \(2x^{2} + 2y^{2} + 4x + 9y - 9 = 0\) at points P and Q where Q lies in the fourth quadrant. Find the coordinates of P and Q.
View Discussion (0)WAEC 2007 THEORYCalculate the probability that the product of two numbers selected at random with replacement from the set {-5,-2,4, 8} is positive
- A. \(\frac{2}{3}\)
- B. \(\frac{1}{2}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{1}{6}\)