Waec Further Mathematics Past Questions For Year 2011
Question 21
The mean of 2, 5, (x + 2), 7 and 9 is 6. Find the median.
- A. 5.5
- B. 6.0
- C. 6.5
- D. 7.0
Question 22
Determine the coefficient of \(x^{2}\) in the expansion of \((a + 3x)^{6}\).
- A. \(18a^{2}\)
- B. \(45a^{4}\)
- C. \(135a^{4}\)
- D. \(1215a^{2}\)
Question 23
Find the equation of a circle with centre (-3, -8) and radius \(4\sqrt{6}\).
- A. \(x^{2} - y^{2} - 6x + 16y + 23 = 0\)
- B. \(x^{2} + y^{2} + 6x + 16y - 23 = 0\)
- C. \(x^{2} + y^{2} + 6x - 16y + 23 = 0\)
- D. \(x^{2} + y^{2} - 6x + 16y + 23 = 0\)
Question 24
Evaluate \(\frac{1}{1 - \sin 60°}\), leaving your answer in surd form.
- A. \(1 - \sqrt{3}\)
- B. \(2 - \sqrt{3}\)
- C. \(4 - 2\sqrt{3}\)
- D. \(4 + 2\sqrt{3}\)
Question 25
Four doctors and two nurses are to sit round a circular table. In how many ways can this be done if the nurses are to sit together?
- A. 48
- B. 60
- C. 240
- D. 720