Waec Further Mathematics Past Questions For Year 2010
Question 11
If \(\begin{vmatrix} 3 & x \\ 2 & x - 2 \end{vmatrix} = -2\), find the value of x.
- A. -8
- B. 4
- C. -4
- D. 8
Question 12
Evaluate \(\int_{1}^{2} \frac{4}{x^{3}} \mathrm {d} x\)
- A. \(-1\frac{1}{2}\)
- B. \(-\frac{15}{16}\)
- C. \(\frac{15}{16}\)
- D. \(1\frac{1}{2}\)
Question 13
Calculate, correct to one decimal place, the acute angle between the lines 3x - 4y + 5 = 0 and 2x + 3y - 1 = 0.
- A. 70.6°
- B. 50.2°
- C. 39.8°
- D. 19.4°
Question 14
If \(y = 2(2x + \sqrt{x})^{2}\), find \(\frac{\mathrm d y}{\mathrm d x}\).
- A. \(2\sqrt{x}(2x + \sqrt{2})\)
- B. \(4(2x + \sqrt{x})(2 + \frac{1}{2\sqrt{x}})\)
- C. \(4(2x + \sqrt{x})(2 + \sqrt{x})\)
- D. \(8(2x + \sqrt{x})(2 + \sqrt{x})\)
Question 15
Calculate, correct to one decimal place, the length of the line joining points X(3, 5) and Y(5, 1).
- A. 4.0
- B. 4.2
- C. 4.5
- D. 5.0
