Jamb Mathematics 2013 Past Questions and Answers

Question 46:

• JAMB 2013

If \(\tan \theta = \frac{3}{4}\), find the value of \(\sin \theta + \cos \theta\).

A. \(1\frac{1}{3}\)
B. \(1\frac{2}{3}\)
C. \(1\frac{3}{5}\)
D. \(1\frac{2}{5}\)

Question 47:

• JAMB 2013

Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)

A. \(2x^{2} - \frac{1}{x} + k\)
B. \(-\frac{1}{2x^{2}} - \frac{1}{x} + k\)
C. \(-\frac{x^{2}}{2} - \frac{1}{x} + k\)
D. \(x^{2} - \frac{1}{x} + k\)

Question 48:

• JAMB 2013

Evaluate \(\int_{0} ^{\frac{\pi}{2}} \sin x \mathrm d x\)

A. -2
B. 2
C. 1
D. -1

Question 49:

• JAMB 2013

Convert 27₁₀ to another number in base three

A. 1001₃
B. 1010₃
C. 1100₃
D. 1000₃

Question 50:

• JAMB 2013

Convert 27₁₀ to another number in base three

A. 1001₃
B. 1010₃
C. 1100₃
D. 1000₃