Indices, Logarithms and Surds - Jamb Mathematics Past Questions and Answers

Question 6:

• JAMB 2019

Find the value of k in the equation: \(\sqrt{28} + \sqrt{112} - \sqrt{k} = \sqrt{175}\)

A. \(\sqrt{28}\)
B. 7
C. 28
D. \(\sqrt{7}\)

Question 7:

• JAMB 2019

Evaluate \(\frac{2\log_{3} 9 \times \log_{3} 81^{-2}}{\log_{5} 625}\)

A. 4
B. -32
C. -8
D. 16

Question 8:

• JAMB 2019

Evaluate \(\frac{2\sin 30 + 5\tan 60}{\sin 60}\), leaving your answer in surd form.

A. \(\frac{2\sqrt{3}}{3} + 10\)
B. \(\frac{3\sqrt{2} - 1}{5}\)
C. \(\frac{3\sqrt{2} + 1}{5}\)
D. \(\frac{2\sqrt{3}}{3} - 10\)

Question 9:

• JAMB 2018

Evaluate (2√3 - 4) (2√3 + 4)

A. -4
B. -2
C. 2
D. 4

Question 10:

• JAMB 2018

Evaluate log\(_2\) 8 — log\(_3\) \(\frac{1}{9}\)

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