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

Question 151:

• JAMB 2005

Evaluate \(\frac{(81^{\frac{3}{4}}-27^{\frac{1}{3}})}{3 \times 2^3}\)

A. 3
B. 1
C. 1/3
D. 1/8

Question 152:

• JAMB 2005

If Log₁₀2 = 0.3010 and Log₁₀3 = 0.4771, evaluate Log₁₀4.5

A. 0.9542
B. 0.6532
C. 0.4771
D. 0.3010

Question 153:

• JAMB 2005

Simplify \(\frac{(√12-√3)}{(√12+√3)}\)

A. Zero
B. 1/3
C. 3/5
D. 1

Question 154:

• JAMB 2006

Calculate the logarithm to base 9 of 3^-4 * 9² * (81)^-1

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

Question 155:

• JAMB 2006

Evaluate \(\frac{2}{6-5\sqrt{3}}\)

A. \(-\left(\frac{12}{39}-\frac{10\sqrt{3}}{39}\right)\)
B. \(\frac{12}{39}-\frac{10\sqrt{3}}{39}\)
C. \(-\left(\frac{12}{39}+\frac{10\sqrt{3}}{39}\right)\)
D. \(\frac{12}{39}+\frac{10\sqrt{3}}{39}\)