Indices, Logarithm, And Surds Jamb Mathematics Past Questions
Question 1
\((1.28 \times 10^{4}) \div (6.4 \times 10^{2})\) equals
- A. \(2 \times 10^{-5}\)
- B. \(2 \times 10^{-1}\)
- C. \(2 \times 10^{1}\)
- D. \(2 \times 10^{-4}\)
Question 2
\((3.2)^2 -(1.8)^2\) equals
- A. 7.0
- B. 2.56
- C. 13.48
- D. 2.0
- E. 0.07
Question 3
Rationalize \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} - \sqrt{3}}\)
- A. \(-5 - 2\sqrt{6}\)
- B. \(-5 + 3\sqrt{2}\)
- C. \(5 - 2\sqrt{3}\)
- D. \(5 + 2\sqrt{6}\)
Question 4
If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X.
- A. \(\frac{1}{2}\)X
- B. X-\(\frac{1}{4}\)
- C. X-\(\frac{1}{3}\)
- D. X-\(\frac{1}{2}\)
Question 5
If \(\frac{(2\sqrt{3}-\sqrt{2})}{(\sqrt{3}+2\sqrt{2})} = m +n\sqrt{6}\), find the values of m and n respectively.
- A. 1, -2
- B. -2, 1
- C. \(\frac{-2}{5}\), 1
- D. 2, 3/5
- E. -2, 1
