Elective Mathematics

Question 1

1Evaluate log₁₀ 100 − log₁₀ 10.

Easy

A. 1 B. 90 C. 10 D. 2

Question 2

2Solve 9ˣ − 4(3ˣ) + 3 = 0.

Hard

A. x = 0 or 1 B. x = 1 or 3 C. x = 1 only D. x = 0 or 3

Question 3

3Evaluate log₂ 8 + log₂ 4.

Easy

A. 32 B. 6 C. 12 D. 5

Question 4

4Express log 75 in terms of log 3 and log 5.

Hard

A. log 3 × log 25 B. 2 log 3 + log 5 C. log 3 + 2 log 5 D. 3 log 5

Question 5

5Rationalise 1/√3.

Easy

A. √3 B. 3/√3 C. √3/3 D. 1/3

Question 6

6Simplify (√5 + √2)(√5 − √2).

Easy

A. 3 B. 10 C. √3 D. 7

Question 7

7Solve 5^(x + 1) = 25^(x − 1).

Hard

A. −3 B. 3 C. 1 D. 2

Question 8

8Simplify log₂ 8 + log₃ 9 − log₅ 125.

Hard

A. 2 B. 4 C. 1 D. 3

Question 9

9Evaluate 8^(2/3).

Easy

A. 5⅓ B. 4 C. 2 D. 16

Question 10

10Evaluate log₂ 64.

Easy

A. 8 B. 4 C. 32 D. 6