Core Mathematics

Question 1

1Evaluate 27^(1/3).

Easy

A. 1/3 B. 81 C. 9 D. 3

Question 2

2Solve 3^x = 9. x = ___

Easy

Your answer (fill in the blank)

Question 3

3Simplify (2x³)².

Easy

A. 4x⁵ B. 4x⁶ C. 2x⁹ D. 2x⁶

Question 4

4Evaluate log₃ 243.

Easy

A. 6 B. 5 C. 81 D. 15

Question 5

5Solve 3^x = 27. x = ___

Easy

Your answer (fill in the blank)

Question 6

6Evaluate 8^(1/3).

Medium

A. 2.6667 B. 3 C. 4 D. 2

Question 7

7Evaluate 8^(2/3).

Medium

A. 5.3333 B. 8 C. 4 D. 6

Question 8

8a⁰ = 1 for any non-zero a.

Easy

A. True B. False

Question 9

9Solve 3^x = 81. x = ___

Easy

Your answer (fill in the blank)

Question 10

10Simplify (x⁵ × x⁴) ÷ x⁵.

Medium

A. x¹⁴ B. x⁴ C. x⁵ D. x²⁰