Strike your best mathematician pose, KS3 students - it's time for a fun, challenging, and enlightening maths quest! This quiz focuses on indices and roots, fundamentals of mathematics, which will test your understanding and application of the laws of exponents and radicals. Sharpen your pencils and your minds - let's tackle these ten exciting problems!

1.

What is the cube root of 27?

6

5

4

3

The cube root of a number is a value which when multiplied by itself three times gives the original number. In the case of 27, 3 x 3 x 3 = 27, making 3 the cube root.

2.

What is the result of 2^{3}?

6

8

9

1

By definition, 2^{3} means that you multiply 2 by itself three times, i.e., 2 x 2 x 2 = 8.

3.

What is the square of 5?

10

25

30

15

The square of a number is that number multiplied by itself. So, 5 x 5 = 25.

4.

What is 4^{0} equal to?

0

1

4

Undefined

According to the rule of indices, any number raised to the power of 0 equals 1.

5.

What is the cube of 3?

9

27

18

21

The cube of a number is that number multiplied by itself three times. That means 3 x 3 x 3 = 27.

6.

What is the fourth root of 16?

4

3

2

1

A fourth root is a number which when multiplied by itself four times gives the original number. In this case, 2 x 2 x 2 x 2 = 16, making 2 the fourth root.

7.

What is the square root of 81?

8

9

10

11

A square root is a number which when multiplied by itself gives the original number. In this case, 9 x 9 equals 81, making 9 the square root.

8.

What is the square root of 121?

11

12

13

14

The square root of a number is a value which when multiplied by itself gives the original number. In the case of 121, 11 x 11 equals 121.

9.

What is 5^{0} equal to?

0

1

5

Undefined

By the definition of indices, any number raised to the power of 0 equals 1.

10.

What is 2^{4}?

8

4

6

16

When you raise 2 to power 4, it involves multiplying 2 by itself four times, i.e., 2 x 2 x 2 x 2 = 16.