Welcome to our Brain-Boosting Indices and Roots Quiz! We've designed these tricky maths questions for you, fabulous KS3 students, to test your understanding on indices and roots. Let's see whether you are already a master or if you've got a bit of studying to do. Sharpen your pencils, muster your maths mojo, and let's get quizzing!

1.

What does 7^{1} equal?

0

1

7

14

2.

What is 4 cubed?

8

16

32

64

Cubing a number means multiplying it by itself twice. Therefore, 4 x 4 x 4 equals 64.

3.

What is the square root of 81?

7

8

9

10

The square root of a number is a value that, when multiplied by itself, gives the original number. So, 9 x 9 equals 81.

4.

What does 5^{0} equal?

0

1

5

10

Any number raised to the power of 0 is always 1.

5.

What is 2^{-3}?

-6

6

8

A negative exponent means the inverse or reciprocal. So, 2^{-3} is equivalent to 1 ÷ 2 ÷ 2 ÷ 2 (3 divisions as the exponent is 3, and divided by 2 as the integer is 2)

6.

What is the cube root of 27?

2

3

4

5

The cube root of a number is a value that, when multiplied by itself twice, gives the original number. So, 3 x 3 x 3 = 27.

7.

What is 10 squared?

10

20

100

200

Squaring a number means multiplying it by itself. Therefore, 10 x 10 equals 100.

8.

What is the square root of 64?

6

7

8

9

The square root of a number is a value that, when multiplied by itself, gives the original number. So, 8 x 8 equals 64.

9.

What is the cube root of 125?

3

4

5

6

The cube root of a number is a value that, when multiplied by itself twice, gives the original number. So, 5 x 5 x 5 equals 125.

10.

What is 3 to the power of 4?

27

54

81

125

Raising a number to a power means multiplying it by itself for the number of times of the power. Therefore, 3 x 3 x 3 x 3 = 81.

^{1}is equal to 7.