Hello there, Maths enthusiasts! We've got a fun-packed, brain-tickling quiz for you today. This one is all about Indices and Roots – two essential components of Maths that make arithmetic operations easier. It's got a mix of easy, tricky and 'wait, let me think' type questions! So give your calculators a break, put on your thinking caps and get ready for some number crunching fun!

1.

What is √ 225 ?

10

12

15

20

15 squared equals 225, hence the square root of 225 is 15.

2.

Calculate the expression: 12^{2}

144

124

134

154

12 squared equals 144.

3.

Calculate: 5^{3} + 3^{2}

134

144

124

130

5 cubed is 125, and 3 squared is 9. Add them together and we get 134.

4.

What is the cubed root of 64?

3

2

8

4

The cubed root of a number is a value that, when multiplied by itself three times, shows the original number. So, 4 x 4 x 4 equals 64.

5.

Calculate the expression: 8^{2} x 4^{2}

268

1,024

512

768

8 squared is 64 and 4 squared is 16. If you multiply 64 and 16, you get 1,024.

6.

What is the square root of 256?

13

16

20

18

The square root of a number is a value that, when multiplied by itself, gives the original number. So, 16 x 16 equals 256.

7.

What is the inverse of 6^{2}?

12

36

The inverse of a number is 1 divided by the number. Therefore, the inverse of 6 squared (which is 36) is ^{1}⁄_{36}.

8.

Calculate the expression: (3^{2} x 2^{3}) ÷ 6^{2}

0

1

2

3

3 squared is 9, 2 cubed is 8; multiply those you get 72. 6 squared is 36. So, 72 ÷ 36 = 2.

9.

If x^{2} = 81, what is x?

7

8

9

10

The square root of 81 is 9, hence x is 9.

10.

If 4^{n} = 64, what is n?

2

3

4

5

4 cubed equals 64, so n would be 3.