 # Practice - Indices and Roots - 06

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: 122
144
124
134
154
12 squared equals 144.
3.
Calculate: 53 + 32
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: 82 x 42
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 62?
12
36
136
112
The inverse of a number is 1 divided by the number. Therefore, the inverse of 6 squared (which is 36) is 136.
8.
Calculate the expression: (32 x 23) ÷ 62
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 x2 = 81, what is x?
7
8
9
10
The square root of 81 is 9, hence x is 9.
10.
If 4n = 64, what is n?
2
3
4
5
4 cubed equals 64, so n would be 3.
Author:  Graeme Haw 