 # Practice - Indices and Roots - 08

Hello KS3 students! Welcome to an exciting Maths quiz on Indices and Roots. This quiz will test your Maths magician skills and show you how much of a numbers ninja you are. Enjoy exercising your brain muscles with 10 power-packed questions. Don't stress; remember: every question is a step closer to becoming an mathematics master! Good luck!
1.
What is the cube root of 64?
8
6
10
4
The cube root of 64 is 4. This because 4 x 4 x 4 = 64.
2.
How do we write '10 squared' in index form?
102
10 x 10
20
2 x 10
10 squared is written in index form as 102. The '2' is the index or power, which means multiplying 10 by itself.
3.
What number is equivalent to 23?
8
6
2
3
23 is calculated as 2 x 2 x 2 which gives the answer 8.
4.
Which of the following is a square number?
25
45
10
15
25 is a square number as it is the product of 5 squared (5 x 5).
5.
What is √ 16 ?
2
4
16
162
The square root of 16 is 4 because 4 x 4 = 16.
6.
What is the value of 32 x 33?
36
108
243
81
32 is 9 and 33 is 27. Multiplying 9 by 27 gives 243. When multiplying with same bases, you add the powers. So, 32 x 33 = 32+3 = 35 = 243.
7.
What is the value of 4-2?
-8
-2
0.0625
8
An index of -2 means finding the reciprocal of the square of the number. So, for 4-2, we work out 1 ÷ (42) which equals 0.0625. That's 116.
8.
If 104 = 10,000, what is 10-4?
-10,000
0.0001
1,000
-100
A negative power means finding the reciprocal. So, 10-4 is the same as 1104. Thus, 10-4 equals 0.0001.
9.
What is the square root of 121?
10
11
12
13
The square root of 121 is 11 because 11 x 11 equals 121.
10.
What is the value of 50?
1
0
5
None of the above
Any number raised to the power of 0 is 1. So 50 equals 1.
Author:  Graeme Haw 