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Practice - Indices and Roots - 01

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 is 2-3?
-6
18
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)
2.
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.
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 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.
5.
What does 71 equal?
0
1
7
14
Any number raised to the power of 1 is always equal to the number itself. So, 71 is equal to 7.
6.
What does 50 equal?
0
1
5
10
Any number raised to the power of 0 is always 1.
7.
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.
8.
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.
9.
What is 10 squared?
10
20
100
200
Squaring a number means multiplying it by itself. Therefore, 10 x 10 equals 100.
10.
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.
Author:  Graeme Haw

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