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The square root of 49 can be 7 or -7.

# Algebra - Square Roots

This Math quiz is called 'Algebra - Square Roots' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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'Square root' is often referred to as the opposite of 'square'. The square of 3 is 9 whilst the square root of 9 is 3. It might seem a little confusing at first but this Math quiz will help you sort out your squares from your square roots!

1.
The √ sign is referred to as what?
Square
Squared
Square root
Square rooted
2.
What is the square of 9?
3
6
9
81
Did you spot that we asked for the 'square' and NOT the 'square root'?
3.
What is the square root of 81?
3 or -3
6 or -6
9 or -9
12 or -12
9 x 9 = 81 AND -9 x -9 = 81
4.
What is the quickest way to find the square root of 8?
Divide 8 by 2
Multiply 8 x 2
Take 2 from 8
Use a calculator
Some square roots are not whole numbers and can be very difficult to work out. The square root of 8 is approximately 2.828427. We used a calculator to find out!
5.
You are given the two numbers '3 squared' and 'the square root of 100'. How do they relate to each other?
3 squared is the larger number
The square root of 100 is the larger number
They are both the same
There is no way of telling
The square root of 100 could be either 10 or -10 and we have no way of knowing which square root the question requires!
6.
You are given the two numbers '9 squared' and '81'. How do they relate to each other?
81 is the larger number
9 squared is the larger number
They are both the same
They are in no way related
9 x 9 = 81
7.
What is the square root of 100?
2 or -2
10 or -10
25 or -15
50 or -50
8.
Which of these numbers has a whole number as a square root?
30
32
34
36
6 x 6 = 36
9.
What is the square root of 16?
2 or -2
4 or -4
6 or -6
8 or -8
Both 4 x 4 and -4 x -4 = 16
10.
Which of these figures does not have a whole number as a square root?
25
35
49
64
Author:  Frank Evans