Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Square Roots (Questions)

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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 root of 16?
[ ] 2 or -2
[ ] 4 or -4
[ ] 6 or -6
[ ] 8 or -8
3. What is the square root of 81?
[ ] 3 or -3
[ ] 6 or -6
[ ] 9 or -9
[ ] 12 or -12
4. Which of these numbers has a whole number as a square root?
[ ] 30
[ ] 32
[ ] 34
[ ] 36
5. Which of these figures does not have a whole number as a square root?
[ ] 25
[ ] 35
[ ] 49
[ ] 64
6. 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
7. What is the square of 9?
[ ] 3
[ ] 6
[ ] 9
[ ] 81
8. What is the square root of 100?
[ ] 2 or -2
[ ] 10 or -10
[ ] 25 or -15
[ ] 50 or -50
9. 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
10. 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
Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Square Roots (Answers)
1. The √ sign is referred to as what?
[ ] Square
[ ] Squared
[x] Square root
[ ] Square rooted
2. What is the square root of 16?
[ ] 2 or -2
[x] 4 or -4
[ ] 6 or -6
[ ] 8 or -8
Both 4 x 4 and -4 x -4 = 16
3. What is the square root of 81?
[ ] 3 or -3
[ ] 6 or -6
[x] 9 or -9
[ ] 12 or -12
9 x 9 = 81 AND -9 x -9 = 81
4. Which of these numbers has a whole number as a square root?
[ ] 30
[ ] 32
[ ] 34
[x] 36
6 x 6 = 36
5. Which of these figures does not have a whole number as a square root?
[ ] 25
[x] 35
[ ] 49
[ ] 64
6. What is the quickest way to find the square root of 8?
[ ] Divide 8 by 2
[ ] Multiply 8 x 2
[ ] Take 2 from 8
[x] 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!
7. What is the square of 9?
[ ] 3
[ ] 6
[ ] 9
[x] 81
Did you spot that we asked for the 'square' and NOT the 'square root'?
8. What is the square root of 100?
[ ] 2 or -2
[x] 10 or -10
[ ] 25 or -15
[ ] 50 or -50
9. 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
[x] They are both the same
[ ] They are in no way related
9 x 9 = 81
10. 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
[x] 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!