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

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 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!