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

This Math quiz is called 'Algebra - Square Numbers' 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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While studying Algebra in your Math classes, you will learn that a square number is the result of multiplying a number by itself. As an example 52 means 5 x 5.

See how much you remember from your lessons by playing the following quiz.

1. How would you refer to 32?
 [ ] Large 3, little 2 [ ] 3, superscript 2 [ ] 3 multiplied by 2 [ ] 3 squared
2. What number is 32?
 [ ] 3 [ ] 6 [ ] 9 [ ] 12
3. What is 12?
 [ ] 0 [ ] 1 [ ] 2 [ ] 3
4. What is 02?
 [ ] 0 [ ] 2 [ ] 4 [ ] 8
5. The roof of a rabbit hutch is completely tiled. There are 7 tiles across and 7 tiles down. How many tiles are there altogether?
 [ ] 14 [ ] 28 [ ] 42 [ ] 49
6. A patch of garden is 10 meters x 10 meters. What is its area expressed in square meters?
 [ ] 210 [ ] 102 [ ] 2 x 10 [ ] 10 x 2
7. What is the next square number after 9?
 [ ] 12 [ ] 14 [ ] 16 [ ] 18
8. What is the square number that comes immediately before 36?
 [ ] 10 [ ] 15 [ ] 20 [ ] 25
9. Is the number 13,692 a square number?
 [ ] Yes [ ] No [ ] Only in algebra [ ] Always, except in algebra
10. What is the missing square number in the sequence 1, 4, 9, 16, 25, 36, 49, ......., 81?
 [ ] 56 [ ] 60 [ ] 64 [ ] 68 Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Square Numbers (Answers)
1. How would you refer to 32?
 [ ] Large 3, little 2 [ ] 3, superscript 2 [ ] 3 multiplied by 2 [x] 3 squared
You might say '3 to the power of 2' but it is more usual to say '3 squared'
2. What number is 32?
 [ ] 3 [ ] 6 [x] 9 [ ] 12
Multiply 3 by itself (3) and you get 9
3. What is 12?
 [ ] 0 [x] 1 [ ] 2 [ ] 3
1 x 1 = 1
4. What is 02?
 [x] 0 [ ] 2 [ ] 4 [ ] 8
No matter how many times you multiply 0 x 0 it will still be 0!
5. The roof of a rabbit hutch is completely tiled. There are 7 tiles across and 7 tiles down. How many tiles are there altogether?
 [ ] 14 [ ] 28 [ ] 42 [x] 49
Can you see why the number of tiles might be referred to as 72?
6. A patch of garden is 10 meters x 10 meters. What is its area expressed in square meters?
 [ ] 210 [x] 102 [ ] 2 x 10 [ ] 10 x 2
7. What is the next square number after 9?
 [ ] 12 [ ] 14 [x] 16 [ ] 18
3 x 3 is 9; 4 x 4 is 16
8. What is the square number that comes immediately before 36?
 [ ] 10 [ ] 15 [ ] 20 [x] 25
6 x 6 is 36; 5 x 5 is 25
9. Is the number 13,692 a square number?
 [ ] Yes [x] No [ ] Only in algebra [ ] Always, except in algebra
A square number (also called a perfect square) is a positive whole number that is formed by multiplying a whole number with itself. For example, 16 = 4 x 4; 1 = 1 x 1; 1,681 = 41 x 41, and so on
10. What is the missing square number in the sequence 1, 4, 9, 16, 25, 36, 49, ......., 81?
 [ ] 56 [ ] 60 [x] 64 [ ] 68
64 is 8 x 8; on one side it has 7 x 7 (49) and on the other side it has 9 x 9 (81)