ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement
Study concepts, example questions & explanations for ISEE Middle Level Math
All ISEE Middle Level Math Resources
Example Questions
Example Question #20 : How To Find The Perimeter Of Square
The perimeter of a square is 56in. Find the length of one side.
To find the perimeter of a square, we use this formula
where a is the length of one side. A square has 4 equal sides. That is why we multiply the length of one side by 4. To find the length of one side, we will solve for a.
Now, we know the perimeter of the square is 56in. So, we can substitute. We get
Therefore, the length of one side of the square is 14in.
Example Question #111 : Geometry
Find the perimeter of a square with a width of 9in.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the width of the square is 9in. Because it is a square, all sides are equal. Therefore, all sides are 9in. So, we can substitute.
Example Question #112 : Plane Geometry
Find the perimeter of a square with a width of 9cm.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the width of the square is 9cm. Because it is a square, all sides are equal. Therefore, all sides are 9cm. So, we can substitute. We get
Example Question #21 : Quadrilaterals
Find the perimeter of a square with a length of 6in.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the length of the square is 6in. Because it is a square, all sides are equal. Therefore, all sides are 6in. So, we can substitute. We get
Example Question #21 : Squares
Find the perimeter of a square with a length of 14cm.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the width of the square is 14cm. Because it is a square, all sides are equal. Therefore, all sides are 14cm. So, we get
Example Question #121 : Plane Geometry
Find the perimeter of a square that has a length of 13in.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the length of the square is 13in. Because it is a square, all sides are equal. Therefore, all sides are 13in.
Knowing this, we can substitute into the formula. We get
Example Question #1 : How To Find The Area Of A Square
Which of the following is equal to the area of a square with perimeter 8 meters?
The sidelength of a square is one-fourth its perimeter, so the sidelength here is one-fourth of 8, or 2, meters. One meter is equal to 100 centimeters, so the sidelength is 200 centimeters. Square this to get the area:
Example Question #2 : How To Find The Area Of A Square
Which of the following is the area of a square with perimeter 7 feet?
Convert 7 feet to inches by multiplying by 12: 
The sidelength of a square is one-fourth its perimeter, so the sidelength here is one-fourth of 84 inches. This is 
Square this to get the area:
Example Question #121 : Plane Geometry
What is the area of a square with a side length of 4?
16
12
4
14
8
16
The area of a square is represented by the equation 
Therefore the area of this square is 
Example Question #122 : Plane Geometry
Square A has sides measuring 5 meters. A second square, Square B, has sides that are 2 meters longer than the sides of Square A. What is the difference in area of Square A and Square B?
The area of Square A is 5 * 5, or 25 m2.
Since each of Square B's sides is 2 meters longer, the sides measure 7 meters. Therefore, the area of square B is 49 m2.
Subtract to find the difference in areas:
All ISEE Middle Level Math Resources
