ISEE Middle Level Quantitative : Geometry
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All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #1 : Squares
If a square has sides measuring 
To find the perimeter of a square, you must add together all the sides. In this case, we are adding 
Since all of the denominators are the same, there is no need to find a commond denominator, so we add together the numerators. This gives us 
Since both the numerator and denomator are divisible by four, we must simplify this fraction.
The perimeter of the square is 
Example Question #1 : How To Find Perimeter
The sum of the lengths of three sides of a square is one foot. Give the perimeter of the square in inches.
It is impossible to determine the perimeter from the information given.
A square has four sides of the same length.
One foot is equal to twelve inches; since the sum of the lengths of three of the congruent sides is twelve inches, each side measures
The perimeter is
Example Question #1 : How To Find Perimeter
A square has perimeter one yard. Which is the greater quantity?
(A) The length of one side of the square
(B) 8 inches
(B) is greater
(A) and (B) are equal
(A) is greater
It is impossible to determine which is greater from the information given
(A) is greater
One yard is equal to 36 inches. A square has four sides of equal length, so one side of the square has length
Since 
Example Question #2 : How To Find Perimeter
A square has perimeter five meters. Which is the greater quantity?
(A) 1,250 millimeters
(B) The length of one side of the square
(B) is greater
It is impossible to determine which is greater from the information given
(A) and (B) are equal
(A) is greater
(A) and (B) are equal
One meter is equal to 1,000 millimeters, so the square has perimeter
A square has four sides of equal length, so one side of the square has length
The quantities are equal.
Example Question #23 : Geometry
A square lot has perimeter one mile. Which is the greater quantity?
(A) 1,320 feet
(B) The length of one side of the square
(B) is greater
(A) is greater
It is impossible to tell which is greater from the information given
(A) and (B) are equal
(A) and (B) are equal
One mile is equal to 5,280 feet. A square has four sides of equal length, so one side of the square has length
The quantities are equal.
Example Question #1 : How To Find Perimeter
The sum of the lengths of three sides of a square is 9,000 centimeters. Give its perimeter in meters.
100 centimeters are equal to one meter, so 9,000 centimeters are equal to
A square has four sides of the same length. Since the sum of the lengths of three of the congruent sides is 9,000 centimeters, or 90 meters, each side measures
The perimeter is four times this, which is
Example Question #12 : Squares
A square has perimeter one meter. Which is the greater quantity?
(A) 250 centimeters
(B) The length of one side of the square
(A) and (B) are equal
It is impossible to tell which is greater from the information given
(B) is greater
(A) is greater
(A) is greater
One meter is equal to 100 centimeters.
A square has four sides of equal length, so we will need to divide by 4 to find the length of one side.
Example Question #6 : How To Find Perimeter
Each side of a square is 
(A)
(B) The perimeter of the square
It is impossible to determine which is greater from the information given
(A) and (B) are equal
(A) is greater
(B) is greater
(A) and (B) are equal
The perimeter of a square is four times its side length:
Since the perimeter is equal to 
Example Question #10 : How To Find Perimeter
Hexagon 
(a)
(b)
(a) and (b) are equal
(a) is the greater quantity
It is impossible to determine which is greater from the information given
(b) is the greater quantity
It is impossible to determine which is greater from the information given
The length of one side of the square - in particular, that of 
Example Question #1 : Solving For Length
What is the length of a rectangular room with a perimeter of 
We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.
Subtract 
Divide 
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All ISEE Middle Level Quantitative Resources
