ISEE Upper Level Quantitative : Squares
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Example Questions
Example Question #31 : Squares
Which is the greater quantity?
(a) The sidelength of a square with area 400 square inches.
(b) The sidelength of a square with perimeter 80 inches.
(a) is greater
It is impossible to tell which is greater from the information given
(a) and (b) are equal
(b) is greater
(a) and (b) are equal
The sidelength of a square is the square root of its area and one-fourth of its perimeter, so:
(a) A square with area 400 square inches has sidelength 
(b) A square with perimeter 80 inches has sidelength 
The two quantities are equal.
Example Question #32 : Squares
Which is the greater quantity?
(a) The sidelength of a square with area 
(b) The sidelength of a square with perimeter 
(b) is greater.
(a) is greater.
(a) and (b) are equal.
It is impossible to tell which is greater from the information given.
(a) is greater.
The sidelength of a square is the square root of its area and one-fourth of its perimeter, so:
(a) A square with area 
(b) A square with perimeter 
(a) is the greater quantity.
Example Question #33 : Squares
The perimeter of a square is 
Divide the perimeter of a square by 4 to get its sidelength:
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