All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #1 : How To Find The Length Of The Side Of A Square
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.
It is impossible to tell which is greater from the information given
(a) is greater
(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 inches.
(b) A square with perimeter 80 inches has sidelength inches.
The two quantities are equal.
Example Question #2 : How To Find The Length Of The Side Of A Square
Which is the greater quantity?
(a) The sidelength of a square with area square inches.
(b) The sidelength of a square with perimeter inches.
(b) is greater.
It is impossible to tell which is greater from the information given.
(a) is greater.
(a) and (b) are equal.
(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 square inches has sidelength inches.
(b) A square with perimeter inches has sidelength inches.
(a) is the greater quantity.
Example Question #3 : How To Find The Length Of The Side Of A Square
The perimeter of a square is . Give the length of each side in terms of .
Divide the perimeter of a square by 4 to get its sidelength: