ISEE Upper Level (grades 9-12) Quantitative Reasoning › Squares
The perimeter of a square is one yard. Which is the greater quantity?
(a) The area of the square
(b) square foot
Which is the greater quantity?
(a) The length of a diagonal of a square with sidelength 10 inches
(b) The hypotenuse of an isosceles right triangle with legs 10 inches each
The lengths of the sides of ten squares form an arithmetic sequence. One side of the smallest square measures sixty centimeters; one side of the second-smallest square measures one meter.
Give the area of the largest square, rounded to the nearest square meter.
Which is the greater quantity?
(a) The sidelength of a square with area square inches.
(b) The sidelength of a square with perimeter inches.
Which is the greater quantity?
(a) The sidelength of a square with area square inches.
(b) The sidelength of a square with perimeter inches.
One side of a regular hexagon is 20% shorter than one side of a regular pentagon. Which is the greater quantity?
(A) The perimeter of the pentagon
(B) The perimeter of the hexagon
The sum of the lengths of three sides of a regular pentagon is one foot. Give the perimeter of the pentagon in inches.
One side of a regular pentagon is 20% longer than one side of a regular hexagon. Which is the greater quantity?
(A) The perimeter of the pentagon
(B) The perimeter of the hexagon
and
are right triangles, with right angles
, respectively.
Which is the greater quantity?
(a) The perimeter of
(b) The perimeter of
Which is the greater quantity?
(a) The length of a diagonal of a square with sidelength 10 inches
(b) The hypotenuse of an isosceles right triangle with legs 10 inches each