ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning
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All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #257 : Geometry
The above figure gives the lengths of the three sides of the triangle in feet. Give its area in square inches.
The area of a right triangle is half the product of the lengths of its legs, which here are 
Multiply each length by 12 to convert to inches - the lengths become 
Example Question #258 : Geometry
Figure NOT drawn to scale
Square 
(a) The area of
(b) The area of
(a) and (b) are equal
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) is the greater quantity
(b) is the greater quantity
Square 
Since 
Therefore, 
Since 
and
Example Question #4 : How To Find The Area Of A Triangle
Figure NOT drawn to scale.
In the above diagram, Square 
(a) The area of
(b) The area of
(a) is the greater quantity
It is impossible to determine which is greater from the information given
(a) and (b) are equal
(b) is the greater quantity
(b) is the greater quantity
Square 
The area of a right triangle is half the product of the lengths of its legs.
Example Question #4 : How To Find The Area Of A Triangle
Figure NOT drawn to scale
The above diagram depicts Parallelogram 
(a) The area of
(b) The area of
It is impossible to determine which is greater from the information given
(a) is the greater quantity
(a) and (b) are equal
(a) and (b) are equal
Opposite sides of a parallelogram have the same measure, so
Base 
Therefore, the areas of 
Example Question #21 : Triangles
Refer to the above figure. Which is the greater quantity?
(a) The perimeter of the triangle
(b) 3 feet
(a) is the greater quantity
(b) is the greater quantity
It is impossible to determine which quantity is the greater from the information given
(a) and (b) are equal
(b) is the greater quantity
The perimeter of the triangle - the sum of the lengths of its sides - is
3 feet are equivalent to 
Example Question #651 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
Which is the greater quantity?
(a) 370 meters
(b) 3,700 centimeters
(a) and (b) are equal
(a) is the greater quantity
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) is the greater quantity
One meter is equivalent to 100 centimeters, so 370 meters can be converted to centimeters by multiplying by 100:
370 meters are equal to 37.000 centimeters and is the greater quantity.
Example Question #652 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
Which is the greater quantity?
(a) 4.8 kilometers
(b) 4,800 meters
It is impossible to determine which is greater from the information given
(a) is the greater quantity
(a) and (b) are equal
(b) is the greater quantity
(a) and (b) are equal
One kilometer is equal to 1,000 meters, so convert 4.8 kilometers to meters by multiplying by 1,000:
The two quantities are equal.
Example Question #653 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
A regular pentagon has perimeter 1 yard. Give the length of one side.
A regular pentagon has five sides of equal length. The perimeter, which is the sum of the lengths of these sides, is one yard, which is equal to 36 inches. Therefore, the length of one side is
Example Question #654 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
A regular hexagon has perimeter 8 feet. Give the length of one side.
18 inches
12 inches
16 inches
24 inches
16 inches
The perimeter can be converted from feet to inches by multiplying by conversion factor 12 {inches per foot):
A regular hexagon has six sides of equal length. Divide this perimeter by 6 to obtain the length of each side:
Example Question #655 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
Which is the greater quantity?
(a) The sidelength of a cube with surface area
(b) The sidelength of a cube with volume
It is impossible to tell from the information given
(a) is greater
(a) and (b) are equal
(b) is greater
(a) and (b) are equal
(a) A cube has six faces, each a square. Since the surface area of this cube is 
(b) The volume of a cube is the cube of its sidelength, so we take the cube root of the volume of this cube to get the sidelength:
The cubes have the same sidelength.
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