SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)
Study concepts, example questions & explanations for SSAT Upper Level Math
All SSAT Upper Level Math Resources
Example Questions
Example Question #2 : How To Find The Perimeter Of A Square
Half of the side length of a square is equal to 
Give its perimeter in terms of 
Perimeter of a square is four times the length of a side. The half-length of each side is equal to 
So we can write:
Example Question #772 : Geometry
The perimeter of a square is equal to 64 meters. Give the length of each side in centimeters.
Perimeter of a square is four times the length of a side. The perimeter is known here and equal to 64 meters. So we can write:
where 
The length of each side is 16 meters. There are 100 centimeters in a meter. So we get:
Example Question #4 : How To Find The Perimeter Of A Square
The side length of a square is equal to 
The perimeter is the total distance around the outside, which can be found by adding together the length of each side. In the case of a square, all four sides have the same length, so the perimeter is four times the length of a side. So we can write:
Perimeter of square = 
In this problem:
Example Question #781 : Geometry
The length of each side of the square is 
To find the perimter of a square, multiply the side length by 4.
Example Question #782 : Geometry
A square has a diagonal length of 
Since the diagonal of a squre is also the hypotenuse of a right triangle whose legs are the sides of the square, use the Pythagorean Theorem to find out the lengths of the sides of the square.
Now, multiply the side length by 4 to find the perimter.
Example Question #4 : How To Find The Perimeter Of A Square
The area of a square is 
To figure out the perimeter, we need to first find the length of 1 side of the square.
Find the length of a side of the square using the information given about the area.
Now, multiply the side length by 4.
Example Question #8 : How To Find The Perimeter Of A Square
The diagonal of a square is 
The diagonal of a square is also the hypotenuse of a triangle whose legs are two sides of the square. Using that information, we can find the length of each side of the square.
Now, multiply the side length by 4 to find the perimeter.
Example Question #9 : How To Find The Perimeter Of A Square
The track at Harriet Beecher Stowe High School is a perfect square of with diagonal 600 feet, and is shown in the above figure. Beginning at point A, Corinne runs around the track clockwise three complete times, then contunes to run until she reaches point B. Which of the following comes closest to the distance Corinne runs?
You will need to know that 
A square with diagonal 600 feet will have as its sidelength
If Corinne runs the entire perimeter of the square three times, and then runs on to Point B, she will run this distance a total of about 
Divide by 5,280 to convert to miles:
The closest response is 1 mile.
Example Question #6 : How To Find The Perimeter Of A Square
The track at Frederick Douglass High School is a perfect square of with diagonal 400 feet, and is shown in the above figure. Julia wants to run around the track for one mile. If Julia starts at point A and runs clockwise, where will she be after she has run for a mile?
A hint:
A square with diagonal 400 feet will have as its sidelength
Julia wants to run one mile, or 5,280 feet; this will be
Julia will run around the track four times, then another 2 sidelengths. She will then run seven-tenths of the length of the "bottom" side, ending up at point D.
Example Question #1 : How To Find The Area Of A Square
The volume of a cube is 1,000 cubic centimeters. Using the conversion factor 2.5 centimeters = 1 inch, give its surface area in square inches, rounding to the nearest square inch.
144 square inches
100 square inches
108 square inches
96 square inches
75 square inches
96 square inches
The surface area of a cube is six times the square of its sidelength, so we find the sidelength. This is the cube root of volume 1,000, so
To rewrite this as inches, divide by 2.5:
The surface area of the cube in square inches is
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