SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)
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All SSAT Middle Level Math Resources
Example Questions
Example Question #63 : Plane Geometry
Note: Figure NOT drawn to scale.
Refer to the above diagram, which shows a square. Give the ratio of the area of the yellow region to that of the white region.
The correct answer is not given among the other choices.
The area of the entire square is the square of the length of a side, or
The area of the right triangle is half the product of its legs, or
The area of the yellow region is therefore the difference of the two, or
The ratio of the area of the yellow region to that of the white region is
Example Question #11 : How To Find The Area Of A Square
Find the area of a square with a width of 13cm.
To find the area of a square, we will use the following formula:
where l is the length and w is the width of the square.
Now, we know the width of the square is 13cm. Because it is a square, all sides are equal. Therefore, the length is also 13cm.
So, we can substitute. We get
Example Question #291 : Ssat Middle Level Quantitative (Math)
The width of a rectangle is half of its length. If the width is given as 
The sum of the widths is 
Example Question #291 : Ssat Middle Level Quantitative (Math)
The above figure shows the size and shape of a yard that is to be surrounded by some fence. How many feet of fence will be needed?
Note: all sides meet at right angles.
The best way to see that 750 feet of fence are needed is to look at this augmented diagram.
Note that two of the sides are extended to form a smaller rectangle whose sides can be deduced by subtraction. Since opposite sides of a rectangle are congruent, this allows us to fill in the two missing sidelengths of the original figure.
Now add:
Example Question #1 : Rectangles
Give the perimeter of the rectangle in the above diagram.
The perimeter of a rectangle is the sum of the length and the width, multiplied by 2:
The rectangle has a perimeter of 38 centimeters.
Example Question #292 : Ssat Middle Level Quantitative (Math)
Give the perimeter of the rectangle in the above diagram.
The perimeter of a rectangle can be calculated by multiplying two by the sum of the length and width of the rectangle.
The perimeter of the rectangle is 
Example Question #2 : Rectangles
Figure NOT drawn to scale.
Give the perimeter of the green polygon in the above figure.
The perimeter cannot be determined from the information given.
Since opposite sides of a rectangle have the same measure, the missing sidelengths can be calculated as in the diagram below:
The sidelengths of the green polygon can now be added to find the perimeter:
Example Question #293 : Ssat Middle Level Quantitative (Math)
The width of a rectangle is one-third of its length. If the width is given as 
The perimeter of a rectangle is the sum of its sides.
The sum of the widths is 
Example Question #294 : Ssat Middle Level Quantitative (Math)
You are given equilateral triangle 
with 
What is the perimeter of Rectangle 
Also, since opposite sides of a rectangle are congruent,
The perimeter of Rectangle 
Example Question #212 : Geometry
A hectare is a unit of area equal to 10,000 square meters.
A 150-hectare plot of land is rectangular and is 1.2 kilometers in width. Give the perimeter of this land.
150 hectares is equal to 
The width of this land is 1.2 kilometers, or 
The perimeter of the land is
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All SSAT Middle Level Math Resources
