All SSAT Middle Level Math Resources
Example Questions
Example Question #243 : Geometry
The above depicts a rectangular swimming pool for an apartment. The pool is five feet deep everywhere.
An apartment manager wants to paint the four sides and the bottom of the swimming pool. One one-gallon can of the paint he wants to use covers square feet. How many cans of the paint will the manager need to buy?
The bottom of the swimming pool has area
square feet.
There are two sides whose area is
square feet,
and two sides whose area is
square feet.
Add the areas:
square feet.
One one-gallon can of paint covers 350 square feet, so divide:
Seven full gallons and part of another are required, so eight is the correct answer.
Example Question #84 : Quadrilaterals
You are putting in a new carpet in your living room. The dimensions of the the room are . What is the square footage of carpet needed for the room?
To find the area of a rectangle, you must multiply the two different side lengths. For this room the answer would be because .
Example Question #82 : Quadrilaterals
Refer to the above figures. The square at left has area 160. Give the area of the rectangle at right.
The area of the square, whose sides have length , is the square of this sidelength, which is . The area of the rectangle is the product of the lengths of its sides; this is
The square and the rectangle have the same area, so the correct response is 160.
Example Question #41 : How To Find The Area Of A Rectangle
Figure NOT drawn to scale.
Figure 1 and Figure 2 have the same area. The shaded portion of Figure 1 has area 64. What is the area of the shaded portion of Figure 2?
Figure 1 is a rectangle divided into 24 squares of equal size; 3 of the squares are shaded, which means that of Figure 1 is shaded.
Figure 2 is a circle divided into 8 sectors of equal size; 1 is shaded, which means that of Figure 2 is shaded.
Since the two figures are of the same area, the two shaded portions, each of which have an area that is the same fraction of this common area, must themselves have the same area. Since the shaded portion of Figure 1 has area 64, so does the shaded portion of Figure 2.
Example Question #351 : Ssat Middle Level Quantitative (Math)
Note: Figure NOT drawn to scale
In the above diagram,
Give the area of the parallelogram.
The area of a parallelogram is its base multiplied by its height - represented by and here:
Note that the value of is irrelevant.
Example Question #2 : Parallelograms
A given parallelogram has a base in length, a height in length, and a side of length opposite the height. What is the area of the parallelogram?
The formula for the area of a parallelogram is , with base and height represented by and , respectively. Substituting values from the question:
Example Question #351 : Ssat Middle Level Quantitative (Math)
A parallelogram has a height of in length, a side of length opposite the height, and a base of . What is the area of the parallelogram?
Given base and height , .
Substituting the values from our question:
Example Question #3 : Parallelograms
A parallelogram has a base of length , a height of length , and a side of length . What is the area of the parallelogram?
Given base and height , .
Substituting the values from our question:
Example Question #4 : Parallelograms
Find the area of a parallelogram with a height of , a base of , and a side length of .
The area of a parallelogram with height and base can be found with the equation . Consequently:
Example Question #3 : How To Find The Area Of A Parallelogram
Find the area of a parallelogram with a height of , base of , and a side length of .
The area of a parallelogram with height and base can be found with the equation . Consequently:
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