SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #243 : Geometry

Swimming_pool

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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

Rectangles 1

Refer to the above figures. The square at left has area 160. Give the area of the rectangle at right.

Possible Answers:

Correct answer:

Explanation:

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

Figures 2

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?

Possible Answers:

Correct answer:

Explanation:

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)

Parallelogram

Note: Figure NOT drawn to scale

In the above diagram, 

Give the area of the parallelogram.

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Correct answer:

Explanation:

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 .

Possible Answers:

Correct answer:

Explanation:

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 .

Possible Answers:

Correct answer:

Explanation:

The area  of a parallelogram with height  and base  can be found with the equation . Consequently:

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