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 #2 : Geometry

An equilateral triangle has perimeter  centimeters. How long is one side?

Possible Answers:

Correct answer:

Explanation:

An equilateral triangle has three sides of equal measure, so divide its perimeter by :

Example Question #11 : How To Find Perimeter Of A Triangle

Find the perimeter of an equilateral triangle with a base of 11in.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

 

Now, we know the base of the equilateral triangle is 11in.  Because it is an equilateral triangle, all sides are equal.  Therefore, all sides are 11in.  

So, we can substitute.  We get

Example Question #261 : Ssat Middle Level Quantitative (Math)

Which of these choices can the perimeter of an isosceles triangle possibly be if you know that two sides have lengths 12 and 13?

Possible Answers:

Correct answer:

Explanation:

An isosceles triangle has two sides of equal length. If two sides of an isoscelese triangle are of length 12 and 13, then the third must be of length 12 or 13.

This makes the perimeter either

or

Of our choices, we choose 38.

Example Question #1 : Squares

Florence wants to build a fence to surround her square garden.  The garden has an area of 16 square yards. How much fencing will she need?

Possible Answers:

Correct answer:

Explanation:

So this question requires you to know the formula for area for a square which is side squared.  

Thus, , so one side is the square root of 16, or 4.  

To figure out the perimeter, add up all of the sides of the square which are all the same (4).

Example Question #1 : Squares

A square has perimeter 89.4 centimeters. What is the length of one side?

Possible Answers:

Correct answer:

Explanation:

A square has four sides of equal measure, so divide its perimeter by 4:

Example Question #1 : Quadrilaterals

A square has perimeter 16 feet 4 inches. What is the length of one side?

Possible Answers:

3 feet 11 inches

3 feet 9 inches

4 feet 1 inch

4 feet 5 inches

4 feet 3 inches

Correct answer:

4 feet 1 inch

Explanation:

One foot is equal to 12 inches, so the perimeter 16 feet 4 inches is equal to  inches.

An square has four sides of equal measure, so divide its perimeter by 4:

To convert 49 inches to feet and inches:

One side measures 4 feet 1 inch.

Example Question #3 : Squares

The length of one side of a square is  What is the perimeter of this square?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a shape is the distance around the outside boundry of that shape.

In order to find the perimeter, add up the lengths of the sides of that shape.

Because a square has four equal sides, add  to find the perimeter. Equivalently, multiply .

Example Question #2 : How To Find The Perimeter Of A Square

Find the perimeter of the square in the figure.

Screen_shot_2014-02-26_at_3.59.38_pm 

Possible Answers:

Correct answer:

Explanation:

Finding perimeter is easiest with squares. Perimeter is the distance around the outside of the figure. There are two good ways to find the perimeter. The first and longer method of finding perimeter is simply to add up the length of each side. Thus, we would take the length of top of the square and add it to the length of the right side. We'd continue all the way around. The formula for this method could be written like so: 

top + right side + bottom + left side = perimeter.

Since a square has equal sides all around, we could also write the formulalike so:

The second and easier way of finding perimeter for a square is a simplification of the first method. Instead of adding the same number four times we could simply multiply by 4. Written as a formula, this would look like this:

For the this question, your work should then look like one of these two options:

or

Example Question #1 : Quadrilaterals

Find the perimeter of the square in the figure.

 Screen_shot_2014-02-26_at_4.07.44_pm

Possible Answers:

Correct answer:

Explanation:

Finding perimeter is easiest with squares. Perimeter is the distance around the outside of the figure. There are two good ways to find the perimeter. The first and longer method of finding perimeter is simply to add up the length of each side. Thus, we would take the length of top of the square and add it to the length of the right side. We'd continue all the way around. The formula for this method could be written like so: 

top + right side + bottom + left side = perimeter.

Since a square has equal sides all around, we could also write the formulalike so:

The second and easier way of finding perimeter for a square is a simplification of the first method. Instead of adding the same number four times we could simply multiply by 4. Written as a formula, this would look like this:

For the this question, your work should then look like one of these two options:

or

Example Question #5 : Squares

Find the perimeter of the square in the figure. 

Screen_shot_2014-02-26_at_4.10.45_pm

Possible Answers:

Correct answer:

Explanation:

Finding perimeter is easiest with squares. Perimeter is the distance around the outside of the figure. There are two good ways to find the perimeter. The first and longer method of finding perimeter is simply to add up the length of each side. Thus, we would take the length of top of the square and add it to the length of the right side. We'd continue all the way around. The formula for this method could be written like so: 

top + right side + bottom + left side = perimeter.

Since a square has equal sides all around, we could also write the formulalike so:

The second and easier way of finding perimeter for a square is a simplification of the first method. Instead of adding the same number four times we could simply multiply by 4. Written as a formula, this would look like this:

For the this question, your work should then look like one of these two options:

or

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