SSAT Elementary Level Math : SSAT Elementary Level Quantitative (Math)

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

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Example Questions

Example Question #653 : Plane Geometry

The perimeter of an equilateral triangle is 27in.  Find the length of one side of the triangle.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of an equilateral triangle, we will use this formula:

where a is the length of one side.  Now, to find the length of one side, we will solve for a

We know the perimeter of the triangle is 27in.  So, we will substitute.  We get

 

Therefore, the length of one side of the triangle is 9in.

Example Question #654 : Plane Geometry

Use the following triangle to solve the problem:

Triangle2

Find the perimeter.

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, given the triangle

Triangle2

we can see it has sides of length 11cm, 6cm, and 12cm.  So, we can substitute.  We get

Example Question #1 : Lines

Which is true about a ray?

Possible Answers:

A ray is a line with a start point, but no end point. 

A ray has three end points. 

A ray extends indefinitely in both directions.

A ray is always shorter than a line segment. 

A ray is always shaped like a circle.

Correct answer:

A ray is a line with a start point, but no end point. 

Explanation:

A ray always has one start point, and then continues indefinitely in the opposite direction. Line segments are different because they have a defined start and end point. 

Example Question #2 : Lines

Alex needs to buy a fence for her yard. She doesn't know how much she needs to surround the entire yard. What does she need to calculate to figure this out?

Possible Answers:

area of the yard

volume of the yard

height of the fence

perimeter of the yard

Correct answer:

perimeter of the yard

Explanation:

Perimeter is the distance around a shape. She needs to know the perimeter of her yard to determine how much fence to buy. 

Example Question #2 : Lines

Line AC is 12 inches long. If Point B is located in the center of Line AC, how many inches long is Line BC?

Possible Answers:

Correct answer:

Explanation:

Since Point B is located in the middle of Line AC, it will break Line AC into two equal line segments - Line AB and Line BC. We should divide the original length of Line AC by 2 because we are breaking the original line in half.

Example Question #3 : Lines

A line is  inches long on a number line, if the starting point is , what is the end point on the number line?

Possible Answers:

Correct answer:

Explanation:

You must add the start point to the length of the line to find the end point of the line.

Example Question #4 : Lines

A pentagon has ____ sides.

Possible Answers:

Correct answer:

Explanation:

A pentagon has five sides. 

Example Question #5 : Lines

Line AC is 24 inches long. If Point B is the midpoint of Line AC, how many inches long is Line BC?

Possible Answers:

Correct answer:

Explanation:

Point B is the midpoint that breaks Line AC into two line segments of equal length.  Therefore, to find the length of Line BC, divide the length of Line AC by 2:

Example Question #6 : How To Find Length Of A Line

What is a line segment?

 

Possible Answers:

A part of a line that connects two points.

A line that has a start point but no end point.

A line that is always greater than 10 centimeters.

A line that has no start or end points.

A line that is always smaller than 10 centimeters.

Correct answer:

A part of a line that connects two points.

Explanation:

A line segment is a part of a line that connects two points. It is different than a line and a ray because it has a defined start and end point

Example Question #1 : How To Find Length Of A Line

Which statement is true regarding line segments?

Possible Answers:

A line segment is curved.

A line segment has one endpoint, but continues indefinitely in one direction.

A line segment has three endpoints.

A line segment extends in both directions without endpoints. 

A line segment is a "piece" of a line and has two endpoints.

Correct answer:

A line segment is a "piece" of a line and has two endpoints.

Explanation:

A line segment is a piece of a line connected by two endpoints.

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