All ISEE Middle Level Math Resources
Example Questions
Example Question #1 : How To Find Length Of A Line
Figure NOT drawn to scale.
Evaluate .
By the Segment Addition Postulate,
Example Question #2 : How To Find Length Of A Line
What is the length of a line segment with end points and
?
The length of a line segment can be determined using the distance formula:
Example Question #3 : How To Find Length Of A Line
What is the length of a line with endpoints and
.
To find the length of this line, you can subtract to get
. Since the y-coordinates are the same, you don't have to take any vertical direction into account. Therefore, you only look at the x-coordinates!
Example Question #4 : How To Find Length Of A Line
Find the length of the line segment whose endpoints are and
.
We can use the distance formula:
Example Question #1 : How To Find Length Of A Line
The point lies on a circle. What is the length of the radius of the circle if the center is located at
?
The radius is the distance from the center of the circle to anypoint on the circle. So we can use the distance formula in order to find the radius of the circle:
Example Question #1 : How To Find Length Of A Line
The coordinates of and
are
and
. Find the length of the diagonal of the following rectangle:
A rectangle has two diagonals with the same length. So we should find the length of . We can use the distance formula:
Example Question #11 : Lines
If a circle has a radius of 12 inches, the biggest line that would be drawn within the circle is:
The largest line that can be drawn within a circle is the diamater. The diameter is equal to twice the radius. Given that the radius is equal to 12 inches, the largest line that could be drawn (the diameter) would be equal to 24 inches.
Example Question #3 : How To Find Length Of A Line
If you stand on a giant number line at point , what is your distance from point
?
The distance on a number line is the number of whole number places between two numbers. When you are going from a negative value to a positive one or vice versa, you must find the distance from that both points are then add them together.
is
spaces away from
and
is
spaces away. To find the distance you then add your two values of
and
to get
.
Example Question #4 : How To Find Length Of A Line
One of the legs on a right triangle has a measurement of and the other leg has a measurement of
What is the length of the hypotenuse?
The Pythagorean Theorem states:
where
represents the hypotenuse and
and
represent the measurements of the legs of the right triangle.
Example Question #5 : How To Find Length Of A Line
A right triangle has one leg with a length of and a hypotenuse of
. What is the approximate measurement of the missing length?
The Pythagorean Theorem states that
Where and
are the measurements of each leg and
is the hypotenuse.
All ISEE Middle Level Math Resources
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