All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #1 : Lines
On a number line, what is the length of a line that stretches from to ?
is units to the left of zero on the number line. is units to the right of zero on the number line.
The length of the line would then be .
Example Question #2 : Lines
If the radius of a circle is equal to , then what is the value of the diameter?
The length of a dimater is twice the length of the radius. Given that the length of the radius is , the dimater will be equal to .
Example Question #3 : Lines
The length of is and the length of is .
What is the length of in terms of and ?
Using the segment addition postulate, we know that . We can substitute and for and and solve for .
Substitute:
Subtract y from both sides:
Simplify:
Example Question #4 : Lines
The length of BC is x and the length of CE is y.
What is the length of segment ?
Segments and make up segment . Using the segment addition postulate, add the lengths of and to find the length of .
Substitute and :
Example Question #4 : How To Find Length Of A Line
The length of is and the length of is .
What is the length of segment ?
Using the segment addition postulate, we know that . We can substitute and for and and solve for .
Substitute:
Subtract y from both sides:
Simplify:
Example Question #4 : How To Find Length Of A Line
The length of is and the length of is .
What is the length of segment in terms of and ?
Segments and make up segment . Using the segment addition postulate, add the lengths of and to find the length of .
Substitute and :
Example Question #12 : Lines
is the midpoint of the number line that extends from to . What is the value of ?
Find the average of the two endpoints to find their midpoint. To find the average of two numbers, add them together and divide by two.
Example Question #13 : Lines
How many lines of symmetry does a square have?
A line of symmetry is the imaginary line that you draw through a shape so that you can fold the image over the line and have both halves match exactly. Any regular shape has as many lines of symmetry as it does sides. Since a square has four sides, the correct answer is 4!
Example Question #14 : Lines
How many lines of symmetry does an octagon have?
A line of symmetry divides a shape into two equal and identical halves. Any regular shape has as many lines of symmetry as it does sides. Since octagons have eight sides, the correct answer is 8.
Example Question #15 : Lines
How many lines of symmetry does a rectangle have?
A line of symmetry is the imaginary line that you draw through a shape so that you can fold the image over the line and have both halves match exactly. Any regular shape has as many lines of symmetry as it does total sides. Since a rectangle has four sides, the correct answer is 4!