Aims Grade 8 Mathematics Sample Test And Think-Throughs With Answers Page 18
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36December 2009
A tree is 15 feet tall and casts a shadow of 4 feet in length. A child standing next to the
5a
tree casts a shadow that is 0.25 feet in length. Which is equation can be used to find the
height of the child, x?
15
x
=
A
4
0.25
15
4
=
B
0.25
x
0.25x = 4 • 15
C
15x = 4 • 0.25
D
A group of middle school students want to find the height of the school flagpole. They
5b
measure the shadow of the flagpole and find it to be 4.75 feet. One of the students, who is
5 feet tall, stands next to the flagpole. Her shadow is 2 feet in length. Which equation can
the students use to find the height of the flagpole, x?
2
x
=
A
5
4.75
2
5
=
B
4.75
x
4.75 • 2 = 5x
C
5 • 4.75 = 2x
D
Summary Statement:
These problems involve creating algorithms to solve based on indirect measurement, using
proportional reasoning, dimensional analysis, and the concepts of density and rate. There is a
strong connection between this performance objective and converting within measurement
systems.
Arizona Department of Education
18
Grade 8
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