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Math Problems
Grade 7
Scale drawings: scale factor word problems
4
4
4
. This top view of a swimming pool is drawn on
0.5
−
c
m
0.5-\mathrm{cm}
0.5
−
cm
grid paper. The dimensions of the pool are
60
m
60 \mathrm{~m}
60
m
by
40
m
40 \mathrm{~m}
40
m
. Determine the scale factor of the reduction as a fraction or a decimal.
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The figure below shows a rope that circles the Earth. The radius of the Earth is
6371
6371
6371
kilometers.
\newline
Assuming the rope makes a perfect circle, what is the length of this rope?
\newline
Give your answer in terms of pi.
\newline
□
\square
□
kilometers
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Select the correct answer.
\newline
Which three-dimensional figure has a cross section in the shape of a trapezoid if it is sliced by a plane that is parallel to a side other than its base?
\newline
A. a cube
\newline
B. a rectangular prism
\newline
C. a square pyramid
\newline
D. a right rectangular prism
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Relate scale drawings to area
\newline
Google Classroom
\newline
Polygon
B
B
B
is a scaled copy of Polygon
A
A
A
using a scale factor of
5
5
5
.
\newline
How many times as large is the area of Polygon
B
B
B
compared to the area Polygon
A
A
A
?
\newline
Stuck? Review related articles/videos or use a hint.
\newline
Report a problem
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We want to find the intersection points of the graphs given by the following system of equations:
\newline
{
y
=
2
x
−
1
x
2
+
y
2
=
1
\left\{\begin{array}{l} y=2 x-1 \\ x^{2}+y^{2}=1 \end{array}\right.
{
y
=
2
x
−
1
x
2
+
y
2
=
1
\newline
One of the intersection points is
(
0
,
−
1
)
(0,-1)
(
0
,
−
1
)
.
\newline
Find the other intersection point. Your answer must be exact.
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