InkLoop/NYS Standards/NY-G.MG.2NY-G.MG.2
GeometryModeling with Geometry60 target questions
Apply concepts of density based on area and volume in modeling situations (e.g. persons per square mile BTUs per cubic foot).
Sample Practice Questions (3)
1
A spherical balloon is filled with a gas that has a density of . If the radius of the balloon is meters, what is the mass of the gas inside the balloon to the nearest tenth of a kilogram?
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
2
A circular nature preserve has a radius of miles. A recent survey found that there are approximately trees within the preserve. To the nearest whole number, what is the density of trees per square mile?
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
3
A developer is purchasing a plot of land shaped like a trapezoid, as shown in the diagram. The purchase price is \$120,000. What is the cost of the land per square foot?
A\$10.00
B\$12.00
C\$20.00
D\$8.00
Multiple choice · diagramSee Answer + Explanation →
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NY-G.CO.1Know precise definitions of angle circle perpendicular line parallel line and line segment based on the undefined notions of point line distance along a line and distance around a circular arc.→NY-G.CO.2Represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.→NY-G.CO.3Given a rectangle parallelogram trapezoid or regular polygon describe the rotations and reflections that carry it onto itself.→NY-G.CO.4Develop definitions of rotations reflections and translations in terms of angles circles perpendicular lines parallel lines and line segments.→