Mathematics
6th Grade
HSG-GMD covered
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11 questions
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1.
OPEN ENDED QUESTION
1 min • 1 pt
A food company is designing boxes for several products. Each box is a rectangular prism. The company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will the extra large box contain? Explain or show your reasoning.
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Tags
HSG-GMD
HSN-Q.A.1
2.
OPEN ENDED QUESTION
1 min • 1 pt
A food company is designing boxes for several products. Each box is a rectangular prism. The company also wants to offer a family size box of cereal. The family size box will be a dilation of the single serving 1.2-ounce box. It must contain 18.75 ounces of cereal. What scale factor does the company need to use for the family size box? Explain or show your reasoning.
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Tags
HSG-GMD
HSN-Q.A.1
3.
OPEN ENDED QUESTION
1 min • 1 pt
A food company is designing boxes for several products. Each box is a rectangular prism. The food company is now designing soup boxes. The largest box of soup will be a dilation of the smallest box using a scale factor of 2. The smallest box must hold 8 fluid ounces or about 15 cubic inches of soup. Find a set of dimensions for the largest box. Round your answers to the nearest tenth if necessary. Explain or show your reasoning.
Evaluate responses using AI:
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Tags
HSG-GMD
HSN-Q.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A trapezoid has an area of 100 square units. What scale factor would be required to dilate the trapezoid to have each area?
6400 square units
900 square units
100 square units
25 square units
Tags
CCSS.7.G.A.1
5.
MATH RESPONSE QUESTION
1 min • 1 pt
The scale factor for this dilation is:
Mathematical Equivalence
ON
Tags
CCSS.8.G.A.3
6.
MULTIPLE SELECT QUESTION
1 min • 1 pt
A triangle has an area of 6 square inches and a perimeter of 12 inches. Suppose it is dilated by some scale factor, and the area and perimeter of the image are calculated. Match each graph with the relationship it represents.
Tags
CCSS.7.G.A.1
7.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Select all solids whose cross sections are dilations of some two-dimensional shape using a point directly above the shape as a center and scale factors ranging from 0 to 1.
cylinder
cube
triangular prism
cone
triangular pyramid
Tags
CCSS.7.G.A.3
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